Asymptotic behavior of solutions to the linearized compressible Navier-Stokes equation around a given constant state is considered in an infinite layer Rn-1 x (0, a), n ≥ 2, under the no slip boundary condition for the momentum. The LP decay estimates of the associated semigroup are established for all 1 ≤ p ≤ ∞. It is also shown that the time-asymptotic leading part of the semigroup is given by an n -1 dimensional heat semigroup.
|Number of pages||32|
|Journal||Publications of the Research Institute for Mathematical Sciences|
|Publication status||Published - Sep 2007|
All Science Journal Classification (ASJC) codes