Spectral properties of the linearized semigroup of the compressible Navier-stokes equation on a periodic layer

Yoshiyuki Kagei, Naoki Makio

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3 Citations (Scopus)

Abstract

The linearized problem for the compressible Navier-Stokes equation around a given con- stant state is considered in a periodic layer of ℝn with n ≥ 2, and spectral properties of the linearized semigroup are investigated. It is shown that the linearized operator gener- ates a C0-semigroup in L2 over the periodic layer and the time-asymptotic leading part of the semigroup is given by a C0-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.

Original languageEnglish
Pages (from-to)337-372
Number of pages36
JournalPublications of the Research Institute for Mathematical Sciences
Volume51
Issue number2
DOIs
Publication statusPublished - Jan 1 2015

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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