Global well-posedness and decay for a Q tensor model of incompressible nematic liquid crystals in RN

Maria Schonbek, Yoshihiro Shibata

    Research output: Contribution to journalArticle

    Abstract

    We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional space RN. We study the global well-posedness of strong solutions in the Lp–Lq maximal regularity class.

    Original languageEnglish
    JournalJournal of Differential Equations
    DOIs
    Publication statusAccepted/In press - 2018 Jan 1

    Fingerprint

    Maximal Regularity
    Global Well-posedness
    Nematic liquid crystals
    Nematic Liquid Crystal
    Strong Solution
    Liquid Crystal
    Liquid crystals
    Tensors
    Tensor
    Decay
    Motion
    Model
    Class

    Keywords

    • Global solutions in R
    • Long-time behavior
    • Nematic liquid crystals
    • Q tensor description
    • Quasilinear parabolic evolution equations
    • Regularity

    ASJC Scopus subject areas

    • Analysis

    Cite this

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    title = "Global well-posedness and decay for a Q tensor model of incompressible nematic liquid crystals in RN",
    abstract = "We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional space RN. We study the global well-posedness of strong solutions in the Lp–Lq maximal regularity class.",
    keywords = "Global solutions in R, Long-time behavior, Nematic liquid crystals, Q tensor description, Quasilinear parabolic evolution equations, Regularity",
    author = "Maria Schonbek and Yoshihiro Shibata",
    year = "2018",
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    language = "English",
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    AU - Shibata, Yoshihiro

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    N2 - We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional space RN. We study the global well-posedness of strong solutions in the Lp–Lq maximal regularity class.

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    KW - Long-time behavior

    KW - Nematic liquid crystals

    KW - Q tensor description

    KW - Quasilinear parabolic evolution equations

    KW - Regularity

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