Fukuda Ikki 福田一貴

Researcher Number	60882214
Other IDs
Affiliation (Current)	2025: 信州大学, 学術研究院工学系, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 信州大学, 学術研究院工学系, 講師 2020 – 2021: 信州大学, 学術研究院工学系, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Keywords	Principal Investigator 高次漸近形 / 解の漸近挙動 / 散逸・分散型方程式 / 一般化ZKB方程式 / Burgers型方程式 / 解の長時間漸近挙動 / 非線形波の方程式 / 散逸-分散型方程式 / 非整数階分散項 / 非局所分散項 … More / 移流拡散方程式 / BBM-Burgers方程式 / ZK-Burgers方程式 / KP-Burgers方程式 / 分散-散逸型方程式 / 空間異方性 / 時間減衰評価の最良性 / 一般化KPB方程式 Less

Asymptotic analysis for partial differential equations of nonlinear waves with dissipation and dispersionPrincipal Investigator
- Principal Investigator
  
  福田一貴
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shinshu University
Asymptotic analysis of Burgers-type equations with spatial anisotropy in higher dimensionsPrincipal Investigator
- Principal Investigator
  
  Fukuda Ikki
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Shinshu University

All 2024 2023 2022 2021 2020

All Journal Article Presentation

[Journal Article] 移流拡散方程式の解の漸近挙動について2024
- Author(s)
  佐藤槙哉, 福田一貴
- Journal Title
  
  北海道大学数学講究録
  
  Volume: 186 Pages: 281-290
- Open Access
- Data Source
  KAKENHI-PROJECT-22K13939
[Journal Article] Higher-order asymptotic profiles of solutions to the Cauchy problem for the convection-diffusion equation with variable diffusion2024
- Author(s)
  Ikki Fukuda, Shinya Sato
- Journal Title
  
  arXiv.2405.00896v1
  
  Volume: 巻号なし Pages: 1-17
- Open Access
- Data Source
  KAKENHI-PROJECT-22K13939
[Journal Article] Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov-Kuznetsov-Burgers equation in 2D2024
- Author(s)
  Ikki Fukuda, Hiroyuki Hirayama
- Journal Title
  
  Nonlinear Analysis: Real World Applications
  
  Volume: 79 Pages: 1-30
- DOI
  10.1016/j.nonrwa.2024.104130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13939
[Journal Article] 三次の非線形項を持つある散逸・分散型方程式の解の高次漸近形2023
- Author(s)
  入野耀太, 福田一貴
- Journal Title
  
  北海道大学数学講究録
  
  Volume: 184 Pages: 307-316
- Open Access
- Data Source
  KAKENHI-PROJECT-22K13939
[Journal Article] Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev-Petviashvili-Burgers equation in 2D2023
- Author(s)
  Ikki Fukuda, Hiroyuki Hirayama
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 未定 Pages: 1-23
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K22303
[Journal Article] Asymptotic profiles of solutions for the generalized Fornberg-Whitham equation with dissipation2023
- Author(s)
  Ikki Fukuda
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 未定 Issue: 1 Pages: 1-30
- DOI
  10.1016/j.jmaa.2023.127427
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13939
[Journal Article] Higher-order asymptotic profiles for solutions to the Cauchy problem for a dispersive-dissipative equation with a cubic nonlinearity2022
- Author(s)
  Ikki Fukuda, Yota Irino
- Journal Title
  
  arXiv.2211.04667v1
  
  Volume: 巻号なし Pages: 1-15
- Open Access
- Data Source
  KAKENHI-PROJECT-22K13939
[Journal Article] Asymptotic analysis for solutions to the generalized Fornberg-Whitham equation with dissipation2022
- Author(s)
  Ikki Fukuda
- Journal Title
  
  Proceedings of the 41st JSST Annual International Conference on Simulation Technology
  
  Volume: 巻号なし Pages: 44-47
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13939
[Journal Article] Large time behavior of solutions to the Cauchy problem for the BBM?Burgers equation2022
- Author(s)
  Fukuda Ikki、Ikeda Masahiro
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 336 Pages: 275-314
- DOI
  10.1016/j.jde.2022.07.020
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K22303
[Journal Article] Higher-order asymptotic profiles of the solutions to the viscous Fornberg-Whitham equation2021
- Author(s)
  Ikki Fukuda, Kenta Itasaka
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 204 Pages: 112200-112200
- DOI
  10.1016/j.na.2020.112200
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K22303
[Journal Article] 粘性Fornberg-Whitham方程式の解の高次漸近形2021
- Author(s)
  板坂健太, 福田一貴
- Journal Title
  
