Koike Kai 小池開

… Alternative Names

小池開コイケカイ

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Researcher Number	30914551
Other IDs
Affiliation (Current)	2025: 東京科学大学, 理学院, 助教
Affiliation (based on the past Project Information) *help	2025: 東京科学大学, 理学院, 助教 2022 – 2023: 東京工業大学, 理学院, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related Except Principal Investigator Basic Section 13040:Biophysics, chemical physics and soft matter physics-related
Keywords	Principal Investigator Boltzmann方程式 / 長時間挙動 / 圧縮性Navier－Stokes方程式 / 制御理論 / 分子気体流 / 流体構造連成問題 / 分子気体力学 / Green関数の各点評価 Except Principal Investigator マルチスケール / 運動論 / 微生物 / 自己組織化

分子気体流中を運動する物体の長時間挙動と制御可能性の解明Principal Investigator
- Principal Investigator
  
  小池開
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Institute of Science Tokyo
Effect of non-instantaneous interactions on the self-organized behaviors of microbes
- Principal Investigator
  
  安田修悟
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 13040:Biophysics, chemical physics and soft matter physics-related
- Research Institution
  University of Hyogo
分子気体力学にもとづく流体構造連成問題の数学解析Principal Investigator
- Principal Investigator
  
  小池開
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo Institute of Technology

All 2024 2023 2022

All Journal Article Presentation

[Journal Article] Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow2023
- Author(s)
  Kai Koike
- Journal Title
  
  Archive for Rational Mechanics and Analysis
  
  Volume: 247 Issue: 5
- DOI
  10.1007/s00205-023-01914-4
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K13938
[Journal Article] Refined Pointwise Estimates for Solutions to the 1D Barotropic Compressible Navier?Stokes Equations: An Application to the Long-Time Behavior of a Point Mass2022
- Author(s)
  Koike Kai
- Journal Title
  
  Journal of Mathematical Fluid Mechanics
  
  Volume: 24 Issue: 4
- DOI
  10.1007/s00021-022-00732-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13938
[Journal Article] Long-time behavior of several point particles in a 1D viscous compressible fluid2022
- Author(s)
  Koike Kai
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 22 Issue: 3
- DOI
  10.1007/s00028-022-00820-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Long-time behavior of a harmonic oscillator in a 1D viscous compressible fluid2024
- Author(s)
  Kai Koike
- Organizer
  S\'{e}minaire d'analyse
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Long-time behavior of a harmonic oscillator in a 1D viscous compressible fluid2024
- Author(s)
  Kai Koike
- Organizer
  PDE Week: Kinetic and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Long-time behavior of a harmonic oscillator in a 1D viscous compressible fluid2024
- Author(s)
  Kai Koike
- Organizer
  S\'{e}minaire de Physique Mathématique - EDP
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] 1次元圧縮性粘性流に対する各点漸近展開：質点の長時間挙動への応用2023
- Author(s)
  小池開
- Organizer
  微分方程式の総合的研究
- Invited
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Space-Time Pointwise asymptotic expansion for 1D viscous compressible flow2023
- Author(s)
  小池開
- Organizer
  非線形解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] 1次元圧縮性Navier－Stokes方程式の解の時空間各点評価付き漸近展開2023
- Author(s)
  小池開
- Organizer
  2023年度日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Time-asymptotic expansion with pointwise remainder estimates for 1D viscous compressible flow2023
- Author(s)
  Kai Koike
- Organizer
  The 40th Kyushu Symposium on Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Time-asymptotic expansion with pointwise remainder estimates for 1D viscous compressible flow2023
- Author(s)
  Kai Koike
- Organizer
  Shanghai Jiao Tong University Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] 流体構造連成系の長時間挙動の数学解析2023
- Author(s)
  小池開
- Organizer
  第3回数理解析若手交流会
- Invited
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Long-time behavior of a pendulum in a 1D viscous compressible fluid2023
- Author(s)
  Kai Koike
- Organizer
  RIMS Workshop on Mathematical Analysis of Viscous Incompressible Fluid
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Time-asymptotic expansion with pointwise remainder estimates for 1D viscous compressible flow2023
- Author(s)
  Kai Koike
- Organizer
  ICIAM2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] 1次元圧縮性Navier－Stokes方程式の解の長時間挙動：各点評価付きの漸近展開2022
- Author(s)
  小池開
- Organizer
  応用解析研究回（早稲田大学）
- Invited
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Time-asymptotic expansion with pointwise error bound for 1D viscous compressible flow2022
- Author(s)
  Kai Koike
- Organizer
  The Eighth Japan-China Workshop on Mathematical Topics from Fluid Mechanics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Pointwise time-asymptotic expansion of solutions to 1D compressible Navier－Stokes equations2022
- Author(s)
  小池開
- Organizer
  非線形の諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Long-time asymptotic expansion with pointwise error bounds for solutions to the 1D barotropic Navier－Stokes equations2022
- Author(s)
  Kai Koike
- Organizer
  RIMS Workshop: Mathematical Analysis in Fluid and Gas Dynamics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13938
[Presentation] Long-time asymptotic expansion with pointwise error bounds for solutions to the 1D compressible Navier－Stokes equations2022
- Author(s)
  Kai Koike
- Organizer
  偏微分方程式の臨界現象と正則性理論及び漸近解析（京都大学数理解析研究所）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13938

1. 安田修悟 (70456797)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Koike Kai 小池 開

小池 開 コイケ カイ

Research Projects

Research Products

Co-Researchers

分子気体流中を運動する物体の長時間挙動と制御可能性の解明Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Effect of non-instantaneous interactions on the self-organized behaviors of microbes

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

分子気体力学にもとづく流体構造連成問題の数学解析Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Refined Pointwise Estimates for Solutions to the 1D Barotropic Compressible Navier?Stokes Equations: An Application to the Long-Time Behavior of a Point Mass2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Long-time behavior of several point particles in a 1D viscous compressible fluid2022

Author(s)

Journal Title

DOI

Data Source

[Presentation] Long-time behavior of a harmonic oscillator in a 1D viscous compressible fluid2024

Author(s)

Organizer

Data Source

[Presentation] Long-time behavior of a harmonic oscillator in a 1D viscous compressible fluid2024

Author(s)

Organizer

Data Source

[Presentation] Long-time behavior of a harmonic oscillator in a 1D viscous compressible fluid2024

Author(s)

Organizer

Data Source

[Presentation] 1次元圧縮性粘性流に対する各点漸近展開：質点の長時間挙動への応用2023

Author(s)

Organizer

Data Source

[Presentation] Space-Time Pointwise asymptotic expansion for 1D viscous compressible flow2023

Author(s)

Organizer

Data Source

[Presentation] 1次元圧縮性Navier－Stokes方程式の解の時空間各点評価付き漸近展開2023

Author(s)

Organizer

Data Source

[Presentation] Time-asymptotic expansion with pointwise remainder estimates for 1D viscous compressible flow2023

Author(s)

Organizer

Data Source

[Presentation] Time-asymptotic expansion with pointwise remainder estimates for 1D viscous compressible flow2023

Author(s)

Organizer

Data Source

[Presentation] 流体構造連成系の長時間挙動の数学解析2023

Author(s)

Organizer

Data Source

[Presentation] Long-time behavior of a pendulum in a 1D viscous compressible fluid2023

Author(s)

Organizer

Data Source

[Presentation] Time-asymptotic expansion with pointwise remainder estimates for 1D viscous compressible flow2023

Author(s)

Koike Kai 小池開

小池開コイケカイ