||Asymptotic behavior of the linearized semigroup at space-periodic stationary solution of the compressible Navier-Stokes equation
Enomoto, ShotaKagei, Yoshiyuki
20162016-04-14 , Faculty of Mathematics, Kyushu University
The asymptotic behavior of the linearized semigroup at spatially periodic stationary solution of the compressible Navier-Stokes 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.