Updated on 2024/10/18
Doctor (Science) （ 2007.3 Hokkaido University ）
Real Analysis, Functional Equation
Natural Science / Mathematical analysis / Fundamental Equations for fluid mechanics, Real Analysis
Existence of solutions for two-phase flow problems and those asymptotic behaviors
大学院多元数理科学研究科 社会数理 准教授
2014.4
Country：Japan
Hokkaido University Graduate School of Science Department of Mathematics
2004.4 - 2007.3
Country： Japan
The University of Tokyo Graduate School of Mathematical Sciences
2001.4 - 2004.3
Country： Japan
The University of Tokyo Science Department of Mathematics
1997.4 - 2001.3
Country： Japan
Mathematical Society of Japan
2004.6
日本数学会 雑誌「数学」編集委員
2023.7
Kozono, H; Terasawa, Y; Wakasugi, Y
JOURNAL OF FLUID MECHANICS Vol. 989 2024.7
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, H; Terasawa, Y; Wakasugi, Y
JOURNAL OF DIFFERENTIAL EQUATIONS Vol. 365 page： 905 - 926 2023.8
CONVERGENCE OF A NONLOCAL TO A LOCAL DIFFUSE INTERFACE MODEL FOR TWO-PHASE FLOW WITH UNMATCHED DENSITIES Invited Reviewed International coauthorship
Abels, H; Terasawa, Y
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S Vol. 15 ( 8 ) page： 1871 - 1881 2022.8
Kozono, H; Terasawa, Y; Wakasugi, Y
JOURNAL OF FUNCTIONAL ANALYSIS Vol. 282 ( 2 ) 2022.1
Kozono, H; Terasawa, Y; Wakasugi, Y
INDIANA UNIVERSITY MATHEMATICS JOURNAL Vol. 71 ( 3 ) page： 1299 - 1316 2022
Vol. 380 ( 3-4 ) page： 1105 - 1117 2021.8
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, H; Terasawa, Y
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Vol. 43 ( 6 ) page： 3200 - 3219 2020.4
Kozono Hideo, Terasawa Yutaka, Wakasugi Yuta
JOURNAL OF DIFFERENTIAL EQUATIONS Vol. 265 ( 4 ) page： 1227 - 1247 2018.8
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
Journal of Functional Analysis Vol. 272 ( 2 ) page： 804 - 818 2017.1
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
定常ナヴィエ・ストークス方程式のテイラー・クエット・ポアズイユ流に関する一意性定理 Invited
小薗英雄、寺澤祐高、若杉勇太
第６７回理論応用力学講演会 2024.9.4 日本機械学会
Asymptotic behavior of solutions to elliptic equations in 2D exterior domains Invited International conference
Yutaka Terasawa
The 11th East Asian Conference in Harmonic Analysis and Applications 2024.8.18 Naohito Tomita, Yutaka Terasawa, Yohei Tsutsui et al.
Liouville-type for the Taylor-Couette-Poiseuille flow of the stationary Navier-Stokes equations Invited
2024.6.3
Liouville-type for the new Taylor-Couette flow of the stationary Navier-Stokes equations Invited
2024.1.19
Liouville-type for the Taylor-Couette flow of the stationary Navier-Stokes equations
小薗英雄、若杉勇太、寺澤祐高
日本数学会２０２３年度秋季総合分科会 2023.9.23 日本数学会
Liouville-type theorems for the Taylor-Couette flow of the statinary Navier-Stokes equations Invited International conference
The 10th East Asian Conference in Harmonic Analysis and Applications 2023.8.11
Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities Invited International coauthorship International conference
Yutaka Terasawa
Complex Analysis Seminar 2023.3.28
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.
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
Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities International coauthorship
Yutaka Terasawa
2022.3.8
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
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
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
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
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
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
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
Existence of solutions of free boundary problems of two-phase fluids and their asymptotic behaviors
Grant number：17K17804 2017.4 - 2024.3
Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
Authorship：Principal investigator Grant type：Competitive
Grant amount：\4290000 （ Direct Cost: \3300000 、 Indirect Cost：\990000 ）
Phase space analysis by modulation spaces
Grant number：26610021 2014.4 - 2018.3
SUGIMOTO Mitsuru
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?”
Undergraduate Seminar OI
2022
Elements of Analysis I
2022
Practical Class on Partial Differential Equations 3
2022
Practical Class on Partial Differential Equations 1
2022
Seminar on Partial Differential Equations 3
2022
Seminar on Partial Differential Equations 1
2022
Analysis II
2022
Undergraduate Seminar OII
2022
Practical Class on Partial Differential Equations 4
2022
Practical Class on Partial Differential Equations 2
2022
Seminar on Partial Differential Equations 4
2022
Seminar on Partial Differential Equations 2
2022
Introduction to Analysis III
2022
2023年数学アゴラ
Role(s)：Lecturer
名古屋大学 2023.8
