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Seminar on partial differential equations

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

Yong Lu
Nanjing University

 

Tuesday, 4. January 2022 - 9:00 to 10:00

in IM, rear building, ground floor and on Zoom:
Link:        https://cesnet.zoom.us/j/97945633631?pwd=NWFEY0w4eS91Zi8zOEg3dVFiOFJldz09
Meeting ID:    979 4563 3631
Passcode:    958193

The recording of the lecture is available at: https://download.math.cas.cz/media/seminars/PDE/Necas_PDE_Seminar,_January_4,_2022,_Yong_Lu.mp4

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.