TAKAGI Izumi 高木泉

… Alternative Names

高木泉

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Researcher Number	40154744
Other IDs
Affiliation (Current)	2023: 東北大学, 理学研究科, 名誉教授
Affiliation (based on the past Project Information) *help	2023: 東北大学, 理学研究科, 名誉教授 2016 – 2021: 東北大学, 理学研究科, 名誉教授 2011 – 2015: 東北大学, 理学(系)研究科(研究院), 教授 2013: 東北大学, 理学研究科, 教授 1995 – 2011: 東北大学, 大学院・理学研究科, 教授 … More 2010: 東北大学, 大学院・理工学研究科, 教授 2006: Tohoku University, Graduate School of Science, Professor, 大学院理学研究科, 教授 2002: 東北大学, 教授 1998: 東北大学, 大学院理学研究科, 教授 1995: 東北大学, 理学研究科, 教授 1989 – 1994: 東北大学, 理学部, 助教授 1992: 東北大学, 理学部, 文部教官助教授 1986 – 1987: 東北大学, 理学部, 講師 Less
Review Section/Research Field	Principal Investigator 解析学 / Global analysis / Basic Section 12020:Mathematical analysis-related / Global analysis / Mathematical Sciences in Search of New Cooperation / Mathematical analysis Except Principal Investigator 解析学 / Global analysis / Geometry / Basic analysis … More / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Global analysis / Algebra / 代数学・幾何学 Less
Keywords	Principal Investigator 反応拡散系 / パターン形成 / 安定性 / 反応拡散方程式系 / 反応拡散方程式 / 平均曲率 / 特異摂動 / 集中現象 / 半線型楕円型方程式 / 半線型楕円型偏微分方程式 … More / スパイク解 / 受容体―結合基反応 / 不連続定常解 / 特異摂動解 / 界面 / パターンの崩壊 / 幾何学的変分問題 / 進行波解 / Willmore汎函数 / 赤血球膜 / 曲げエネルギー / 活性因子-抑制因子系 / 変分法 / ノイマン問題 / 受体－配体模型 / receptor-ligand 反応 / 安定定常解の連続体 / 空間的非一様性 / 一次パターンと二次パターン / 変数係数 / 配体－受体モデル / 配体ー受体モデル / 変数係数微分方程式 / 分岐図 / 出芽 / 接触と融合 / ベシクル / 束縛条件附き変分問題 / Willmore 汎函数 / 束縛条件附変分問題 / 幾何学的変分法 / 面積差弾性モデル / 非等方非一様場におけるパターン / 面積差弾性エネルギーモデル / ベシクルの形態変換 / 面積差弾性エネルギー / ベシクルの形状 / spike-layered solutions / scattering of spot-like solutions / activator-inhibitor system / blow-up of solutions / collapse of patterns / pattern formation / reaction-diffusion systems / 空間的構造 / 領域の境界の曲率 / 軌道の極限集合 / 非常に薄い領域 / 活性因子・抑制因子 / スポット解の散乱現象 / 活性因子,抑制因子 / 解の爆発 / stability / transition layer / spike-layer solutions / singular perturbation / reaction-diffusion system / 活性因子 / 遷移過程 / パターン形式 / 遷移層 / 非拡散性物質 / 非拡散性種 / 分岐解 / 不連続定常解の安定性 / 拡散成分と非拡散成分 / 第一種不連続性をもつ定常解 / 退化型反応拡散系 / 拡散性成分 / 非拡散性成分 / 多成分 / 大域的構造 / 定常解の分岐 / 定常解集合の大域構造 / 拡散誘導不安定化 / ヒドラ頭部再生モデル / 放物型偏微分方程式 / 空間の非均一性 / 曲線の変形・運動 / 楕円形偏微分方程式 / 運動神経軸索配置 / ヒドラ頭部再生実験 / 活性因子ー抑制因子系 / 幾何学的汎函数 / 非等方的非一様場 / 界面の運動 / 曲面の変形 / 自己組織化 / 空間的不均一性 / 曲面・曲線の変形 / 非線型楕円型方程式 / 不均一媒体 / 異方性 / 表面張力 / 二層ステファン問題 / 二相ステファン問題 / 樹枝状結晶 / 先端の分裂 / 粘性指 / Hele-Shaw流 / 側枝の形成 / 針状結晶 / 走化性モデル / 曲面の運動 / 非一様な媒体 / 曲面・曲線の運動 / 活性因子抑制因子系 / 脂質二層膜の形態変換 / 曲線の運動 / 非一様な媒質 / 赤血球 / 条件付極値問題 / 分岐 / ウィルモア汎函数 / 極小曲面 / イノマン問題 / 得異摂動解 / 拡散反応方程式系 / ハミルトン系 / 解の特異性の伝播 / コ-シ-問題 / 非線型楕円型偏微分方程式 / 時異摂動 … More Except Principal Investigator 反応拡散系 / 調和写像 / 偏微分方程式 / 安定性 / 拡散 / 非線形 / エネルギー不等式 / ベゾフ空間 / トーリック多様体 / ケーラー多様体 / 関数微分方程式 / reaction-diffusion system / 反応拡散方程式系 / ダイナミクス / 適切性 / 爆発解 / オイラー方程式 / ナビエ・ストークス方程式 / CR多様体 / 退化楕円型偏微分作用素 / 常微分方程式 / 一意性 / 正則性 / 解の漸近挙動 / 初期値問題の適切性 / 修正KdV方程式 / 弱解 / null condition / pattern formation / パターン形成 / Navier-Stokes equations / 特異摂動 / 分岐理論 / Navier-Stokes Equations / BMO関数 / 特異積分作用素 / harmonic maps / ナヴィエ・ストークス方程式 / 複素クライン群 / 二木指標 / 微分作用素 / 極大函数 / アインシュタイン計量 / 自己相似解 / 非線形シュレディンガー方程式 / 特異性 / 歪勾配系 / 定常解 / 3重結合 / 固有値問題 / BMO / ソボレフ空間 / 調和解析学 / 時間大域解 / ストークス作用素 / ソボレフの不等式 / 外部問題 / L^p-L^q評価 / 基本解 / 擬微分作用素 / アーベル多様体 / ウィルソン基底 / アインシュタイン・ケーラー計量 / 反応拡散方程式 / ノイマン環 / 弱解の正則性 / 漸近安定性 / 変分法 / リヤプノフ函数 / 函数微分方程式 / 有界性 / 線型作用素 / フックス型微分方程式 / ヒル方程式 / regularity / bifurcation equation / bifurcation theory / center manifold / Helfrich variational problem / Willmore functional / Evolution equations for hypersurfaces / 粘性解 / クレブシュ・ゴルダン係数 / ヘルフリッチ変分問題 / 分岐方程式 / 中心多様体 / ヘルフリッヒ変分問題 / ウィルモア汎関数 / 超曲面の発展方程式 / analysis / partial differential equations / reaction-diffusion systems / dynamics / singularity / diffusion / nonlinearity / パターン / 凝集 / 爆発 / 解析 / Besov spaces / Fourier restriction norm method / Nonlinear Schrodinger equations / Unconditional uniqueness / Long range interaction / Nonlinear scattering theory / Modified KdV / Well-posedness / 初期層 / 非相対論的極限 / 非線形Dirac方程式 / 初期値に関する一様連続依存性 / 孤立波解 / Benjamin-Bona-Mahony方程式 / エネルギー空間 / soliton-defect interaction / 安定性と不安定性 / 定在波解 / 漸近自由 / 強い意味での不安定性 / 基底定在波解 / 非線形Klein-Gordon方程式 / 変形Benjamin-Ono方程式 / 解の無条件一意性 / Besov空間 / Fourier制限ノルム法 / 非線形Schrodinger方程式 / 無条件一意性 / 長距離相互作用 / 非線形散乱理論 / 修正KdV / Stokes operator / Non-compact boundary / Helmholtz-Weyl decomposition / Turbulent Solutions / Scaling invariance / Very weak Solutions / Leray-Hopf Class / paraproduct formula / 双線形評価式 / Triebel-Lizorkin空間 / Littlewood-Paley分解 / 渦度の方程式 / 関数空間論 / 基本解の評価 / 半群の理論 / 大域解 / 平均振動 / 渦度ベクトル / コーシー問題 / Stokes作用素 / 非コンパクト境界 / Helmholtz-Weyl分解 / 乱流解 / スケール不変空間 / 超弱解 / Leray-Hopfクラス / Navier-Stokes方程式 / crystal lattice / heat kernel / mean curvature / energy functional / complex Finsler manifold / Futaki invariant / ディリクレ境界値固有値問題 / 活性因子-抑制因子型の反応拡散系 / 平均曲線 / 完備双曲性 / 概正則写像 / グラフ理論 / ヤング・ミルズ接続 / 回転面 / 複素フィンスラー空間 / 解析的連接層 / シンプレクティック多様体 / ヤン・ミルズ接続 / 概複素構造 / 