Low Mach number limit for the compressible Navier–Stokes equations with density-dependent viscosity and vorticity-slip boundary condition

Dandan Ren, Yunting Ding, Xinfeng Liang
2020 Boundary Value Problems  
In this paper, we consider the three-dimensional compressible Navier–Stokes equations with density-dependent viscosity and vorticity-slip boundary condition in a bounded smooth domain. The main idea is to derive the uniform estimates for both time and the Mach number. The difficulty is dealing with density-dependent viscosity terms carefully. With the uniform estimates, we can verify the low Mach limit of the global strong solutions of compressible Navier–Stokes equations and the global
more » ... e and uniqueness of the strong solution of incompressible Navier–Stokes equations around a steady state.
doi:10.1186/s13661-020-01455-9 fatcat:iujvrem2cnfpra4zeyey3ozqeq