BIMSA > Applied Analysis Seminar Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable
Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable
Organizer
Wen Jia Jing
Speaker
Yong Lyu
Time
Friday, October 29, 2021 2:00 PM - 3:00 PM
Venue
1110
Online
Zoom 388 528 9728 (BIMSA)
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)