活性因子・抑制因子型反応拡散系 / 結晶格子 / 熱核 / 平均曲率 / エネルギー汎関数 / 複素フィンスラー多様体 / 二木不変量 / Uniqueness / Regurality / Weak solution / Energy inequality / Energy identity / エネルギー等式 / ナヴィア・ストークス方程式 / weak solution / initial value problem / modified KdV equation / well-posedness / global existence in time / Maxwell-Higgs equations / Dirac-Proca equations / 解の正則性 / 非線形波動方程式 / 零条件(null condition) / 振動積分 / フーリエ制限空間 / 解の連続依存性 / 周期境界条件 / 初期値問題 / 修正kdV方程式 / 時間大域存在 / Maxwell-Higgs方程式 / Dirac-Proca方程式 / stability / steady state / eigenvalue analysis / bifurcation / skew-gradient systern / activator-inthibitor system / 興奮ー抑制系 / 解の爆発 / 興奮一抑制 / 分岐 / 興奮-抑制系 / Reaction-Diffusion equations / Magnetic fluid / 反応・拡散系 / 磁気流体 / Huygens operator / moments / conformal gauge transform / coincidence values / tail term of elementary solution / Hadamard coefficients / causal domain / metric principal part / ホイヘンスの原理 / 空隙 / 正規座標系 / ホイヘンス作用素 / モーメント / 共形ゲージ変換 / 同点値 / 基本解の末尾 / アダマール係数 / 因果的領域 / 計量的主要部 / Feynman-Kac formula / additive functional / large deviation / Dirichlet form / symmetric Markov process / 大変差原理 / ファイマン-カッツ汎関数 / ディクレ形式 / ディリクレ形成 / ファインマン-カッツの公式 / 加法的汎関数 / 大偏差原理 / ディリクレ形式 / 対称マルコフ過程 / exterior problem / Lorentz space / Stoker operator / singular integral operation / Fowwer transform / Inter polation space / Sobolur Space / 除去可能と特異点 / 半線形放物形方程式 / 弱解の一意性 / L^r-空間 / 斉次ソボレク空間 / ソボレフ不等式 / ハーディ空間 / 双線形作用素 / 応力テンソル / ストークス方程式 / ローレンツ空間 / クーリエ変換 / 補間空間論 / Futaki character / complex Kleinian groups / toric varieties / Laplace operators on graphs / Carnot groups / Einstein / カルノ-群 / グリーン関数 / グラフのラプラス作用素 / カルノー群 / アインシュタイン / Navier-Stokes equation / Fourier transform / C^-algebra / minimal surface / degenerate elliptic operator / wavelet / maximal function / 多変数フーリエ交換 / C^-代数 / ハ-ル基底 / 非線形放物形方程式 / 非線形双曲形方程式 / ガボ-斜交系 / 多変数フーリエ変換 / C^一環 / ガボー斜交系 / フーリエ変換 / C^-環 / 極小曲面 / 退化楕円型偏微分作用業 / ウェーブレット / 極大関数 / Inverse Problems / Concentration Phenomena / Hyperplanes Arrangements / Hyperbolic Geometries / Cone Manifolds / Types and Proof Theory / Nonlinear evolution equations / Real Analytic Methods / レフシェッツ環 / 群作用 / 量子不変量 / 無限学の解析 / 代数解析学と表現論 / 実解析的手法 / 非線型発展方程式 / モーメント写像 / 型・証明論 / 量子アフィン代数 / 型図子 / 迷問題 / 錐多様体 / 逆問題 / 集中現象 / 超平面配置 / 双曲幾何 / 錘多様体 / 型及び証明論 / 非線形発展方程式 / 実解析的方法 / Strongly pseudo-convex CR manifold / Einstein-Kaehler metric / Moduli space / Harmonic map / Geometric variational problem / Nonlinear problem / Geometry of manifolds / 自己双対計量 / 形態形式モデル / 擬射影平面 / 強擬凸CR多様体 / 複素双曲型多様体 / モジュライ空間 / 大域的変分問題 / 非線形問題 / 幾何学 / conformally flat manifold / Kaehler manifold / reaction-diffusion equation / discrete spectrum / Laplacian / fundamental group / intersection cohomology / toric variety / ベクトル束 / p進多様体 / エルゴード性 / テイト予想 / D加群 / 代数的対称空間 / 非アルキメデス的多様体 / スペクトル / アーベル曲面 / トーリック幾何 / 非線型微分方程式 / 複素数多様体 / リーマン多様体 / ミンコフスキー和 / シュレーディンガー作用素 / 有理点 / アインシュタイ・エルミート計量 / 拡散反応方程式 / スペクトル幾何 / 共形平坦多様体 / 離散スペクトル / ラプラシアン / 基本群 / 交差コホモロジー / Bloch functions / Wilson basis / Hypergeometric singularities / Non-resonance condition / Least energy solutions / Regular completion / Operating functions / Lyapunov function / 不確定性原理 / ベルヌ-イ・シフト / アプリオリ評価 / ポアンカレ写像 / ベルグマン計量 / 無条件基底 / アトム / 局所L^2評価 / ブロック函数 / 超幾何的特異性 / 非共鳴条件 / 最小エネルギー解 / 正則完備化環 / 作用函数 / リャプノフ函数 / Bergman kernel / harmonic function / functional differential equation / integrable hamiltonian system / Dirac operator / Schrodinger operator / トレリの問題 / ケ-ラ-多様体 / ハ-ディ空間 / バ-コフ標準型 / ハミルトンベクトル場 / 半線型楕円型方程式 / ヤン・ミルズ汎函数 / 周期的シュレ-ディンガ-方程式 / バ-グマン核 / 調和関数 / ハミルトン力学系 / シュレディンガ-方程式 / バ-クマン核 / 〓〓調和関数 / ハミルトン正準方程式 / ディラック作用素 / シュレディンガ-作用素 / 拡散-反應方程式 / 発展方程式 / 解折性 / 走化性粘菌モデル / 半導体シュミレーション / 臨界密度 / 非線形熱方程式 / 臨界空間 / 移流拡散方程式 / 消散型波動方程式 / 臨界型Sobolev不等式 / 非局所放物型方程式 / entropy汎函数 / 最大正則性 / 漸近展開 / 臨界指数 / drift-diffusion system / 最大正則性原理 / 有限時刻爆発 / 質量臨界 / ソボレフ臨界指数 / 退化移流拡散方程式 / モデュレーション空間 / 斉次Besov空間 / 時間局所適切性 / 非線形ｼｭﾚﾃﾞｨﾝｶﾞｰ方程式 / 非線形解析 / 定性理論 / 楕円型 / 放物型 / 関数方程式の大域理論 / 特異方程式 / 平均曲率流 / 曲率流 / ネットワーク / 退化 / 拡散系 / 界面 / 極限方程式 / 変分問題 / グラフ / 対数型一様評価 / 渦度 / ソレノイダルベクトル場 / ミレニアム問題 / 軟解 / 乱流 / 除去可能特異点 / 藤田-加藤の原理 / 補間定理 / 分数べき / 調和解析 / ストークス流 / 伴流領域 / ストレステンソル / エネルギー減衰 / 特異積分 / モレ-空間 / 楕円型偏微分作用素 / 接コ-シ-・リーマン作用素 / ベキ零リー群 / ホール伝導度 / 半群の核表現 / 解の大域的挙動 / リヤプノフ関数 / 久賀-佐武のアーベル多様体 / 表現論 / K3曲面 / 数論 / 代数多様体 / 周期解 / 関数方程式 / 拡散過程 / Hardy空間 / 接コ-シ-・リーマン方程式 / Morrey空間 / カ-ルソン測度 / 調和測度 / 面積積分作用素 / 陳類 / ソボレフの臨界指数 / ヤングの図形 / 多変数超幾何函数 / stable / Hermition / Kihler / metric / Eimitein / 退化した変分問題 / 反応拡散方程式素 / 多変数正則函数 / フェルミ因子環 / シュレデンガー作用素 / ウイルソン基底 / フーリエ・マルチプライヤー / アインシュタイン・エルミート接続 / 楕円型偏微分方程式 / ループ空間 / Yang-Baxter方程式 / 半線型楕円型偏微分方程式 / 古典力学 / Klein多様体 / ALE空間 / 半線形楕円偏微分方程式 / 交叉コホモロジー / モジュライ / 安定ベクトル束 / 解析的ハミルトン系 / 半線形楕円型偏微分方程式 / ソボレフの埋蔵定理 / マルチンコンパクト化 / ポテンシャル論 / C^ー環 / 作用素環 / グリ-ン関数 / カチョポリの不等式 / 最小エネルギ-解 / 完全積分可能性 / 終局有界性 / 積分可能系 / Symplectic幾何学 / Hamilton系 / 正則ベクトル束 / ALE重力インスタントン / スペクトル不変量 / リ-マン葉層構造 / フ-リェ解析 / 超幾何型微分方程式系 / ハミルトン系 / トレリ問題 / 点疑集解 / C^代数 / アトム分解 / 行列変数函数 / 不変微分作用素 Less

