On a maximal Lp-Lq approach to the compressible viscous fluid flow with slip boundary condition

Miho Murata

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    In this paper, we prove a local in time unique existence theorem for the compressible viscous fluids in the general domain with slip boundary condition. For the purpose, we use the contraction mapping principle based on the maximal Lq-Lq regularity by means of the Weis operator valued Fourier multiplier theorem for the corresponding time dependent problem. To obtain the maximal Lp-Lq regularity, we prove the sectorial R-boundedness of the solution operator to the generalized Stokes equations.

    Original languageEnglish
    Pages (from-to)86-109
    Number of pages24
    JournalNonlinear Analysis, Theory, Methods and Applications
    Volume106
    DOIs
    Publication statusPublished - 2014

    Fingerprint

    Slip Boundary Condition
    Compressible Fluid
    Viscous Flow
    Viscous Fluid
    Fluid Flow
    Flow of fluids
    Operator-valued Fourier multipliers
    R-boundedness
    Regularity
    Boundary conditions
    Contraction Mapping Principle
    Fluids
    Stokes Equations
    Generalized Equation
    Existence Theorem
    Operator
    Theorem

    Keywords

    • Analytic semigroup
    • Compressible viscous fluid
    • Local in time existence theorem
    • R-boundedness
    • Slip condition

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    On a maximal Lp-Lq approach to the compressible viscous fluid flow with slip boundary condition. / Murata, Miho.

    In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 106, 2014, p. 86-109.

    Research output: Contribution to journalArticle

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