偏微分方程研讨班：Global well-posedness of 3D Navier-Stokes equations with variable viscosity

中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：Dongjuan Niu (Capital Normal University)

题  目：Global well-posedness of 3D Navier-Stokes equations with variable viscosity

时  间：2023.05.31（星期三）10:00-11:00

地  点：数学院南楼N913

摘  要：In this talk, we investigate the global well-posedness in the critical spaces of 3D inhomogenous  Navier-Stokes equations, which has variable kinematic viscosity under the smallness assumptions of initial velocity fields. Compared with the previous results，we remove the smallness assumption of \mu(\rho)-1 in L^{\infinity}. In addition, the decay estimate of the velocity fields is also obtained. It is a joint work with Lu Wang.