In this talk, we consider the existence of strong solutions for the boundary value problem of steady-state compressible Navier-Stokes equations with large external forces in a bounded domain when the Mach number is appropriate, and rigorously proves that the strong solution of the boundary value problem of steady-state compressible Navier-Stokes equations converges to the strong solution of steady-state incompressible Navier-Stokes equations when the Mach number approaches zero, where the fluid velocity and temperature satisfy Dirichlet boundary conditions. And it can be found that secondary vortices are generated within bounded rectangular regions in two-dimensional situations.

Steady compressible Navier-Stokes equations,large exterior force,existence of strong solutions,low Mach number limit,secondary vortices