Decay estimates on solutions to the linearized compressible NavierStokes equation around time-periodic parallel flow are established. It is shown that if the Reynolds and Mach numbers are sufficiently small, solutions of the linearized problem decay in L 2 norm as an (n - 1)-dimensional heat kernel. Furthermore, it is proved that the asymptotic leading part of solutions is given by solutions of an (n - 1)-dimensional linear heat equation with a convective term multiplied by time-periodic function.
|Journal||Mathematical Models and Methods in Applied Sciences|
|Publication status||Published - Jul 1 2012|
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Applied Mathematics