USHIKOSHI Erika 牛越惠理佳

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Ushikoshi Erika 牛越惠理佳

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Researcher Number	20714041
Other IDs
Affiliation (Current)	2025: 横浜国立大学, 大学院環境情報研究院, 准教授
Affiliation (based on the past Project Information) *help	2020 – 2023: 横浜国立大学, 大学院環境情報研究院, 准教授 2016 – 2019: 横浜国立大学, 大学院環境情報研究院, 講師 2013 – 2015: 玉川大学, 工学部, 助教 2014: 玉川大学, 工学部, 助手
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis
Keywords	Principal Investigator ストークス方程式 / アダマール変分公式 / 領域摂動 / 固有値 / ナビエ・ストークス方程式 / Helmholtz-Weyl分解 / Navier-Stokes方程式 / 固有値問題 / ラメの方程式 / 非定常ストークス方程式 … More / 特異摂動 / Green関数 / Stokes方程式 / Hadamard変分公式 / NP作用素 / スリップ境界条件 Less

領域摂動に伴う流体力学の基礎方程式の解の漸近挙動の解析Principal Investigator
- Principal Investigator
  
  牛越惠理佳
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Yokohama National University
Mathematical analysis of problems rerated to the incompressible viscous fluid under the domain perturbationPrincipal Investigator
- Principal Investigator
  
  Ushikoshi Erika
- Project Period (FY)
  2018 – 2023
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Yokohama National University
Domain perturbation problem for the Stokes equations and its applicationPrincipal Investigator
- Principal Investigator
  
  Ushikoshi Erika
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Yokohama National University
  Tamagawa University
流体力学の基礎方程式に関する領域摂動問題Principal Investigator
- Principal Investigator
  
  牛越惠理佳
- Project Period (FY)
  2013 – 2014
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Mathematical analysis
- Research Institution
  Tamagawa University

All 2024 2023 2022 2021 2019 2018 2017 2016 2015 2014 2013 Other

All Journal Article Presentation Book

[Book] 微分積分学概論2022
- Author(s)
  茨木貴徳・牛越惠理佳・竹居正登・原下秀士
- Total Pages
  246
- Publisher
  培風館
- ISBN
  9784563012397
- Data Source
  KAKENHI-PROJECT-18K13439
[Journal Article] Removability of time-dependent singularities of solutions to the Navier-Stokes equations2024
- Author(s)
  Kozono Hideo、Ushikoshi Erika、Wakabayashi Fumitaka
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 388 Pages: 59-81
- DOI
  10.1016/j.jde.2023.12.034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03370
[Journal Article] Removable time-dependent singularities of solutions to the Stokes equations2023
- Author(s)
  Kozono, Hideo and Ushikoshi, Erika and Wakabayashi, Fumitaka
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 342 Pages: 472-489
- DOI
  10.1016/j.jde.2022.10.005
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13439, KAKENHI-PROJECT-21J14366, KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-21H04433
[Journal Article] Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape2022
- Author(s)
  Jimbo Shuichi、Ushikoshi Erika、Yoshihara Hiromasa
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 62 Issue: 1 Pages: 1-30
- DOI
  10.1007/s00526-022-02325-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13439, KAKENHI-PROJECT-18H01139, KAKENHI-PROJECT-23K03159, KAKENHI-PROJECT-19K03576
[Journal Article] The First Hadamard Variation of Neumann-Poincare eigenvalues on the sphere2019
- Author(s)
  Kazunori Ando, Yoshihisa Miyanishi, Hyeonbae Kang and Erika Ushikoshi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 147 Issue: 3 Pages: 1073-1080
- DOI
  10.1090/proc/14246
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05303, KAKENHI-PROJECT-18K13439, KAKENHI-PROJECT-19K14553
[Journal Article] Hadamard variational formula for eigenvalues of the Stokes equations and its application2017
- Author(s)
  Shuichi Jimbo, Hideo Kozono, Yoshiaki Teramoto, Erika Ushikoshi
- Journal Title
  
  Mathematische Annalen
  
  Volume: 印刷中 Issue: 1-2 Pages: 877-884
- DOI
  10.1007/s00208-016-1410-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800073, KAKENHI-PROJECT-16H06339
[Journal Article] Hadamard variational formula for the multiple eigenvalues of the Stokes operator with the Dirichlet boundary conditions2015
- Author(s)
  S.Jimbo, E. Ushikoshi
- Journal Title
  
  Far East J. Math. Sci.
  
