The University of Tokyo · Graduate School of Mathematical Sciences · 准教授

Research keywordsnavier-stokes equations・boussinesq system・rotating fluids・stratified fluids・dispersive estimates・well-posedness・asymptotic analysis

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• Dispersive estimates for the Navier-Stokes equations in the rotational framework
• Global solutions for the rotating magnetohydrodynamics system in the scaling critical Sobolev space
• Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces
• Stability of time periodic solutions for the rotating navier-stokes equations

• 走化性方程式系における爆発現象の構造的研究
• 回転流体に現れる分散性と異方性の数学解析
• 地球流体および磁気流体方程式に現れる分散性の数学解析
• 質量劣臨界非線項を持つ分散型偏微分方程式の解の大域解析

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