Behavior of nonstationary solutions to reaction-diffusion systems possessing continua of stationary solutionsPrincipal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tohoku University
Fundamental theory of reaction-diffusion equations with variable coefficients---a panorama in Turing's sightPrincipal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tohoku University
Physical and mathematical approaches to the deformation of vesicles---from contact to adhesion, fusion and buddingPrincipal Investigator
- Principal Investigator
  
  Takagi Izumi
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical Sciences in Search of New Cooperation
- Research Institution
  Tohoku University
Control of patterns by multicomponent reaction-diffusion systems of degenerate typePrincipal Investigator
- Principal Investigator
  
  Takagi Izumi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Mathematical analysis
- Research Institution
  Tohoku University
Turing's Diffusion-Driven-Instability Revisited-from a view point of global structure of solution setsPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  2012 – 2013
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Theory of Differential Equations Applied to Biological Pattern Formation--from Analysis to SynthesisPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Mathematical analysis of dendritic crystal growthPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Research for Critical Asymptotic Structure of Nonlinear Evolution Equations
- Principal Investigator
  
  OGAWA Takayoshi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
New development of the qualitative theory of nonlinear parabolic and elliptic equations
- Principal Investigator
  
  YANAGIDA Eiji
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Institute of Technology
  Tohoku University
Qualitative Properties of Solutions of Differential Equations Modeling Biological Pattern FormationPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
ネットワーク構造に対する非線形解析
- Principal Investigator
  
  柳田英二
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
United theory of existence of global solution and its asymptotic behavior to the nonlinear partial differential equations
- Principal Investigator
  
  KOZONO Hideo
- Project Period (FY)
  2003 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Structure of Solutions and Geometric Symmetry for Nonlinear Evolution Equations
- Principal Investigator
  
  TSUTSUMI Yoshio
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
  Tohoku University
Dynamics on Nonlinear Diffusive Systems and Analysis of Singularities
- Principal Investigator
  
  YANAGIDA Eiji
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Research on geometric evolution equations for hypersurfaoes
- Principal Investigator
  
  NAGASAWA Takeyuki
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  SAITAMA UNIVERSITY
Geometry of Harmonicity
- Principal Investigator
  
  BANDO Shigetoshi
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
非線形偏微分方程式の適切性に関する統一理論の構築
- Principal Investigator
  
  小薗英雄
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
グラフ上の非線形拡散系のダイナミクス
- Principal Investigator
  
  柳田英二
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
Autonomous Formation of Spatial Structures in Solutions of Parabolic Partial Differential EquationsPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Pattern dynamics and asymptotic analysis in reaction-diffusion systems
- Principal Investigator
  