  北海道大学数学講究録
  
  Volume: 180 Pages: 387-396
- Open Access
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov-Kuznetsov-Burgers equation in 2D2024
- Author(s)
  福田一貴
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13939
[Presentation] 一般化Zakharov-Kuznetsov-Burgers方程式の初期値問題の解の長時間挙動と最良な減衰評価について2023
- Author(s)
  福田一貴
- Organizer
  日本数学会2023年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K13939
[Presentation] ある散逸・分散型方程式に対する, 外力による解の漸近挙動の制御について2023
- Author(s)
  福田一貴
- Organizer
  新発田偏微分方程式研究集会
- Data Source
  KAKENHI-PROJECT-22K13939
[Presentation] 一般化Zakharov-Kuznetsov-Burgers方程式の解の長時間挙動2023
- Author(s)
  福田一貴
- Organizer
  松本偏微分方程式研究集会
- Data Source
  KAKENHI-PROJECT-22K13939
[Presentation] 散逸効果を伴う一般化Fornberg-Whitham方程式の解の高次漸近形2023
- Author(s)
  福田一貴
- Organizer
  第116回岐阜数理科学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13939
[Presentation] 一般化Zakharov-Kuznetsov-Burgers方程式の解の漸近挙動について2023
- Author(s)
  福田一貴
- Organizer
  非線型分散型・双曲型偏微分方程式の解の長時間挙動
- Invited
- Data Source
  KAKENHI-PROJECT-22K13939
[Presentation] ある散逸・分散型方程式の解の漸近解析2023
- Author(s)
  福田一貴
- Organizer
  信州若里数理解析研究会
- Data Source
  KAKENHI-PROJECT-22K13939
[Presentation] 一般化KP-Burgers方程式の初期値問題の解の長時間挙動と最良な減衰評価について2023
- Author(s)
  福田一貴, 平山浩之
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] Large time behavior of solutions to the generalized Zakharov-Kuznetsov-Burgers equation in 2D2023
- Author(s)
  福田一貴
- Organizer
  One day workshop on Nonlinear wave equations
- Data Source
  KAKENHI-PROJECT-22K13939
[Presentation] Large time behavior and optimal decay estimate for solutions to the generalized KP-Burgers equation in 2D2022
- Author(s)
  福田一貴
- Organizer
  大阪大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] 粘性Fornberg-Whitham方程式の解の高次漸近形2022
- Author(s)
  福田一貴
- Organizer
  日本数学会2022年度年会（アブストラクト提出）
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] 散逸効果を伴う一般化Fornberg-Whitham方程式の解の漸近解析2022
- Author(s)
  福田一貴
- Organizer
  第11回信州関数解析シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-22K13939
[Presentation] Asymptotic analysis for solutions to the generalized Fornberg-Whitham equation with dissipation2022
- Author(s)
  Ikki Fukuda
- Organizer
  The 41st JSST Annual International Conference on Simulation Technology (JSST2022) -Numerical Harmonic Analysis and Signal Processing-
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13939
[Presentation] 三次の非線形項を持つある散逸・分散型方程式の解の高次漸近形2022
- Author(s)
  福田一貴
- Organizer
  駿河台偏微分方程式研究集会
- Data Source
  KAKENHI-PROJECT-22K13939
[Presentation] Large time behavior and optimal decay estimate for solutions to the generalized KP-Burgers equation in 2D2022
- Author(s)
  福田一貴
- Organizer
  第781回応用解析研究会（早稲田大学）
- Invited
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] Large time behavior and optimal decay estimate for solutions to the generalized KP-Burgers equation in 2D2022
- Author(s)
  福田一貴
- Organizer
  九州関数方程式セミナー（オンライン開催）
- Invited
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] BBM-Burgers方程式の初期値問題の解の漸近挙動2022
- Author(s)
  福田一貴, 池田正弘
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] On the optimal decay estimate for solutions to the generalized KP-Burgers equation in 2D2022
- Author(s)
  福田一貴
- Organizer
  北海道大学偏微分方程式セミナー（オンライン開催）
- Invited
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] Higher-order asymptotic profiles of the solutions to the Burgers equation with a fractional dispersion term2022
- Author(s)
  福田一貴
- Organizer
  第13回名古屋微分方程式研究集会（オンライン開催）
- Invited
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] 高次元におけるBBM－Burgers方程式の解の漸近挙動2021
- Author(s)
  福田一貴
- Organizer
  半田山偏微分方程式研究集会（オンライン開催）
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] 非整数階分散項を伴うBurgers方程式の解の漸近挙動2021
- Author(s)
  福田一貴
- Organizer
  南大阪応用数学セミナー（オンライン開催）
- Invited
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] Effect of a fractional dispersion term on the asymptotic behavior of the solutions to the Burgers type equations2021
- Author(s)
  Ikki Fukuda
- Organizer
  The 22th Northeastern Symposium on Mathematical Analysis (Online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] 非整数階分散項を伴うBurgers方程式の解の漸近挙動2021
- Author(s)
  福田一貴
- Organizer
  大同大学第2回若手微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] Higher-order asymptotic profiles of the solutions to the viscous Fornberg-Whitham equation2020
- Author(s)
  福田一貴
- Organizer
  第168回神楽坂解析セミナー（オンライン開催）
- Invited
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] Asymptotic behavior of solutions to the damped wave equation with a nonlinear convection term2020
- Author(s)
  Ikki Fukuda
- Organizer
  Nonlinear Wave Seminar (Online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22303
[Presentation] 粘性Fornberg-Whitham方程式の解の高次漸近形2020
- Author(s)
  福田一貴
- Organizer
  京都大学NLPDEセミナー（オンライン開催）
- Invited
- Data Source
  KAKENHI-PROJECT-20K22303

