Applied Analysis Seminar 3 - Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable

Date: Friday, October 29, 2021, 14:00-15:00

Speaker: Yong Lyu (Nanjing University)

Venue：1110

Zoom ID：361 038 6975 Password：BIMSA

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

Abstract:

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).