摘要
In this paper,we study the global existence and low Mach number limit of strong solutions to the 2-D full compressible Navier-Stokes equations around the Couette flow in a horizontally periodic layer with non-slip and isothermal boundary conditions.It is shown that the Couette flow is asymptotically stable for sufficiently small initial perturbations,provided that the Reynolds number,Mach number and temperature difference between the top and the lower walls are small.For the case where both the top and the lower walls maintain the same temperature,we further prove that such global strong solutions converge to a steady solution of the incompressible Navier-Stokes equations as the Mach number goes to zero.
基金
supported by National Natural Science Foundation of China(Grant Nos.12131007 and 12071044)。
