Speaker：Boqiang Lv(Nanchang University)

Time：2022-06-23, 10:00

Location：Tencent Meeting ID：592-310-704（No Password）

Abstract:

This talk concerned with the global strong solutions to the Cauchy problem of 2D/3D nonhomogeneous incompressible Navier-Stokes equations with vacuum. First, it is proved that the 2D Cauchy problem of the nonhomogeneous incompressible Navier-Stokes equations admits a unique global strong solution provided that the initial density decays not too slow at infinity. Next, if the initial velocity is suitably small in Hβ（1/2 ＜β≤1）, we obtain the global existence and large-time asymptotic behavior of strong solutions to the Cauchy problem of 3D nonhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity and vacuum.