  Volume: 98
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800073
[Journal Article] Hadamard variational formula for the Green function for the velocity and pressure of the Stokes equations2013
- Author(s)
  Erika Ushikoshi
- Journal Title
  
  Indiana Univ. Math. J.
  
  Volume: 62 Pages: 1315-1379
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25887045
[Presentation] 時間依存領域における大きな境界値に対するナビエ・ストークス方程式の時間周期解の存在について2023
- Author(s)
  牛越惠理佳
- Organizer
  金沢解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] 時間依存領域における大きな境界値に対するナビエ・ストークス方程式の時間周期解の存在について2023
- Author(s)
  牛越惠理佳
- Organizer
  微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K03370
[Presentation] Periodic solutions of the Navier-Stokes equations for large flux on a time dependent domain2023
- Author(s)
  牛越惠理佳
- Organizer
  Mini-Symposium on Nonlinear PDEs and Their Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape2023
- Author(s)
  牛越惠理佳
- Organizer
  愛媛大学数学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] 時間依存領域における大きな境界値に対するナビエ・ストークス方程式の時間周期解の存在について2023
- Author(s)
  牛越惠理佳
- Organizer
  第19回非線型の諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] 極端なアスペクト比を伴う断面をもつ細い弾性体に関する固有値問題2022
- Author(s)
  牛越惠理佳
- Organizer
  第11回室蘭非線形解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] Hadamard variational formula for the fundamental solution of the non stationary Stokes equations2022
- Author(s)
  牛越惠理佳
- Organizer
  自由境界問題に対する反復法の理論的および数値解析的研究
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] 極端なアスペクト比を伴う断面をもつ細い弾性体に関する固有値問題2022
- Author(s)
  牛越惠理佳
- Organizer
  日本応用数理学会2022年度年会
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] 極端なアスペクト比を伴う断面をもつ細い弾性体に関する固有値問題2021
- Author(s)
  牛越惠理佳
- Organizer
  微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] 極端なアスペクト比を伴う断面をもつ細い弾性体に関する固有値問題2021
- Author(s)
  牛越惠理佳
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] Hadamard variational formula for the fundamental solution of the non stationary Stokes equations2021
- Author(s)
  Erika Ushikoshi
- Organizer
  RIMS共同研究「非圧縮性粘性流体の数理解析」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] ストークス方程式の領域摂動問題について2019
- Author(s)
  牛越惠理佳
- Organizer
  自由境界問題に対する反復法の理論的および数値解析的研究
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] Hadamard variational formula for the multiple eigenvalues of the Stokes equations with friction slip boundary conditions2019
- Author(s)
  Erika Ushikoshi
- Organizer
  Waseda Workshop on Partial Differential Equations 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] Hadamard vairational formula for the Stokes equations with friction slip boundary conditions2019
- Author(s)
  Erika Ushikoshi
- Organizer
  若手による流体力学の基礎方程式の研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] On the Hadamard's formula of the Stokes equations2018
- Author(s)
  牛越惠理佳
- Organizer
  第15回日独流体数学国際研究集会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for the multiple eigenvalue of the Stokes equations with slip boundary conditions2018
- Author(s)
  Erika Ushikoshi
- Organizer
  波動・振動・流れの制御と逆問題 -理論と数値計算-
- Invited
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] Hadamard variational formula for the multiple eigenvalue of the Stokes equations with friction slip boundary conditions2018
- Author(s)
  Erika Ushikoshi
- Organizer
  2018年度明治非線型数理セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] Hadamard variational formula for the multiple eigenvalue of the Stokes equations with friction slip boundary conditions2018
- Author(s)
  Erika Ushikoshi
- Organizer
  Workshop on the Navier-Stokes flow
- Invited
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] フリクション付きスリップ境界条件を課したストークス方程式の多重度のある固有値に対するアダマール変分公式について2018
- Author(s)
  牛越惠理佳
- Organizer
  自由境界問題に対する反復法の理論的および数値解析的研究
- Data Source
  KAKENHI-PROJECT-18K13439
[Presentation] Hadamard variational formula for the eigenvalue of the Stokes equations with the slip boundary condition2018
- Author(s)
  牛越惠理佳
- Organizer
  Hirosaki Workshop for Mathematical Fluid Mechanics 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for the eigenvalues of the Stokes equations and its application2017
- Author(s)
  牛越惠理佳
- Organizer
  The 5th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for the eigenvalues of the Stokes equations and its application2017
- Author(s)
  牛越惠理佳
- Organizer
  Vorticity, Rotation and Symmetry (IV)-Complex Fluids and Issue of Regularity
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] ストークス方程式の固有値に対するアダマール変分公式とその応用2017
- Author(s)
  牛越惠理佳
- Organizer
  第8回大阪駅前セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for the eigenvalues of the Stokes equations and its applicaiton2016
- Author(s)
  牛越惠理佳
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  筑波大学(茨城県・つくば市)
- Year and Date
  2016-03-18
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] ストークス方程式の固有値に対するアダマール変分公式とその応用について2016
- Author(s)
  牛越惠理佳
- Organizer
  応用解析研究会
