Terasawa Yutaka 寺澤祐高

… Alternative Names

TERASAWA YUTAKA 寺澤祐高

寺澤祐高テラサワユタカ

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Researcher Number	90546160
Affiliation (Current)	2025: 名古屋大学, 多元数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2017 – 2023: 名古屋大学, 多元数理科学研究科, 准教授 2017: 名古屋大学, 大学院多元数理科学研究科, 准教授 2011: The University of Tokyo, 数理(科)学研究科(研究院), その他
Review Section/Research Field	Principal Investigator Mathematical analysis / Basic analysis Except Principal Investigator Basic analysis
Keywords	Principal Investigator 実解析 / 自由境界問題 / 混相流 / 粘性流体 / Phase-Field Model / Diffuse Interface Model / 領域分数ラプラシアン / 化学ポテンシャル / 漸近挙動 / ナヴィエ・ストークス方程式 … More / 非局所エネルギー / リュービル型定理 / 定常ナヴィエ・ストークス方程式 / 局所自由エネルギー / 非局所自由エネルギー / 二層流体問題 / エネルギー不等式 / 弱解 / 局所漸近 / 非局所作用素 / カーン・ヒリアード方程式 / ナビエ・ストークス方程式 / 拡散界面モデル / 二層流体 … More Except Principal Investigator 非線形問題 / 分散型方程式 / 正準変換 / 相空間解析 / モジュレーション空間 Less

Existence of solutions of free boundary problems of two-phase fluids and their asymptotic behaviorsPrincipal Investigator
- Principal Investigator
  
  Terasawa Yutaka
- Project Period (FY)
  2017 – 2023
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Nagoya University
Phase space analysis by modulation spaces
- Principal Investigator
  
  SUGIMOTO Mitsuru
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
最大正則性と非ニュートン流体の自由境界問題への応用Principal Investigator
- Principal Investigator
  
  寺澤祐高
- Project Period (FY)
  2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo

All 2024 2023 2022 2021 2020 2019 2018 2017

All Journal Article Presentation

[Journal Article] Liouville-type theorems for the Taylor--Couette--Poiseuille flow of the stationary Navier--Stokes equations2024
- Author(s)
  Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
- Journal Title
  
  Journal of Fluid Mechanics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K17804
[Journal Article] Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition2023
- Author(s)
  Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 365 Pages: 905-926
- DOI
  10.1016/j.jde.2023.05.025
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-17K17804, KAKENHI-PROJECT-21H04433
[Journal Article] Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl2022
- Author(s)
  Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 282 Issue: 2 Pages: 109289-109289
- DOI
  10.1016/j.jfa.2021.109289
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K17804, KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-16H06339, KAKENHI-PROJECT-21H04433
[Journal Article] Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities2022
- Author(s)
  Helmut Abels and Yutaka Terasawa
- Journal Title
  
  Discrete Contin. Dyn. Syst. Ser. S
  
  Volume: 15 Issue: 8 Pages: 1871-1871
- DOI
  10.3934/dcdss.2022117
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Journal Article] Asymptotic properties of steady and nonsteady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral2022
- Author(s)
  Hideo Kozono, Yutaka Terasawa and Yuta Wakasugi
- Journal Title
  
  Indiana Univ. Math. J.
  
  Volume: 71 Issue: 3 Pages: 1299-1316
- DOI
  10.1512/iumj.2022.71.8978
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K17804
[Journal Article] Weak solutions for a diffuse interface model for two‐phase flows of incompressible fluids with different densities and nonlocal free energies2020
- Author(s)
  Helmut Abels, Yutaka Terasawa
- Journal Title
  
  Mathematical Methods in the Applied Sciences
  
  Volume: Volume 43, Issue 6 Issue: 6 Pages: 3200-3219
- DOI
  10.1002/mma.6111
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Journal Article] Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains2020
- Author(s)
  Hideo Kozono, Yutaka Terasawa and Yuta Wakasugi
- Journal Title
  
  Mahematische Annalen
  
  Volume: - Issue: 3-4 Pages: 1105-1117
- DOI
  10.1007/s00208-020-02032-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K17804, KAKENHI-PROJECT-18KK0072
[Journal Article] Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains2018
- Author(s)
  H. Kozono, Y. Wakasugi, Y. Terasawa
- Journal Title
  