  YANAGIDA Eiji
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
Geometric invariant, propagation of singularity and asymptotic behavior for nonlinear wave equations
- Principal Investigator
  
  TSUTSUMI Yoshio
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Research on a refinement of the energy inequality for weak solutions to the Navier-Stokes equations
- Principal Investigator
  
  NAGASAWA Takeyuki
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  TOHOKU UNIVERSITY
非圧縮性粘性流体の基礎方程式の研究
- Principal Investigator
  
  KOZONO Hideo
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
赤血球膜の静的及び動的変形のモデル化とその解析Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Research on Elementary Solutions to Partial Differential Equations
- Principal Investigator
  
  SHIMAKURA Norio
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  TOHOKU UNIVERSITY
Study on Navier-Stokes equations and related nonlinear partial differential equations
- Principal Investigator
  
  MASUDA Kyuya
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Meiji University
  Tohoku University
曲げエネルギーを極小にする閉曲面と赤血球膜の形態変換Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Complex Manifolds and Gauge Theory
- Principal Investigator
  
  BANDO Shigetoshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  TOHOKU UNIVERSITY
Singularly perturbed solutions of reaction-diffusion systems and concentration phenomenaPrincipal Investigator
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOHOKU UNIVERSITY
Research on well-posedness for the Navier-Stokes equations
- Principal Investigator
  
  KOZONO Hideo
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  解析学
- Research Institution
  Tohoku University
  Nagoya University
Symmetric Markov processes and Dirichlet forms
- Principal Investigator
  
  TAKEDA Masayoshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  TOHOKU UNIVERSITY
  Osaka University
代数多様体の数論の研究
- Principal Investigator
  
  MORITA Yasuo
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
微分方程式の解の大域的挙動
- Principal Investigator
  
  加藤順二
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
変分法とその反応拡散方程式系への応用Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
多様体上の退化楕円型擬微分方程式と多変数複素解析
- Principal Investigator
  
  新井仁之
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
SEEKING FURTHER POSSIBILITIES OF MATHEMATICS
- Principal Investigator
  
  YOSHIKAWA Atsushi
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  KYUSHU UNIVERSITY
Harmonic Analysis and its Applications
- Principal Investigator
  
  IGARI Satoru
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
非線型楕円型境界値問題の解の大域的性質Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
退化楕円型境界値問題の調和解析とその多変数複素解析への応用
- Principal Investigator
  
  新井仁之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
ナヴィエ・ストークス方程式の非線形関数解析的手法による研究
- Principal Investigator
  
  増田久弥
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Mathematical problems on manifolds
- Principal Investigator
  
  ODA Tadao
- Project Period (FY)
  1995 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Study of Nonlinear problems in Geometry
- Principal Investigator
  
  NISHIKAWA Seiki
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
特異幾何構造とその応用
- Principal Investigator
  
  板東重稔
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
偏微分方程式の研究
- Principal Investigator
  
  島倉紀夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
楕円型境界値問題と領域の幾何Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
幾何構造の変形と大域的変分問題
- Principal Investigator
  
  西川青季
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
ユークリッド空間,多様体上の調和解析とその応用
- Principal Investigator
  
  猪狩惺
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
幾何構造の退化とその応用
- Principal Investigator
  
  板東重稔
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
古典力学における数学的諸問題
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式の摂動問題Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式の解の漸近的挙動
- Principal Investigator
  
  加藤順二
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学
- Principal Investigator
  
  斎藤和之
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式と摂動問題Principal Investigator
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Tohoku University
Several Problems in Analysis
- Principal Investigator
  
  SHIMAKURA Norio
- Project Period (FY)
  1991 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOHOKU UNIVERSITY
幾何学的変分問題の研究
- Principal Investigator
  
  NISHIKAWA Seiki
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
Hamilton力学系の総合的研究
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
偏微分方程式の実および複素解析的研究
- Principal Investigator
  
  SHIMAKURA Norio
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式の解の構造と漸近挙動
- Principal Investigator
  
  加藤順二
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Problems in Global Analysis
- Principal Investigator
  
  KOTAKE Takeshi
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式の解の漸近挙動
- Principal Investigator
  
  加藤順二
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
複素領域における偏微分方程式の研究
- Principal Investigator
  
  小竹武
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University

[Journal Article] Pattern formation in a reaction-diffusion-ODE model with hysteresis in spatially heterogeneous environments2021
- Author(s)
  Izumi Takagi and Conghui Zhang
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 280 Pages: 928-966
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03557
[Journal Article] Existence and stability of patterns in a reaction-diffusion-ODE system with hysteresis in non-uniform media2021
- Author(s)
  Izumi Takagi and Conghui Zhang
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: 41 Issue: 7 Pages: 3109-3140
- DOI
  10.3934/dcds.2020400
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03557
[Journal Article] Hysteresis-driven pattern formation in reaction-diffusion-ODE systems2020
- Author(s)
  Alexandra Koethe, Anna Marciniak-Czochra, Izumi Takagi
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Set. A
  
  Volume: 40 Issue: 6 Pages: 3495-3627
- DOI
  10.3934/dcds.2020170
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03557, KAKENHI-PROJECT-16KT0128
[Journal Article] Locator function for concentration points in a spatially heterogeneous semilinear Neumann problem,2019
- Author(s)
  Izumi Takagi and Hiroko Yamamoto
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: 掲載決定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16KT0128
[Journal Article] Locator function for concentration points in a spatially heterogeneous semilinear Neumann problem,2019
- Author(s)
  I. Takagi and H. Yamamoto
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: 68 Issue: 1 Pages: 63-103
- DOI
  10.1512/iumj.2019.68.7560
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16KT0128
[Journal Article] Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor2019
- Author(s)
  Ying Li, Anna Marciniak-Czochra, Izumi Takagi and Boying Wu
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: 掲載決定
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Locator function for concentration points in a spatially heterogeneous semilinear Neumann problem2019
- Author(s)
  Izumi Takagi and Hiroko Yamamoto
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: 掲載決定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis2017
- Author(s)
  Y. Li, A. Marciniak-Czochra, I. Takagi and B.Y. Wu
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 47
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis2017
- Author(s)
  Ying Li, Anna Marciniak-Czochra, Izumi Takagi and Boying Wu
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 47 Pages: 217-247
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Stable patterns with jump discontinuity in systems with Turing stability and hysteresis2017
- Author(s)
  S. Haerting, A. Marciniak-Czochra and I. Takagi
- Journal Title
  
  Discrete Contin. Dyn. Syst. Series A
  
  Volume: 37 Issue: 2 Pages: 757-800
- DOI
  10.3934/dcds.2017032
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Pattern formation in a diffusion -ODE model with hysteresis2015
- Author(s)
  Anna Marciniak-Czochra, Madoka Nakayama and Izumi Takagi
- Journal Title
  
