Large time behavior of solutions to the compressible Navier-Stokes equations around a parallel flow in a cylindrical domain

Reika Aoyama, Yoshiyuki Kagei

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)

    Abstract

    Stability of parallel flow of the compressible Navier-Stokes equation in a cylindrical domain is studied. It is shown that if the Reynolds and Mach numbers are sufficiently small, then parallel flow is asymptotically stable and the asymptotic leading part of the disturbances is described by a one dimensional viscous Burgers equation.

    Original languageEnglish
    Pages (from-to)362-396
    Number of pages35
    JournalNonlinear Analysis, Theory, Methods and Applications
    Volume127
    DOIs
    Publication statusPublished - Aug 14 2015

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Applied Mathematics

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