  J. Differential Equations
  
  Volume: 印刷中 Issue: 4 Pages: 1227-1247
- DOI
  10.1016/j.jde.2018.03.027
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K17804, KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-16H06339
[Presentation] Liouville-type theorems for the Taylor-Couette flow of the stationary Navier-Stokes equations2024
- Author(s)
  Yutaka Terasawa
- Organizer
  HMAセミナー・冬の研究会
- Invited
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities2023
- Author(s)
  Yutaka Terasawa
- Organizer
  Analysis Seminar, Ljubljana University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Liouville-type theorems for the Taylor-Couette flow of the stationary Navier-Stokes equations2023
- Author(s)
  Yutaka Terasawa
- Organizer
  The 10th East Asian Conference in Harmonic Analysis and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities2023
- Author(s)
  Yutaka Terasawa
- Organizer
  RIMS共同研究（公開型）発展方程式とその周辺--エネルギー構造と解の定量的解析--
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Liouville-type theorems for the Taylor-Couette flow of the stationary Navier-Stokes equations2023
- Author(s)
  Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
- Organizer
  日本数学会2023年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] 二層流体の非局所拡散界面モデルの弱解の存在及びその局所漸近2022
- Author(s)
  寺澤祐高
- Organizer
  日本数学会２０２２年度秋季総合分科会函数方程式論分科会特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Convergence of a Nonlocal to Local Diffuse Interface Nodel for Two-phase Flows with Unmatched Densities2022
- Author(s)
  Yutaka Terasawa
- Organizer
  The 9th East Asian Conference in Harmonic Analysis and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities2022
- Author(s)
  Yutaka Terasawa
- Organizer
  第37回調和解析セミナー
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies2021
- Author(s)
  Yutaka Terasawa
- Organizer
  第20 回非線形発展方程式セミナーat KUE
- Invited
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl2021
- Author(s)
  Yutaka Terasawa
- Organizer
  The 8th East Asian Conference in Harmonic Analysis and Applications (The 20th In- ternational Conference, Graduate School of Mathematics, Nagoya University)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Weak solutions for a diffuse interface model for two-phase ows of incompressible uids with different densities and nonlocal free energies2021
- Author(s)
  Yutaka Terasawa
- Organizer
  SPRING 2021 Nonlinear Analysis Seminar Series, OIST (online on Zoom)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies2020
- Author(s)
  Helmut Abels, Yutaka Terasawa
- Organizer
  Harmonic Analysis workshop in Seoul, Seoul National University, 2020年2月
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Existence of weak solutions fora diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies2019
- Author(s)
  Helmut Abels and Yutaka Terasawa
- Organizer
  第二十回北東数学解析研究会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Asymptotic properties of steady solutions to the 2D Navier-Stokes equations with Finite Generalized Dirichlet Integral2019
- Author(s)
  小薗英雄, 寺澤祐高, 若杉勇太
- Organizer
  日本数学会年会, 東京工業大学
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Existence of weak solutions fora diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies2019
- Author(s)
  Helmut Abels and Yutaka Terasawa
- Organizer
  日本数学会年会, 東京工業大学
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Asymptotic properties of steady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet energy2019
- Author(s)
  Hideo Kozono, Yuta Wakasugi, Yutaka Terasawa
- Organizer
  7th East Asian Conference in Harmonic Analysis and Applications, Chung-Ang University, Seoul, Korea
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities and Nonlocal Free Energies2019
- Author(s)
  Helmut Abels, Yutaka Terasawa
- Organizer
  非線形解析セミナー、慶應義塾大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Weak Solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies2018
- Author(s)
  Helmut Abels and Yutaka Terasawa
- Organizer
  International Conference on Harmonic Analysis and Applications, Yanqi Lake, Beijing
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Weak Solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies2018
- Author(s)
  Helmut Abels and Yutaka Terasawa
- Organizer
  Mathematical Analysis of Viscous Incompressible Fluids, RIMS, Kyoto
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] M. T. Lacey著 "An elementary proof of A2 bound", Israel J. Math. 217 (2017), no.1, p.181-p.195の紹介2018
- Author(s)
  Yutaka Terasawa
- Organizer
  Sparse bound 勉強会
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] A remark on Liouville-type theorem for the nonstationary Navier-Stokes equations in two dimensional domains2018
- Author(s)
  Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
- Organizer
  日本数学会年会, 東京大学
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Weak Solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies2018
- Author(s)
  Helmut Abels and Yutaka Terasawa
- Organizer
  The 6th East Asian Conference in Harmonic Analysis and Applications, Osaka University, Toyonaka
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains2017
- Author(s)
  Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
- Organizer
  日本数学会秋季総合分科会, 山形大学
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains2017
- Author(s)
  Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
- Organizer
  5th East Asain Conference in Harmonic Analysis and its Applications, Zhejiang, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804
[Presentation] Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains2017
- Author(s)
  Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
- Organizer
  Harmonic Analysis and its applications in Tokyo 2017, Tokyo, Japan
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K17804

1. SUGIMOTO Mitsuru (60196756)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. TOMITA NAOHITO (10437337)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 小薗英雄

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Terasawa Yutaka 寺澤 祐高

TERASAWA YUTAKA 寺澤 祐高

寺澤 祐高 テラサワ ユタカ

Research Projects

Research Products

Co-Researchers

Existence of solutions of free boundary problems of two-phase fluids and their asymptotic behaviorsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Phase space analysis by modulation spaces

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

最大正則性と非ニュートン流体の自由境界問題への応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Liouville-type theorems for the Taylor--Couette--Poiseuille flow of the stationary Navier--Stokes equations2024

Author(s)

Journal Title

Data Source

[Journal Article] Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic properties of steady and nonsteady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Weak solutions for a diffuse interface model for two‐phase flows of incompressible fluids with different densities and nonlocal free energies2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains2018

Author(s)

Journal Title

DOI

Data Source

[Presentation] Liouville-type theorems for the Taylor-Couette flow of the stationary Navier-Stokes equations2024

Author(s)

Organizer

Data Source

[Presentation] Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities2023

Author(s)

Organizer

Data Source

[Presentation] Liouville-type theorems for the Taylor-Couette flow of the stationary Navier-Stokes equations2023

Author(s)

Organizer

Data Source

[Presentation] Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities2023

Author(s)

Organizer

Data Source

[Presentation] Liouville-type theorems for the Taylor-Couette flow of the stationary Navier-Stokes equations2023

Terasawa Yutaka 寺澤祐高

TERASAWA YUTAKA 寺澤祐高

寺澤祐高テラサワユタカ