
Asymptotic behavior of the linearized semigroup at spaceperiodic stationary solution of the compressible NavierStokes equationAsymptotic behavior of the linearized semigroup at spaceperiodic stationary solution of the compressible NavierStokes equation 
"/Enomoto, Shota/"Enomoto, Shota ,
"/Kagei, Yoshiyuki/"Kagei, Yoshiyuki
201620160414 , Faculty of Mathematics, Kyushu University
Description
The asymptotic behavior of the linearized semigroup at spatially periodic stationary solution of the compressible NavierStokes equation in a periodic layer of R^n (n = 2; 3) is investigated. It is shown that if the Reynolds and Mach numbers are sufficiently small, then the linearized semigroup is decomposed into two parts; one behaves like a solution of an n  1 dimensional linear heat equation as time goes to infinity and the other one decays exponentially.
FullText
http://catalog.lib.kyushuu.ac.jp/handle/2324/1655024/MI20163.pdf