1. 池田正弘

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Fukuda Ikki 福田 一貴

Research Projects

Research Products

Co-Researchers

Asymptotic analysis for partial differential equations of nonlinear waves with dissipation and dispersionPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Asymptotic analysis of Burgers-type equations with spatial anisotropy in higher dimensionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] 移流拡散方程式の解の漸近挙動について2024

Author(s)

Journal Title

Data Source

[Journal Article] Higher-order asymptotic profiles of solutions to the Cauchy problem for the convection-diffusion equation with variable diffusion2024

Author(s)

Journal Title

Data Source

[Journal Article] Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov-Kuznetsov-Burgers equation in 2D2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] 三次の非線形項を持つある散逸・分散型方程式の解の高次漸近形2023

Author(s)

Journal Title

Data Source

[Journal Article] Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev-Petviashvili-Burgers equation in 2D2023

Author(s)

Journal Title

Data Source

[Journal Article] Asymptotic profiles of solutions for the generalized Fornberg-Whitham equation with dissipation2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Higher-order asymptotic profiles for solutions to the Cauchy problem for a dispersive-dissipative equation with a cubic nonlinearity2022

Author(s)

Journal Title

Data Source

[Journal Article] Asymptotic analysis for solutions to the generalized Fornberg-Whitham equation with dissipation2022

Author(s)

Journal Title

Data Source

[Journal Article] Large time behavior of solutions to the Cauchy problem for the BBM?Burgers equation2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Higher-order asymptotic profiles of the solutions to the viscous Fornberg-Whitham equation2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] 粘性Fornberg-Whitham方程式の解の高次漸近形2021

Author(s)

Journal Title

Data Source

[Presentation] Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov-Kuznetsov-Burgers equation in 2D2024

Author(s)

Organizer

Data Source

[Presentation] 一般化Zakharov-Kuznetsov-Burgers方程式の初期値問題の解の長時間挙動と最良な減衰評価について2023

Author(s)

Organizer

Data Source

[Presentation] ある散逸・分散型方程式に対する, 外力による解の漸近挙動の制御について2023

Author(s)

Organizer

Data Source

[Presentation] 一般化Zakharov-Kuznetsov-Burgers方程式の解の長時間挙動2023

Author(s)

Organizer

Data Source

Fukuda Ikki 福田一貴