  Differential Integral Equations
  
  Volume: 28 Pages: 655-694
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Pattern formation in a diffusion-ODE model with hysteresis2015
- Author(s)
  A. Marciniak-Czochra, M. Nakayama and I. Takagi
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-22244010
[Journal Article] Pattern formation in a diffusion-ODE model with hyteresis2015
- Author(s)
  Anna Marciniak-Czochra, Madoka Nakayama and Izumi Takagi
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26610027
[Journal Article] Global bifurcation structure on a shadow system with a source term―representation of all solutions2011
- Author(s)
  H. Takaichi, I. Takagi, S. Yotsutani
- Journal Title
  
  Discrete Cotin. Dyn. Syst. (8th AIMS conference Suppl)
  
  Volume: 4 Pages: 1344-1350
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] 「パターン形成の方程式」,現象から方程式を創り出す-立式で鍛える論理的思考法-第14回2011
- Author(s)
  高木泉
- Journal Title
  
  数理科学(サイエンス社)
  
  Volume: 2011年3月号 Pages: 37-74
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] On the role of basic production terms in an activator-inhibitor system modeling biological pattern formation2011
- Author(s)
  Kanako Suzuki, Izumi Takagi
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: 54 Pages: 237-274
- NAID
  130000953648
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244010
[Journal Article] On the Role of Basic Production Terms in an Activator-Inhibitor System Modeling Biological Pattern Formation2011
- Author(s)
  K. Suzuki, I. Takagi
- Journal Title
  
  FE
  
  Volume: 54 Issue: 2 Pages: 237-274
- DOI
  10.1619/fesi.54.237
- NAID
  130000953648
- ISSN
  0532-8721
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009, KAKENHI-PROJECT-23740118
[Journal Article] On the role of basic production terms in an activator-inhibitor system modeling biological pattern formation2011
- Author(s)
  Suzuki, Kanako; Takagi, Izumi
- Journal Title
  
  Funkcial. Ekvac.
  
  Volume: 54, no.2 Pages: 237-274
- NAID
  130000953648
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Collapse of patterns and effect of basic production terms in some reaction-diffusion systems2010
- Author(s)
  K.Suzuki, I.Takagi
- Journal Title
  
  Mathematical Sciences and Applications : Current Advances in Nonlinear Analysis and Related Topics 32(掲載決定)
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Representation formula for the critical points of the Tadjbakhsh-Odeh functional and its application2009
- Author(s)
  K.Watanabe, I.Takagi
- Journal Title
  
  Japan J.Indust.Appl.Math. 25
  
  Pages: 331-372
- NAID
  10023986036
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204014
[Journal Article] Behavior of Solutions to an activator-inhibitor system with basic production terms2009
- Author(s)
  Kanako Suzuki, Izumi Takagi
- Journal Title
  
  Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2008 held at Takachiho/University of Miyazaki 1-7
  
  Pages: 49-59
- NAID
  120006654389
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Behavior of solutions to an activator-inhibitor system with basic production terms2009
- Author(s)
  Kanako Suzuki and Izumi Takagi
- Journal Title
  
  Proceedings of Czech-Japanese Seminar in Applied Mathematics 2008, COE Lect.Note 14, Kyushu Univ. Global COE Program
  
  Pages: 49-59
- NAID
  120006654389
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Representation formula for the critical points of theTadjbakhsh-Odeh functional and its application2008
- Author(s)
  K. Watanabe, I. Takagi
- Journal Title
  
  Japan J Indust. Appl. Math
  
  Volume: 25 Pages: 331-372
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204014
[Journal Article] Representation formula for the critical points of the Tadjbakhsh Odeh functional and its application2008
- Author(s)
  Kohtaro Watanabe, Izumi Takagi
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics 25
  
  Pages: 331-372
- NAID
  10023986036
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Representation formula for the critical point of the Tadjbakhsh-Odeh functional and its application2008
- Author(s)
  I. Takagi
- Journal Title
  
  Japan J. Indust. Appl. Math. 25
  
  Pages: 331-372
- NAID
  10023986036
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204014
[Journal Article] Representation formula for the critical points of the Tadjbakhsh-Odeh functional and its application2008
- Author(s)
  Kohtaro Watanabe and Izumi Takagi
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics 25
  
  Pages: 331-372
- NAID
  10023986036
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria2007
- Author(s)
  Khin Phyu Phyu Htoo, M. Mimura and I. Takagi
- Journal Title
  
  Advanced Studies in Pure Mathematics 47-2
  
  Pages: 613-622
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion2007
- Author(s)
  W. -M. Ni, K. Suzuki and I. Takagi
- Journal Title
  
  Advanced Studies in Pure Mathematics 47-2
  
  Pages: 689-708
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] On the role of the source terms in an activatorinhibitor system proposed by Gierer-Meinhardt, Advanced Studies in Pure Mathematics2007
- Author(s)
  Kanako Suzuki, Izumi Takagi
- Journal Title
  
  Asymptotic Analysis and Singularities 42
  
  Pages: 749-766
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] On the role of the source terms in an activator-inhibitor system proposed by Gierer and Meinhardt. Asymptotic analysis and singularities-elliptic and parabolic PDEsand related problems2007
- Author(s)
  K. Suzuki, I. Takagi
- Journal Title
  
  Pure Math
  
  Volume: 47-2 Pages: 749-766
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204014
[Journal Article] On the role of the source terms in an activator-inhibitor system proposed by Gierer-Meinhardt2007
- Author(s)
  Kanako Suzuki and Izumi Takagi
- Journal Title
  
  Advanced Studies in Pure Mathematics 47-2
  
  Pages: 749-766
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] The dynamics of a kinetic activator-inhibitor system2006
- Author(s)
  Wei-Ming Ni, Kanako Suzuki, Izumi Takagi
- Journal Title
  
  J.Differential Equations 229
  
  Pages: 426-465
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] The dynamics of a kinetic activator-inhibitor system2006
- Author(s)
  W.-M.Ni, I.Takagi, K.Suzuki
- Journal Title
  
  J. Differential Equations 229
  
  Pages: 426-465
- Data Source
  KAKENHI-PROJECT-18204010
[Journal Article] The dynamics of a kinetic activator-inhibitor systems2006
- Author(s)
  W.-M.Ni, K.Suzu, I, I.Takagi
- Journal Title
  
  J. Differential Equations 229
  
  Pages: 426-465
- Data Source
  KAKENHI-PROJECT-16654032
[Journal Article] The dynamics of a kinetic activator-inhibitor systems2006
- Author(s)
  W.-M.Ni, K.Suzu, I, I.Takagi
- Journal Title
  
  J. Differential Equations 229
  
  Pages: 426-465
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] The dynamics of a kinetic activator-inhibitor systems2006
- Author(s)
  W.-M.Ni, K.Suzu, I, I.Takagi
- Journal Title
  
  J.Differential Equations 229
  
  Pages: 426-465
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] Instability of standing waves for nonlinear Schrodinger equations with inhomogeneous nonlinearities2005
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  J.Math.Kyoto Univ. 45・1
  
