Updated on 2022/03/29

写真a

 
TERASAWA Yutaka
 
Organization
Graduate School of Mathematics Social Mathematics Associate professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science Department of Mathematics
Title
Associate professor

Degree 1

  1. Doctor (Science) ( 2007.3   Hokkaido University ) 

Research Interests 1

  1. Real Analysis, Functional Equation

Research Areas 1

  1. Natural Science / Mathematical analysis  / Fundamental Equations for fluid mechanics, Real Analysis

Current Research Project and SDGs 1

  1. Existence of solutions for two-phase flow problems and those asymptotic behaviors

Research History 1

  1. 大学院多元数理科学研究科    社会数理   准教授

    2014.4

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    Country:Japan

Education 3

  1. Hokkaido University   Graduate School of Science   Department of Mathematics

    2004.4 - 2007.3

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    Country: Japan

  2. The University of Tokyo   Graduate School of Mathematical Sciences

    2001.4 - 2004.3

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    Country: Japan

  3. The University of Tokyo   Science   Department of Mathematics

    1997.4 - 2001.3

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    Country: Japan

Professional Memberships 1

  1. Mathematical Society of Japan

    2004.6

 

Papers 6

  1. Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities International coauthorship

    Helmut Abels, Yutaka Terasawa

    arXiv math, preprint     2022.1

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    Authorship:Corresponding author   Language:English  

  2. Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl Reviewed

    Kozono Hideo, Terasawa Yutaka, Wakasugi Yuta

    JOURNAL OF FUNCTIONAL ANALYSIS   Vol. 282 ( 2 )   2022.1

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    Language:Japanese  

    DOI: 10.1016/j.jfa.2021.109289

    Web of Science

  3. Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains Reviewed

      Vol. 380 ( 3-4 ) page: 1105 - 1117   2021.8

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00208-020-02032-2

    Web of Science

  4. Weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies Reviewed International coauthorship

    Abels Helmut, Terasawa Yutaka

    MATHEMATICAL METHODS IN THE APPLIED SCIENCES   Vol. 43 ( 6 ) page: 3200 - 3219   2020.4

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

    DOI: 10.1002/mma.6111

    Web of Science

  5. Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains Reviewed

    Kozono Hideo, Terasawa Yutaka, Wakasugi Yuta

    JOURNAL OF DIFFERENTIAL EQUATIONS   Vol. 265 ( 4 ) page: 1227-1247   2018.8

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jde.2018.03.027

    Web of Science

  6. A remark on Liouville-type theorems for the stationary Navier-Stokes equations in three space dimensions Reviewed

    Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi

    Journal of Functional Analysis   Vol. 272 ( 2 ) page: 804 - 818   2017.1

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jfa.2016.06.019

    Web of Science

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Presentations 9

  1. Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier–Stokes equations outside of an infinite cylinder with a periodic boundary condition ·

    2022.3.31 

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    Event date: 2022.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  2. Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities International coauthorship

    Yutaka Terasawa

    2022.3.8 

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    Event date: 2022.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  3. Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl Invited International conference

    Yutaka Terasawa

    The 8th East Asian Conference in Harmonic Analysis and Applications  2021.8.18 

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    Event date: 2021.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  4. Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities and Nonlocal Free Energies Invited International coauthorship

    Yutaka Terasawa

    2021.6.15 

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    Event date: 2021.6

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  5. Asymptotic behaviors of solutions to elliptic equations with unbounded coefficients of the second order in unbounded domains

    Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi

    2021.3.18 

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    Event date: 2021.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  6. Asymptotic properties of steady solutions to the 3D axi-symmetric Navier-Stokes equations with no swirl

    Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi

    2021.3.18 

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    Event date: 2021.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  7. Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities and Nonlocal Free Energies Invited

    Yutaka Terasawa

    2019.10.25 

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    Event date: 2019.10

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

  8. Existence of weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities and Nonlocal Free Energies International coauthorship

    Yutaka Terasawa, Helmut Abels

    2019.3.20 

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    Event date: 2019.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  9. Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities and Nonlocal Free Energies Invited International conference

    Yutaka Terasawa

    RIMS Workshop on "Mathematical Analysis of Viscous Incompressible Fluid"  2018.12.4  RIMS

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    Event date: 2018.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Kyoto   Country:Japan  

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KAKENHI (Grants-in-Aid for Scientific Research) 2

  1. Existence of solutions of free boundary problems of two-phase fluids and their asymptotic behaviors

    Grant number:17K17804  2017.4 - 2023.3

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Young Scientists (B)

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\4290000 ( Direct Cost: \3300000 、 Indirect Cost:\990000 )

  2. Phase space analysis by modulation spaces

    Grant number:26610021  2014.4 - 2018.3

    SUGIMOTO Mitsuru

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    Authorship:Collaborating Investigator(s) (not designated on Grant-in-Aid) 

    We clarified the inclusion property between Wiener-amalgam spaces, which is defined in a similar way to modulation spaces, and Sobolev spaces. We also consider the application of modulation spaces to non-linear problems and discuss the local well-posedness of the Davey-Stewartson equation which describes a kind of water wave. In connection to it, we construct a theory of smoothing effect of non-dispersive equations. Furthermore, we gave an affirmative answer to the question “Does the composite function of a smooth function and a function in a modulation space belong to the same modulation space?”