Large time behavior of the semigroup on Lp spaces associated with the linearized compressible Navier-Stokes equation in a cylindrical domain

Yuya Ishihara, Yoshiyuki Kagei

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)

    Abstract

    Large time behavior of solutions to the linearized compressible Navier-Stokes equation around the motionless state in a cylindrical domain is investigated. The Lp decay estimates of the associated semigroup are established for all 1 < p < ∞. It is also shown that the time-asymptotic leading part of the semigroup is given by a one-dimensional heat semigroup.

    Original languageEnglish
    Pages (from-to)252-286
    Number of pages35
    JournalJournal of Differential Equations
    Volume248
    Issue number2
    DOIs
    Publication statusPublished - Jan 15 2010

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Applied Mathematics

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