  Pages: 145-158
- Data Source
  KAKENHI-PROJECT-15204008
[Journal Article] Instability of standing waves for nonlinear Schrodinger equations with inhomogeneous nonlinearities2005
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  J.Math.Kyoto Univ. 45-1
  
  Pages: 145-158
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15204008
[Journal Article] Instability of standinge waves for nonlinear Schrodinger equations with ihomogeneous nonlinearities2005
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  J. Math. Kyoto Univ. 45・1
  
  Pages: 145-158
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15204008
[Journal Article] Stability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16(1)
  
  Pages: 111-128
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Instability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16(6)
  
  Pages: 691-706
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Instability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16
  
  Pages: 691-706
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Bifurcating critical points of bending energy under constraints related to the shape of red blood cells2003
- Author(s)
  T.Nagasawa, I.Takagi
- Journal Title
  
  Calc.Var.Paritial Differential Equations 13
  
  Pages: 63-111
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] Bifurcating critical points of bending energy under constraints related to the shape of red blood cells2003
- Author(s)
  T.Nagasawa, I.Takagi
- Journal Title
  
  Calculus of Variations and Partial Differential Equations 16
  
  Pages: 63-111
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440050
[Journal Article] Instability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16・6
  
  Pages: 691-706
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Stability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16・1
  
  Pages: 111-128
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Stability of standing waves for nonlinear Schrodinger equations with potentials2003
- Author(s)
  R.Fukuizumi, M.Ohta
- Journal Title
  
  Differential Integral Equations 16
  
  Pages: 111-128
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Bifurcating critical points of bending energy under constraints related to the shape of red blood cells2003
- Author(s)
  T.Nagasawa, I.Takagi
- Journal Title
  
  Calc. Var. Paritial Differential Equations 13
  
  Pages: 63-111
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion
- Author(s)
  W.-M.Ni, K.Suzuki, I.Takagi
- Journal Title
  
  "Asymptotic Analysis and Singularity", Advanced Studies in Pure Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-14340021
[Journal Article] Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria
- Author(s)
  K.P.Htoo, M.Mimura, I.Takagi
- Journal Title
  
  "Asymptotic Analysis and Singularity", Advanced Studies in Pure Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-14340021
[Journal Article] Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria
- Author(s)
  K.P.Htoo, M.Mimura, I.Takagi
- Journal Title
  
  Asymptotic Analysis and Singularity, Advanced Studies in Pure Mathematics (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340021
[Journal Article] Globalsolutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria
- Author(s)
  K.P.Htoo, M.Mimura, I.Takagi
- Journal Title
  
  "Asymptotic Analysis and Singularity", Advanced Studies in Pure Mathematics (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340021
[Journal Article] Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion
- Author(s)
  W.-M.Ni, K.Suzuki, I.Takagi
- Journal Title
  
  "Asymptotic Analysis and Singularity", Advanced Studies in Pure Mathematics (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340021
[Journal Article] Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion
- Author(s)
  W.-M.Ni, K.Suzuki, I.Takagi
- Journal Title
  
