Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable
数学专题报告
报告题目(Title)：Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable
报告人(Speaker)：吕勇 教授（南京大学）
地点(Place)：后主楼1124
时间(Time)：2023年12月31日15:40-16:30
邀请人(Inviter)：许孝精
报告摘要
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.