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Stokes方程式の固有値に対するアダマール変分公式とその応用2016
- Author(s)
  牛越惠理佳
- Organizer
  Seminar on Nonlinear Analysis at O-okayama
- Place of Presentation
  東京工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] ストークス方程式の固有値に対するアダマール変分公式とその応用2016
- Author(s)
  牛越惠理佳
- Organizer
  第46回金沢解析セミナー
- Place of Presentation
  金沢大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] ストークス方程式に対するアダマール変分公式とその応用2016
- Author(s)
  牛越惠理佳
- Organizer
  第8回福島応用数学研究集会
- Place of Presentation
  コラッセ福島(福島県・福島市)
- Year and Date
  2016-03-11
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] ストークス方程式に対するアダマール変分公式とその応用2016
- Author(s)
  牛越惠理佳
- Organizer
  第５回岐阜数理科学研究会
- Place of Presentation
  飛騨高山まちの博物館
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] ストークス方程式の固有値に対するアダマール変分公式とその応用2016
- Author(s)
  牛越惠理佳
- Organizer
  三大学偏微分方程式セミナー
- Place of Presentation
  中央大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] ストークス方程式に対するアダマール変分公式とその応用について2016
- Author(s)
  牛越惠理佳
- Organizer
  横浜国立大学における微分方程式セミナー
- Place of Presentation
  横浜国立大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for the eigenvalue of the Stokes equations and its application2016
- Author(s)
  牛越惠理佳
- Organizer
  Toya workshop
- Place of Presentation
  Crystal Hall, Hotel Toya Sun Palace
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] ディリクレ境界条件を課したラプラス方程式のグリーン関数に対する高次アダマール変分公式について2015
- Author(s)
  牛越惠理佳
- Organizer
  日本数学会2015年秋季総合分科会
- Place of Presentation
  京都産業大学(京都府・京都市)
- Year and Date
  2015-09-14
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for eigenvalues of the Stokes equations and its application2015
- Author(s)
  牛越惠理佳
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  東京大学(東京都・目黒区)
- Year and Date
  2015-12-20
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for the multipleeigenvalue of the Stokes operator with the Dirichlet boundary conditions2015
- Author(s)
  牛越惠理佳
- Organizer
  環瀬戸内ワークショップ
- Place of Presentation
  愛媛大学(愛媛県)
- Year and Date
  2015-02-20
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] ディリクレ境界条件を課したラプラス方程式のグリーン関数に対する高次アダマール変分公式2015
- Author(s)
  牛越惠理佳
- Organizer
  第20回さいたま数理解析セミナー
- Place of Presentation
  埼玉大学サテライトキャンパス(埼玉県・さいたま市)
- Year and Date
  2015-11-28
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] The application of the Hadamard variational formula for the Stokes equations2015
- Author(s)
  牛越惠理佳
- Organizer
  International Conference, SPP 1506 Transport Processes at Fluidic Interfaces, IRTG 1529 Mathematical Fluid Dynamics, JSPS Program of the Japanese-German Graduate Externship
- Place of Presentation
  ダルムシュタット工科大学(ドイツ・ダルムシュタット)
- Year and Date
  2015-10-08
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for the eigenvalue of the Stokes equations2014
- Author(s)
  Erika Ushikoshi
- Organizer
  Autumn School and Workshop on Mathematical Fluid Dynamics
- Place of Presentation
  Bad Boll(ドイツ)
- Year and Date
  2014-10-28
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for the eigenvalue of the Stokes equations with the Dirichlet boundary conditions2014
- Author(s)
  牛越惠理佳
- Organizer
  偏微分方程式セミナー
- Place of Presentation
  北海道大学(北海道)
- Year and Date
  2014-11-10
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for the eigenvalue of the Stokes equations with the Dirichlet boundary conditions2014
- Author(s)
  牛越惠理佳
- Organizer
  第１２８回神楽坂解析セミナー
- Place of Presentation
  東京理科大学(東京都)
- Year and Date
  2014-10-25
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] ストークス作用素の固有値に対するアダマール変分公式について2014
- Author(s)
  牛越惠理佳
- Organizer
  日本数学会2014年秋季総合分科会
- Place of Presentation
  広島大学(広島県)
- Year and Date
  2014-09-27
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for the Green function of the Stokes equations2014
- Author(s)
  牛越惠理佳
- Organizer
  第39回偏微分方程式論札幌シンポジウム
- Place of Presentation
  北海道大学(北海道)
- Year and Date
  2014-08-25
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] Hadamard variational formula for the Stokes equations2014
- Author(s)
  牛越惠理佳
- Organizer
  RIMS研究集会「偏微分方程式の解の形状と諸性質」
- Place of Presentation
  京都大学数理解析研究所(京都府)
- Year and Date
  2014-11-06
- Invited
- Data Source
  KAKENHI-PROJECT-26800073
[Presentation] New approach to the Hadamard variational formula for the Green function of the Stokes equations
- Author(s)
  牛越惠理佳
- Organizer
  若手による流体力学の基礎方程式研究集会
- Place of Presentation
  名古屋大学(名古屋市)
- Invited
- Data Source
  KAKENHI-PROJECT-25887045
[Presentation] New approach to the Hadamard variational formula for the Green function of the Stokes equations
- Author(s)
  牛越惠理佳
- Organizer
  Winter Seminar and Klausurtagung “Fluids and Snow”
- Place of Presentation
  France(La Clusaz)
- Invited
- Data Source
  KAKENHI-PROJECT-25887045
[Presentation] New approach to the Hadamard variational formula for the Green function of the Stokes equations
- Author(s)
  牛越惠理佳
- Organizer
  日本数学会2014年度年会
- Place of Presentation
  学習院大学(東京都豊島区)
- Data Source
  KAKENHI-PROJECT-25887045