  Asymptotic Analysis and Singularity, Advanced Studies in Pure Mathematics (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340021
[Presentation] 受体ー配体反応に基づくパターン形成モデルの高次元定常解の存在と安定性2022
- Author(s)
  高木泉
- Organizer
  北海道大学MMCセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K03557
[Presentation] Patterning and spatial heterogeneity2021
- Author(s)
  高木泉
- Organizer
  大連理工大学数学科学研究院線上報告会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03557
[Presentation] Higher dimensional stationary solutions of a receptor-based model for pattern formation in developmental biology2021
- Author(s)
  高木泉
- Organizer
  南開大学陳省身数学研究所線上報告会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03557
[Presentation] Steady States of the FitzHugh-Nagumo equations with non-diffusive activator and diffusive inhibitor2018
- Author(s)
  Izumi Takagi
- Organizer
  The Third Hale Conference on the Dynamics of Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Steady States of the FitzHugh-Nagumo equations with non-diffusive activator and diffusive inhibitor2018
- Author(s)
  Izumi Takagi
- Organizer
  The Third Hale Conference on the Dynamics of Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16KT0128
[Presentation] 分岐点から遠く離れて2017
- Author(s)
  高木　泉
- Organizer
  拡散成分と非拡散成分が共存する反応拡散系がつくるパターン
- Place of Presentation
  東北大学理学研究科
- Year and Date
  2017-02-12
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Patterns generated by FitzHugh-Nagumo equations with nondiffusive activator and diffusive inhibitor2017
- Author(s)
  Izumi Takagi
- Organizer
  Stepping Stone Symposium on Theoretical and Numerical Analysis of PDEs 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Continua of stable discontinuous steady-states in receptor-based models of biological pattern formation2017
- Author(s)
  Izumi Takagi
- Organizer
  Conference on PDEs and Applications to Physical and Biological Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Patterns generated by FitzHugh-Nagumo equations with nondiffusive activator and diffusive inhibitor2017
- Author(s)
  Izumi Takagi
- Organizer
  Stepping Stone Symposium on Theoretical and Numerical Analysis of PDEs 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16KT0128
[Presentation] Pattern formation by FitzHugh-Nagumo equations with non-diffusive activator and diffusive inhibitor2017
- Author(s)
  Izumi Takagi
- Organizer
  International Workshop on Nonlinear Analysis and Reaction-Diffusion Equaations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Control of patterns by way of spatial heterogeneity2017
- Author(s)
  Izumi Takagi
- Organizer
  International workshop on nonlinear elliptic and parabolic PDEs
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Mathematical beauty of the activator-inhibitor system2016
- Author(s)
  Izumi Takagi
- Organizer
  日本数理生物学会2016年会
- Place of Presentation
  九州大学椎木ホール，福岡
- Year and Date
  2016-09-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Locator function for concentration points of singularly perturbed stationary solutions to a reaction-diffusion equation2016
- Author(s)
  Izumi Takagi
- Organizer
  The Second Workshop on Differential Geometry and Differential Equations
- Place of Presentation
  Renmin University of China, 北京, 中国
- Year and Date
  2016-11-14
- Invited
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Pattern formation in homogeneous media vs in heterogeneous media: Cutting and grafting experiments on hydra2016
- Author(s)
  Izumi Takagi
- Organizer
  日本数理生物学会2016年会
- Place of Presentation
  九州大学椎木ホール，福岡
- Year and Date
  2016-09-08
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Patterns generated by a nondiffusive activator and a diffusive inhibitor2016
- Author(s)
  Izumi Takagi
- Organizer
  Mathematics of Pattern Formation
- Place of Presentation
  Mathematical Research and Conference Center in Bedlewo, Poland
- Year and Date
  2016-09-14
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Influence of spatial heterogeneity on a reaction-diffusion-ODE system2016
- Author(s)
  Izumi Takagi
- Organizer
  JSMB 2016 annual meeting
- Place of Presentation
  九州大学
- Year and Date
  2016-09-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] 受容体・結合子反応モデルについての一考察2015
- Author(s)
  高木　泉
- Organizer
  Turing機構に関連するパターンとダイナミクス
- Place of Presentation
  広島大学
- Year and Date
  2015-12-19
- Invited
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] 点凝集現象を起こす反応拡散系のパターンの制御2015
- Author(s)
  高木　泉
- Organizer
  九州関数方程式セミナー
- Place of Presentation
  福岡大学セミナーハウス
- Year and Date
  2015-01-16
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] A remark on the influence of spatial heterogeneity upon the formation of cell aggregates2015
- Author(s)
  Izumi Takagi
- Organizer
  Mini-workshop "Models of directional movement and their analysis"
- Place of Presentation
  東北大学，数理科学記念館
- Year and Date
  2015-03-27
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] 生物の形づくりの数理―Turingが残した課題―2015
- Author(s)
  高木　泉
- Organizer
  日本数学会2015年年会，企画特別講演
- Place of Presentation
  明治大学駿河台キャンパス
- Year and Date
  2015-03-24
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Control of patterns by spatial heterogeneity2014
- Author(s)
  Izumi Takagi
- Organizer
  HeKKSaGOn Summer School in Goettingen Inference on Pattern Formation: Applications to Biology and Materials Science
- Place of Presentation
  Goettingen 大学，ドイツ
- Year and Date
  2014-09-20
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] 空間的不均一性に基づく点凝集パターンの制御2014
- Author(s)
  高木　泉
- Organizer
  岡山駅前セミナー：現象を捉える新しい数学的基盤の構築に向けて
- Place of Presentation
  岡山国際交流センター２階研修室
- Year and Date
  2014-12-13
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Role of spatial heterogeneity in pattern formation2014
- Author(s)
  Izumi Takagi and Hiroko Yamamoto
- Organizer
  Mini-Symposium "Challenges in mathematical modeling of pattern formation in developmental biology" in JSMB/SMB 2014 meeting
- Place of Presentation
  大阪コンベンションセンター
- Year and Date
  2014-07-30
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Movement of boundary spike solutions of a semilinear parabolic equation2014
- Author(s)
  高木泉
- Organizer
  PDE Seminar
- Place of Presentation
  Center for PDE, East China Normal University, Shanghai, China
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Pattern formation without Turing instability2014
- Author(s)
  Izumi Takagi
- Organizer
  Mini-workshop on Modeling, Simulations and Analysis of Pattern Formation
- Place of Presentation
  東北大学，数理科学記念館
- Year and Date
  2014-07-26
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Control of patterns by way of spatial heterogeneity2014
- Author(s)
  Izumi Takagi
- Organizer
  Symposium on Mathematical Approaches to Pattern Formation
- Place of Presentation
  東北大学，数理科学記念館
- Year and Date
  2014-10-30
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Movement of boundary spike solutions of a semilinear parabolic equation2014
- Author(s)
  Izumi Takagi
- Organizer
  PDE Seminar
- Place of Presentation
  Center for PDE, East China Normal University, Shanghai
- Year and Date
  2014-03-20
- Data Source
  KAKENHI-PROJECT-20244009
[Presentation] 空間的不均一性に基づく点凝集パターンの制御2014
- Author(s)
  高木　泉
- Organizer
  岡山駅前セミナー：現象を捉える新しい数学的基盤の構築に向けて
- Place of Presentation
  岡山国際交流センター, 岡山
- Year and Date
  2014-12-13
- Invited
- Data Source
  KAKENHI-PROJECT-26610027
[Presentation] Dynamics of a boundary-spike solution on an invariant manifold to a semilinear parabolic equation2013
- Author(s)
  Izumi Takagi
- Organizer
  Asian Mathematical Conference
- Place of Presentation
  BEXCO,Busan,Korea
- Year and Date
  2013-07-01
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Point-condensation phenomenon in a reaction-diffusion system: geometry of domain vs heterogeneity of media2013
- Author(s)
  Izumi Takagi
- Organizer
  Pacific Rim Conference on Mathematics 2013
- Place of Presentation
  札幌
- Year and Date
  2013-07-03
- Data Source
  KAKENHI-PROJECT-20244009
[Presentation] On the movement of a boundary-spike solution of a semilinear parabolic equation2013
- Author(s)
  Izumi Takagi
- Organizer
  Applied and Computational Mathematics Seminar
- Place of Presentation
  University of California, Irvine,米国
- Year and Date
  2013-03-11
- Data Source
  KAKENHI-PROJECT-21654024
[Presentation] Point-condensation phenomenon in a reaction-diffusion system: geometry of domain vs heterogeneity of media2013
- Author(s)
  高木泉
- Organizer
  Pacifc Rim Conference on Mathematics 2013
- Place of Presentation
  Sapporo, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] On the movement of a boundary-spike solution of a semilinear parabolic equation2013
- Author(s)
  Izumi Takagi
- Organizer
  Applied and Computational Mathematics
- Place of Presentation
  University of California,Irvine,USA
- Year and Date
  2013-03-11
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Dynamics of a boundary-spike solution on an invariant manifold to a semilinear parabolic equation2013
- Author(s)
  高木泉
- Organizer
  Asian Mathematical Conference
- Place of Presentation
  Busan, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Point-condensation for a reaction-diffusion system in heterogeneous media2013
