报告题目:Uniform regularity and vanishing viscosity limit for the micropolar fluids with Navier boundary condition
报 告人:厚晓凤 博士 (上海大学)
报告时间:2022年3月19日(星期六)20:00-21:00
报告地点:腾讯会议号:406671338
邀 请人:温焕尧 教授
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数学学院
2022年3月18日
报告摘要:We are concerned with the vanishing viscosity and dynamic microrptation viscosity limit for the 3D incompressible micropolar system in the half space. When the Navier boundary condition for the velocity and non-slip boundary condition for the angular velocity are imposed, we prove that in an interval of time independent of viscosity, the solutions of such system are uniformly bounded in both a conormal Sobolev space and L^\infty space in the inviscid limit. Based on the uniform estimates we show the convergence of the viscous micropolar system to the corresponding inviscid system as the viscosity and dynamic microrptation viscosity tend to zero.