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The linearized problem for the compressible Navier-Stokes equation around a given constant state is considered in a periodic layer of R^n with n ≥ 2, and spectral properties of the linearized semigrou...p is investigated. It is shown that the linearized operator generates a C_0-semigroup in L^2 over the periodic layer and the time-asymptotic leading part of the semigroup is given by a C_0-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.続きを見る
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Mendeley出力
