On the global well-posedness for the compressible Navier-Stokes equations with slip boundary condition

Yoshihiro Shibata, Miho Murata

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    In this paper, we prove a global in time unique existence theorem for the compressible viscous fluids in a bounded domain with slip boundary condition in the maximal Lp-Lq regularity class with 2

    p-Lq regularity estimate of exponentially decay type. The same problem was first treated by Kobayashi and Zajaczkowski [5] in the L2 framework by using the energy method; our approach is completely different from Kobayashi and Zajaczkowski [5].

    Original languageEnglish
    Pages (from-to)5761-5795
    Number of pages35
    JournalJournal of Differential Equations
    Volume260
    Issue number7
    DOIs
    Publication statusPublished - 2016 Apr 5

    Fingerprint

    Slip Boundary Condition
    Compressible Navier-Stokes Equations
    Global Well-posedness
    Navier Stokes equations
    Regularity
    Boundary conditions
    Fluids
    Compressible Fluid
    Energy Method
    Viscous Fluid
    Existence Theorem
    Bounded Domain
    Decay
    Estimate
    Class
    Framework

    ASJC Scopus subject areas

    • Analysis

    Cite this

    On the global well-posedness for the compressible Navier-Stokes equations with slip boundary condition. / Shibata, Yoshihiro; Murata, Miho.

    In: Journal of Differential Equations, Vol. 260, No. 7, 05.04.2016, p. 5761-5795.

    Research output: Contribution to journalArticle

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