报告人：张平 研究员, 中科院数学与系统科学研究院 数学所

报告时间：2018年4月26日上午9:30-10:30

报告地点：知新楼B座924

Title：Regualrities of 2-D Density patch for the inhomogeneous Navier-Stokes system with variable viscosity

Abstarct：In this talk, we investigate the existence and uniqueness of strong solutions to 2D incompressible inhomogeneous Navier-Stokes equations with viscous coefficient depending on the density and with initial density being discontinuous across some smooth interface. Compared with the previous results for the inhomogeneous Navier-Stokes equations with constant viscosity, the main difficulty here lies in the fact that the $L^1$ in time Lipschitz estimate of the convection velocity field can not be obtained by energy method. As an application, we shall prove the propagation of $H^3$ regularity of the interface between fluids with different densities.

邀请人：胡锡俊