分野別セミナー

The linearized problem around space-time periodic solution of the compressible Navier-Stokes equation in an infinte layer is studied. The spectrum of the evolution operator is analyzed in the case of |\eta'|≤r_0 by employing Bloch transformation. It is shown that if the Reynold and Mach number is sufficiently small, solution of the linearized problem behaves like a solution of n-1 dimensional heat equation as time goes to infinity. A Floquet representation for the low frequency part of evolution operator is established.

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