Speaker：Xiangdi Huang（Chinese Academy of Sciences）

Time：2022-07-07, 09:00

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

Abstract:

In this talk, we present two recent works on the isentropic compressible Navier-Stokes equations. First, we prove the local existence and uniqueness of the strong solutions, where the initial compatibility condition proposed by Choe-Kim is removed under suitable sense.

Secondly, for periodic domain and half-space, we establish the existence of weak solutions with higher regularity of the three-dimensional compressible isentropic Navier-Stokes equations in small time for the adiabatic exponent $\gamma>1$ in the presence of vacuum. It can be viewed as a local version of Hoff's work, and also extends the result of Desjardins by removing the assumption of $\gamma>3$.