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WATANABE Kiyoshi
渡辺 清
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Alternative Names
渡邊 清 ワタナベ キヨシ
渡辺 清 ワタナベ キヨシ
渡邉 清 ワタナベ キヨシ
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Researcher Number
60091245
Other IDs
Affiliation (based on the past Project Information)
*help
1998 – 2006: 神戸大学, 理学部, 助教授
1997: 神戸大学, 理学部, 助手
1992 – 1996: 神戸大学, 理学部, 助教授
1987 – 1989: 神戸大学, 教養部, 助教授
Review Section/Research Field
Principal Investigator
解析学
/
Geometry
/
Global analysis
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics)
/
解析学
/
Basic analysis
/
代数学・幾何学
/
Geometry
/
General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
heat kernel / コホモロジー群 / Stein 多様性 / クザン-I 問題 / クザン-II 問題 / スタイン多様体 / 層係数のコホモロジー群 / グラスマン多様体 / 複素リー群 / そのリー環が純整元をもつ複素線型リー群
…
More
/ 正則写像の芽の層 / ケーラー多様体 / 平均曲率 / 無限遠境界 / 熱核 / モース指数 / ヴェンテトーラス / 極小曲面 / ドローネ曲面 / ガウス写像 / ウエンテ・トーラス / 平均曲率一定 / モジュラー群 / ロンスキャン / CMC超曲面 / Morse指数 / スピナ表現 / 双曲空間 / Weierstrass表現公式 / Gauss写像 / Met、多様体 / constant mean curvature / ends / Morse Index / Wente tori / minimal surface / Delaumay surface / Gauss map / 非圧縮流体 / 非定常ナビエ・ストークス方程式 / 初期値問題 / 非定常流 / 速度場の減衰率 / ダランベールの逆理 / 粘性流体 / 自己相似解 / 非圧縮流体の方程式 / 初期値境界値問題 / 安定性 / 漸近挙動 / 渦輪 / 結び目 / 特異摂動 / incompressible fluids / d'Alembert's paradox / viscous fluids / asymptotic behavior / decay rates / ideal fluids / Navier-Stokes flows
…
More
Except Principal Investigator
パーコレーション / イジングモデル / Ising model / Glauber dynamics / spectral gap / reinforced random walk / percolation / 中心極限定理 / 単体的複体 / コ-エン・マッコ-レイ複体 / コホモロジ-群の計算 / 数式処理 / マジョライゼーション / 確率不等式 / 超平面上の分布 / κ標本問題 / 同質性の検定 / 順位検定 / 漸近分布 / 頑健性 / 非線形楕円型方程式 / 粘性解 / p-Laplace方程式 / 超幾何方程式 / 結び目 / 不変量 / 幾何構造 / 完全解析性 / 指数的減少 / 離散的パンルヴェ方程式 / 定義多様体 / 連続極限 / パンルヴェ性 / 葉層構造の一様性 / 初期値空間 / symplectic構造 / パンルヴェ補助関数 / 極小集合 / 同程度連続 / 固有値 / 概周期関数 / 正規 / 一様安定 / 回帰的関数 / グラウバーダイナミックス / スペクトルギャップ / 臨界点 / コンツゥアーの収縮 / 自己補強的ランダムウォーク / コントゥアーの収縮 / First passage percolation / fluctuation / コントゥアー / 境界条件 / 再帰性 / 向きつきパーコレーション / 相関不等式 / critical point / shrink of contours / 非圧縮流体の運動方程式 / 初期値境界値問題 / 安定性 / 漸近挙動 / 極限定理 / スペクトル解析 / Navier-Stokes方程式 / 初期値問題 / 作用素半群 / 作用素の分数べき / Navier-Stokes 方程式 / 半群 / 観測可能量 / Navier-Stokes equations / Initial-boundary value problem / Stability / Asymptotic behavior / Limit theorems / Spectral analysis / 相境界 / 条件つき極限定理 / Widom-Rowlinsonモデル / シルピンスキーカーペット格子 / 鋭い相転移 / Percolation / フラクタルグラフ / シルピンスキーカーペットグラフ / 相転移 / シェルピンスキーカーペット格子 / 相の共存 / 自由エネルギーの解析性 / スピン系 / Pirogov-Sinaiの定理 / Dobrushin-Hrynivの定理 / 2次元Widom-Rowlinson model / 相共存 / Gibbs分布 / central limit theorem / phase boundary / conditional limit theorem / Widom-Rowlinson model / Sierpinski carpet lattice / sharp transition
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Research Projects
(
14
results)
Co-Researchers
(
31
People)
Project Start Year (Newest)
Project Start Year (Oldest)
Research of fluctuations of phase boundaries in large interacting systems from the probabilistic point of view
Principal Investigator
HIGUCHI Yasunari
Project Period (FY)
2003 – 2006
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Kobe University
Study of the stability of motions of incompressible fluids and the well-posedness of equations that govern their flow
Principal Investigator
Principal Investigator
WATANABE Kiyoshi,
宮川 鉄朗
Project Period (FY)
2001 – 2003
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
Global analysis
Research Institution
Kobe University
Morse index and heat kernel of constant mean curvature surfaces
Principal Investigator
Principal Investigator
WATANABE Kiyoshi
Project Period (FY)
1999 – 2001
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Kobe University
非線形差分系の実験的・理論的研究
Principal Investigator
高野 恭一
Project Period (FY)
1998
Research Category
Grant-in-Aid for Exploratory Research
Research Field
Basic analysis
Research Institution
Kobe University
Functional-analytic study on incompressible viscous fluid flows
Principal Investigator
MIYAKAWA Tetsuro
Project Period (FY)
1998 – 2000
Research Category
