On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion

Yoshihiro Shibata, Koumei Tanaka

    Research output: Contribution to journalArticle

    15 Citations (Scopus)

    Abstract

    The linearized initial boundary value problem describing the motion of the viscous compressible fluid is studied under Dirichlet zero condition in bounded and unbounded domains. The resolvent estimate for the corresponding operator is proved in the Lp framework and the sharp inner estimate of the resolvent set is obtained.

    Original languageEnglish
    Pages (from-to)1579-1606
    Number of pages28
    JournalMathematical Methods in the Applied Sciences
    Volume27
    Issue number13
    DOIs
    Publication statusPublished - 2004 Sep 10

    Fingerprint

    Resolvent Estimates
    Compressible Fluid
    Unbounded Domain
    Resolvent
    Viscous Fluid
    Initial-boundary-value Problem
    Boundary value problems
    Dirichlet
    Bounded Domain
    Dynamical systems
    Dynamical system
    Fluids
    Motion
    Zero
    Operator
    Estimate
    Framework

    Keywords

    • Compressible viscous fluid flow
    • L framework
    • Resolvent estimate

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

    Cite this

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    AU - Shibata, Yoshihiro

    AU - Tanaka, Koumei

    PY - 2004/9/10

    Y1 - 2004/9/10

    N2 - The linearized initial boundary value problem describing the motion of the viscous compressible fluid is studied under Dirichlet zero condition in bounded and unbounded domains. The resolvent estimate for the corresponding operator is proved in the Lp framework and the sharp inner estimate of the resolvent set is obtained.

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    KW - Compressible viscous fluid flow

    KW - L framework

    KW - Resolvent estimate

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