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J-GLOBAL ID：201101033697392230   Update date: Feb. 01, 2024

Terasawa Yutaka

Terasawa Yutaka
Affiliation and department：
Nagoya University Graduate School of Mathematics

About Nagoya University Graduate School of Mathematics


Research field  (1)： Basic analysis
Research keywords  (15)： 二層流体 ,  拡散界面モデル ,  分数冪ラプラシアン ,  定常ナヴィエ・ストークス方程式 ,  リュービル型定理 ,  マルチンゲール ,  重み付き評価 ,  極大作用素 ,  解析半群 ,  強解 ,  弱解 ,  冪乗法則型流体 ,  確率偏微分方程式 ,  最大正則性 ,  非ニュートン流体
Research theme for competitive and other funds  (5)：
  • 2017 - 2023 Existence of solutions of free boundary problems of two-phase fluids and their asymptotic behaviors
  • 2014 - 2018 Phase space analysis by modulation spaces
  • 2011 - 2013 冪乗法則型流体の初期値境界値問題と自由境界問題の解析
  • 2011 - 2012 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
  • 2006 - 2007 調和解析における極大作用素の研究とナヴィエ・ストークス方程式の解析的研究
Papers (19)：
  • Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi. Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition. Journal of Differential Equations. 2023. 365. 905-926
  • Helmut Abels, Yutaka Terasawa. CONVERGENCE OF A NONLOCAL TO A LOCAL DIFFUSE INTERFACE MODEL FOR TWO-PHASE FLOW WITH UNMATCHED DENSITIES. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S. 2022
  • Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi. Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl. Journal of Functional Analysis. 2022. 282. 2
  • Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi. Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains. MATHEMATISCHE ANNALEN. 2020
  • Helmut Abels, Yutaka Terasawa. Weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies. Mathematical Methods in the Applied Sciences. 2020. 43. 6. 3200-3219
ｍore...
MISC (2)：
  • KOZONO HIDEO, TERASAWA YUTAKA, WAKASUGI YUTA. LIOUVILLE-TYPE THEOREMS FOR THE STATIONARY AND NONSTATIONARY NAVIER-STOKES EQUATIONS (関数空間の構造とその周辺). 数理解析研究所講究録. 2017. 2041. 112-121
  • Terasawa Yutaka. Stochastic Power Law Fluid Equations (Mathematical Sciences of Nonlinear Diffusion). RIMS Kokyuroku. 2012. 1810. 11-38
Professional career (1)：
  • 博士(理学)
Work history (13)：
  • 2014/04 - 現在 Nagoya University Graduate School of Mathematics Associate Professor
  • 2013/09 - 2014/03 Meiji University School of Interdisciplinary Mathematical Sciences
  • 2012/12 - 2014/03 The University of Tokyo Graduate School of Mathematical Sciences
  • 2012/04 - 2013/03 Tsuda College
  • 2011/04 - 2012/12 The University of Tokyo Graduate School of Mathematical Sciences
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Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
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