Spectral properties of the semigroup for the linearized compressible Navier-Stokes equation around a parallel flow in a cylindrical domain

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説明

This paper is concerned with the stability of a parallel flow of the compressible Navier-Stokes equation in a cylindrical domain. The spectrum of the linearized operator is analyzed for the purpose of the study of the nonlinear stability. 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 a one dimensional heat equation as time goes to infinity and the other one decays exponentially. Some estimates related to the spectral projections are established, which will also be useful for the study of the nonlinear problem.

収録刊行物

  • MI Preprint Series

    MI Preprint Series 2015-2 2015-03-31

    Faculty of Mathematics, Kyushu University

詳細情報 詳細情報について

  • CRID
    1050017057729227136
  • HANDLE
    2324/1500417
  • 本文言語コード
    en
  • 資料種別
    journal article
  • データソース種別
    • IRDB

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