1. 安藤和典

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

USHIKOSHI Erika 牛越 惠理佳

Ushikoshi Erika 牛越 惠理佳

Research Projects

Research Products

Co-Researchers

領域摂動に伴う流体力学の基礎方程式の解の漸近挙動の解析Principal Investigator

Principal Investigator

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Research Category

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Research Institution

Mathematical analysis of problems rerated to the incompressible viscous fluid under the domain perturbationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Domain perturbation problem for the Stokes equations and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

流体力学の基礎方程式に関する領域摂動問題Principal Investigator

Principal Investigator

Project Period (FY)

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Research Institution

[Book] 微分積分学概論2022

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Journal Article] Removability of time-dependent singularities of solutions to the Navier-Stokes equations2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Removable time-dependent singularities of solutions to the Stokes equations2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The First Hadamard Variation of Neumann-Poincare eigenvalues on the sphere2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Hadamard variational formula for eigenvalues of the Stokes equations and its application2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Hadamard variational formula for the multiple eigenvalues of the Stokes operator with the Dirichlet boundary conditions2015

Author(s)

Journal Title

Data Source

[Journal Article] Hadamard variational formula for the Green function for the velocity and pressure of the Stokes equations2013

Author(s)

Journal Title

Data Source

[Presentation] 時間依存領域における大きな境界値に対するナビエ・ストークス方程式の時間周期解の存在について2023

Author(s)

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[Presentation] 時間依存領域における大きな境界値に対するナビエ・ストークス方程式の時間周期解の存在について2023

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[Presentation] Periodic solutions of the Navier-Stokes equations for large flux on a time dependent domain2023

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USHIKOSHI Erika 牛越惠理佳

Ushikoshi Erika 牛越惠理佳

[Presentation] 極端なアスペクト比を伴う断面をもつ細い弾性体に関する固有値問題2022