Updated on 2023/10/10

写真a

 
TERASAWA Yutaka
 
Organization
Graduate School of Mathematics Division 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 8

  1. CONVERGENCE OF A NONLOCAL TO A LOCAL DIFFUSE INTERFACE MODEL FOR TWO-PHASE FLOW WITH UNMATCHED DENSITIES Invited Reviewed International coauthorship

    Abels Helmut, Terasawa Yutaka

    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S   Vol. 15 ( 8 ) page: 1871 - 1881   2022.8

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    Language:Japanese  

    DOI: 10.3934/dcdss.2022117

    Web of Science

  2. Asymptotic Properties of Steady and Nonsteady Solutions to the 2D Navier-Stokes Equations with Finite Generalized Dirichlet Integral Reviewed

    Kozono Hideo, Terasawa Yutaka, Wakasugi Yuta

    INDIANA UNIVERSITY MATHEMATICS JOURNAL   Vol. 71 ( 3 ) page: 1299 - 1316   2022

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    Language:Japanese  

    Web of Science

  3. 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

  4. 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

  5. Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition Reviewed International journal

    Kozono Hideo, Terasawa Yutaka, Wakasugi Yuta

    JOURNAL OF DIFFERENTIAL EQUATIONS   Vol. 365   page: 905 - 926   2023.8

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

    DOI: 10.1016/j.jde.2023.05.025

    Web of Science

  6. 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

  7. 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

  8. 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

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Presentations 12

  1. 二層流の非局所拡散界面モデルの弱解及びその局所漸近 Invited

    寺澤祐高

    日本数学会2022年度秋季総合分科会  2022.9.16  日本数学会

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    Event date: 2022.9

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

    Venue:北海道大学   Country:Japan  

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

    Yutaka Terasawa

    Analysis Seminar  2023.3.28 

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    Event date: 2023.3

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

    Country:Slovenia  

  3. Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities Invited

    Yutaka Terasawa

    The 9th East Asian Conference in Harmonic Analysis and Applications  2022.8.19  Sanghyuk Lee, Joonil Kim et al.

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    Event date: 2022.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  4. 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  

  5. 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  

  6. 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  

  7. 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  

  8. 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  

  9. 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  

  10. 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  

  11. 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  

  12. 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?”

 

Teaching Experience (On-campus) 13

  1. Elements of Analysis I

    2022

     詳細を見る

    We treated ordinary differential equations. We treated quadratures, existence theorem and asymptotic behavior of solutions.

  2. Undergraduate Seminar OI

    2022

     詳細を見る

    The seminar treats basics of Differential Geometry.

  3. Practical Class on Partial Differential Equations 3

    2022

     詳細を見る

    The seminar treated basics of partial differential equations using methods of functional analysis.

  4. Practical Class on Partial Differential Equations 1

    2022

     詳細を見る

    The seminar treated basics of partial differential equations using methods of functional analysis.

  5. Seminar on Partial Differential Equations 3

    2022

     詳細を見る

    We treated basics of partial differential equations using methods of functional analysis.

  6. Seminar on Partial Differential Equations 1

    2022

     詳細を見る

    We treated basics of partial differential equations using methods of functional analysis.

  7. Analysis II

    2022

     詳細を見る

    We treated basics of Fourier Analysis.

  8. Undergraduate Seminar OII

    2022

     詳細を見る

    The seminar treated basics of differential geometry.

  9. Practical Class on Partial Differential Equations 4

    2022

     詳細を見る

    We treated basics of partial differenitial equations using methods of functional analysis.

  10. Practical Class on Partial Differential Equations 2

    2022

     詳細を見る

    The seminar treated basics of partial differential equations using methods of functional analysis.

  11. Seminar on Partial Differential Equations 4

    2022

     詳細を見る

    The seminar treated basics of partial differential equations using methods of functional analysis.

  12. Seminar on Partial Differential Equations 2

    2022

     詳細を見る

    The seminar treated basics of partial differential equations using methods of functional analysis.

  13. Introduction to Analysis III

    2022

     詳細を見る

    We treated basics of Fourier Analysis.

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