On the spectrum for the artificial compressible system

Yoshiyuki Kagei, Takaaki Nishida, Yuka Teramoto

    研究成果: ジャーナルへの寄稿学術誌査読

    7 被引用数 (Scopus)

    抄録

    Stability of stationary solutions of the incompressible Navier–Stokes system and the corresponding artificial compressible system is considered. Both systems have the same sets of stationary solutions and the incompressible system is obtained from the artificial compressible one in the zero limit of the artificial Mach number ϵ which is a singular limit. It is proved that if a stationary solution of the incompressible system is asymptotically stable and the velocity field of the stationary solution satisfies an energy-type stability criterion by variational method with admissible functions being only potential flow parts of velocity fields, then it is also stable as a solution of the artificial compressible one for sufficiently small ϵ. The result is applied to the Taylor problem.

    本文言語英語
    ページ(範囲)897-928
    ページ数32
    ジャーナルJournal of Differential Equations
    264
    2
    DOI
    出版ステータス出版済み - 1月 15 2018

    !!!All Science Journal Classification (ASJC) codes

    • 分析
    • 応用数学

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