研究分担者 前川 泰則　（Yasunori Maekawa)

東北大学大学院　理学研究科　准教授 E-mail：  @

略歴

2008年 九州大学大学院数理学研究院 助教
2009年 神戸大学大学院理学研究科 講師
2010年 神戸大学大学院理学研究科 准教授
2013年 東北大学大学院理学研究科　准教授

研究内容

流体力学と関連する偏微分方程式の数学解析

主な業績

• [1] Existence of asymmetric Burgers vortices and their asymptotic behavior at large circulations, Mathematical Models and Methods in Applied Sciences, 19 (2009) 669-705.
• [2] (Gallay, Th. - ), Three-dimensional stability of Burgers vortices, Communications in Mathematical Physics, 302 (2011) 477-511.
• [3] (Kagei, Y. - ), Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance, Journal of Functional Analysis, 260 (2011) 3036-3096.
• [4] ( - Miura, H.), On fundamental solutions for non-local parabolic equations with divergence free drift, Advances in Mathematics, 247 (2013) 123-191.
• [5] (Gallay, Th. - ); Long-time asymptotics for two-dimensional exterior flows with small circulation at infinity, Analysis and PDE, 6 (2013) 973-991.
• [6] On the inviscid limit problem of the vorticity equations for viscous incompressible flows in the half plane, Comm. Pure and Applied Math., 67 (2014) 1045-1128.

プレプリントなど

[1] (H. Kosaka - ), On vorticity formulation for viscous incompressible flows in $R^3_+$, to appear in“Recent Developments of Mathematical Fluid Mechanics'', Series: Advances in Mathematical Fluid Mechanics, Birhaeser-Verlag.

[2] ( - H. Miura), On Poisson operators and Dirichlet-Neumann maps in $H^s$ for divergence form elliptic operators with Lipschitz coefficients, to appear in Transactions of the American Mathematical Society.

[2] On asymptotic stability of global solutions in weak $L^2$ space for the two-dimensional Navier-Stokes equations, preprint.

個人ページ：

http://homepage2.nifty.com/yasunori_m/

MathSciNet：

http://www.ams.org/mathscinet/search/author.html?mrauthid=782383

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