Stability of parallel flow of the compressible Navier-Stokes equation in a cylindrical domain is studied. It is shown that if the Reynolds and Mach numbers are sufficiently small, then parallel flow is asymptotically stable and the asymptotic leading part of the disturbances is described by a one dimensional viscous Burgers equation.
|Number of pages||35|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - Aug 14 2015|
All Science Journal Classification (ASJC) codes
- Applied Mathematics