The linearized problem for the compressible Navier-Stokes equation around a given con- stant state is considered in a periodic layer of ℝn with n ≥ 2, and spectral properties of the linearized semigroup are investigated. It is shown that the linearized operator gener- ates a C0-semigroup in L2 over the periodic layer and the time-asymptotic leading part of the semigroup is given by a C0-semigroup generated by an n – 1-dimensional elliptic operator with constant coefficients that are determined by solutions of a Stokes system over the basic period domain.
|Number of pages||36|
|Journal||Publications of the Research Institute for Mathematical Sciences|
|Publication status||Published - Jan 1 2015|
All Science Journal Classification (ASJC) codes