- Author(s)
  Izumi Takagi
- Organizer
  A mini-symposium on pattern formation
- Place of Presentation
  Lorentz Center, Leiden University
- Year and Date
  2013-09-24
- Data Source
  KAKENHI-PROJECT-20244009
[Presentation] Point-condensation phenomenon in a reaction-diffusion system : geometry of domain vs. heterogeneity of media2013
- Author(s)
  Izumi Takagi
- Organizer
  Pacific Rim Conference on Mathematics 2013
- Place of Presentation
  Sapporo Convention Center, 札幌市
- Year and Date
  2013-07-03
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Dynamics of a boundary-spike solution on an invariant manifold to a semilinear parabolic equation2013
- Author(s)
  Izumi Takagi
- Organizer
  Asian Mathematical Conference
- Place of Presentation
  Busan, Korea
- Year and Date
  2013-07-01
- Data Source
  KAKENHI-PROJECT-20244009
[Presentation] Point-condensation phenomenon in a reaction-diffusion system: geometry of domain vs heterogeneity of media2013
- Author(s)
  Izumi Takagi
- Organizer
  Pacific Rim Conference on Mathematics 2013
- Place of Presentation
  Sapporo, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] What Turing anticipated in 1952-一Impacts on mathematics2012
- Author(s)
  Izumi Takagi, Eiji Yanagida
- Organizer
  Turing Symposium on Morphogenesis
- Place of Presentation
  仙台市国際センター, 仙台市
- Year and Date
  2012-08-27
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Introduction to a free boundary problem in crystal growth2011
- Author(s)
  Izumi Takagi
- Organizer
  Complex Analysis Approaches to Free Boundary Problems
- Place of Presentation
  仙台国際センター,宮城県
- Year and Date
  2011-12-13
- Data Source
  KAKENHI-PROJECT-21654024
[Presentation] Collapse of patterns in activator-inhibitor systems2010
- Author(s)
  I.Takagi
- Organizer
  Fourth International Conference on Recent Advances in Applied Dynamical Systems
- Place of Presentation
  浙江師範大学,金華,中国
- Year and Date
  2010-06-19
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] "Where's the peak?":極大点の在処を求めて2010
- Author(s)
  高木泉
- Organizer
  数学の展開…諸分野との連携を探る
- Place of Presentation
  東北大学理学部
- Year and Date
  2010-11-28
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Breakdown of pattern formation in activator-inhibitor systems and unfolding of a singular equilibrium2010
- Author(s)
  Izumi Takagi
- Organizer
  Partial Differential Equations in Mathematical Biology
- Place of Presentation
  Bedlewo Conference Center,ポーランド
- Year and Date
  2010-09-13
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Attractors of an activator-inhibitor system in homogeneous media and an application2010
- Author(s)
  Izumi Takagi
- Organizer
  Dissipative Systems…Attractors and Global Behavior…
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-11-16
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] Pattern formation on surfaces -from a biological point of views2010
- Author(s)
  Izumi Takagi
- Organizer
  The 5th Geometry Conference for Friendship of Japan and China
- Place of Presentation
  Okinawa Institute of Science and Technology, Okinawa
- Year and Date
  2010-01-29
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] On the effect of basic production terms on the dynamics of some activator-inhibitor systems2009
- Author(s)
  Izumi Takagi
- Organizer
  2^<nd> International Conference on Reaction-Diffusion Systems and Viscosity Solutions
- Place of Presentation
  Providence University, Taichung, Taiwan
- Year and Date
  2009-07-15
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] On the effect of basic production terms on the dynamics of some activatorinhibitor systems2009
- Author(s)
  Izumi Takagi
- Organizer
  2nd International Conference on Reaction-Diffusion Sys-tems and Viscosity Solutions
- Place of Presentation
  Providence University,Taichung
- Year and Date
  2009-07-15
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] Movement of planar closed curves driven by bending energy2009
- Author(s)
  Izumi Takagi
- Organizer
  第26回九州における偏微分方程式研究集会
- Place of Presentation
  九州大学箱崎キャンパス国際ホール
- Year and Date
  2009-01-27
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] Movement of planar closed curves by bending energy2008
- Author(s)
  高木泉
- Organizer
  The 4th Geometry Conference for the Friendship of China and Japan
- Place of Presentation
  Chern Institute of Mathematics, Nankai University, Tienjing, China
- Year and Date
  2008-12-23
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] ある種の反応拡散系におけるパターンの崩壊2008
- Author(s)
  高木泉
- Organizer
  2008年日本数学会秋季総合分科会応用数学分科会応用数学分科会
- Place of Presentation
  東京工業大学大岡山キャンパス
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] Movement of planar closed curves by bending energy2008
- Author(s)
  高木泉
- Organizer
  The 4th Geometry Conference for the Friendship of China and Japan, Chern Institute of Mathematics, Nankai University,Tienjing, China
- Year and Date
  2008-12-23
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] Collapse of patterns in some reaction-diffusion systems2008
- Author(s)
  高木泉
- Organizer
  第33回偏微分方程式論札幌シンポジウム
- Place of Presentation
  北海道大学理学部
- Year and Date
  2008-08-28
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] Pattern formation by an activator-inhibitor system in non-uniform environment2006
- Author(s)
  高木泉
- Organizer
  Sixth East Asia PDE Conference, Wuhan University, China
- Year and Date
  2006-05-17
- Data Source
  KAKENHI-PROJECT-18204010
[Presentation] On the movement of a boundary-spike solution of a semilinear parabolic equation
- Author(s)
  Izumi Takagi
- Organizer
  Applied and Computational Mathematics Seminar
- Place of Presentation
  University of California, Irvine, 米国
- Invited
- Data Source
  KAKENHI-PROJECT-21654024
[Presentation] Movement of a solution having a single spike on the boundary of a semilinear parabolic equation
- Author(s)
  高木　泉
- Organizer
  American Mathematical Society Southeastern Section Meeting
- Place of Presentation
  New Orleans, 米国
- Invited
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Effect of the heterogeneity on the concentration point in the ground-state solution of a reaction-diffusion equation
- Author(s)
  H. Yamamoto (代表者), I. Takagi
- Organizer
  American Mathematical Society Southeastern Section Meeting
- Place of Presentation
  New Orleans 米国
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] From metaphors to models, or top-down vs. bottom-up approaches
- Author(s)
  I. Takagi
- Organizer
  2012 Summer School of the HeKKSaGOn Consortium "Crossing Borders: Unraveling Principles of Life with quantitative Tools"
- Place of Presentation
  Heidelberg, 独国
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] A Versatile Pattern Generator---from a Mathematical Point of View---
- Author(s)
  高木　泉
- Organizer
  Advanced Mathematical Sciences D "Pattern Formation: Legacy of Alan Turing"
- Place of Presentation
  川崎
- Invited
- Data Source
  KAKENHI-PROJECT-24654037
[Presentation] Turing's unfinished project
- Author(s)
  Izumi Takagi
- Organizer
  PDE seminar
- Place of Presentation
  Center for Partial Differential Equations, East China Normal University, Shanghai, China
- Year and Date
  2015-03-09 – 2015-03-17
- Invited
- Data Source
  KAKENHI-PROJECT-22244010
[Presentation] What Turing anticipated in 1952--Impacts on mathematics
- Author(s)
  高木　泉，柳田英二
- Organizer
  Turing Symposium on Morphogenesis--Mathematical Approaches Sixty Years after Alan Turing--
- Place of Presentation
  仙台
- Data Source
  KAKENHI-PROJECT-24654037

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TAKAGI Izumi 高木 泉

高木 泉

Research Projects

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Co-Researchers

Behavior of nonstationary solutions to reaction-diffusion systems possessing continua of stationary solutionsPrincipal Investigator

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Fundamental theory of reaction-diffusion equations with variable coefficients---a panorama in Turing's sightPrincipal Investigator

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Review Section

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Physical and mathematical approaches to the deformation of vesicles---from contact to adhesion, fusion and buddingPrincipal Investigator

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Control of patterns by multicomponent reaction-diffusion systems of degenerate typePrincipal Investigator

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Turing's Diffusion-Driven-Instability Revisited-from a view point of global structure of solution setsPrincipal Investigator

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Theory of Differential Equations Applied to Biological Pattern Formation--from Analysis to SynthesisPrincipal Investigator

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Mathematical analysis of dendritic crystal growthPrincipal Investigator

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Qualitative Properties of Solutions of Differential Equations Modeling Biological Pattern FormationPrincipal Investigator

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TAKAGI Izumi 高木泉

高木泉