Grant-in-Aid for Scientific Research (B).
Research Field
Basic analysis
Research Institution
KOBE UNIVERSITY
Analysis of Critical Phenomena in Random Systems
Principal Investigator
HIGUCHI Yasunari
Project Period (FY)
1997 – 1999
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Kobe University
q完備空間の特徴付けについての研究
Principal Investigator
Principal Investigator
渡邊 清
Project Period (FY)
1996
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
解析学
Research Institution
Kobe University
ランダム系の構造の解析と極限定理の研究
Principal Investigator
HIGUCHI Yasunari
Project Period (FY)
1995
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Kobe University
結び目の幾何
Principal Investigator
NAKANISHI Yasutaka
Project Period (FY)
1994
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Geometry
Research Institution
Kobe University
非線形現象に現れる微分方程式の解の構造の研究
Principal Investigator
相澤 貞一
Project Period (FY)
1993
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Kobe University
κ標本問題に対するMajorization不等式とその応用
Principal Investigator
垣内 逸郎
Project Period (FY)
1992
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Kobe University
ホモロジ-代数による局所環の研究
Principal Investigator
竹内 康滋
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Kobe University
クザン領域に関する研究
Principal Investigator
Principal Investigator
渡邊 清
Project Period (FY)
1988
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Kobe University
概周期的な解の研究と力学系
Principal Investigator
江川 治朗
Project Period (FY)
1987
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Kobe University
# of Projects (Dsc)
# of Projects (Asc)
1.
木村 郁雄
(80031293)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
2.
HIGUCHI Yasunari
(60112075)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
3.
MIYAKAWA Tetsuro
(10033929)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
4.
竹内 康滋
(80030336)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
5.
江川 治朗
(50031117)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
6.
TAKANO Kyoichi
(10011678)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
7.
NAKANISHI Yasutaka
(70183514)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
8.
池田 裕司
(10031353)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
9.
FUKUYAMA Katusi
(60218956)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
10.
ADACHI Tadayoshi
(30281158)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
11.
高橋 典大
(00031295)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
12.
角田 譲
(50031365)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
13.
宇麼谷 教明
(30031305)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
14.
河野 正晴
(40170203)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
15.
相澤 貞一
(20030760)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
16.
名倉 利信
(50116232)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
17.
中村 昌稔
(80031102)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
18.
YOSHIDA Nobuo
(40240303)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
19.
ROSSMAN Wayne
(50284485)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
20.
垣内 逸郎
(90091248)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
21.
山崎 正
(30011696)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
22.
佐々木 武
(00022682)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
23.
壁谷 喜継
(70252757)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
24.
柳川 高明
(00031310)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
25.
野海 正俊
(80164672)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
26.
KONNO Norio
(80205575)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
27.
HISHIDA Toshiaki
(60257243)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
28.
YAMADA Koutaro
(10221657)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
29.
NORO Masayuki
(50332755)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
30.
福本 康秀
(30192727)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
31.
MURAI Joshin
(00294447)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
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