- 应用分析讨论班

Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable

组织者

荆文甲

演讲者

吕勇

时间

2021年10月29日 14:00 至 15:00

地点

1110

线上

Zoom 388 528 9728 (BIMSA)

摘要

We prove the global existence of solutions to the two-dimensional isentropic compressible Navier-Stokes equations with smooth initial data which is slowly varying in one direction and with initial density being away from vacuum. In particular, we present examples of initial data which generate unique global smooth solutions to 2D compressible Navier-Stokes equations with constant viscosity and with initial data which are neither small perturbation of constant state nor of small energy. This talk is based on a joint paper with P. Zhang (AMSS)