Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals

Jishan Fan, Tohru Ozawa

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    Abstract

    We consider the hydrodynamic theory of liquid crystals. We prove some regularity criteria for a simplified Ericksen-Leslie system. The existence and uniqueness of global smooth solutions is also proved for a regularization model of this simplified system.

    Original languageEnglish
    Pages (from-to)859-867
    Number of pages9
    JournalDiscrete and Continuous Dynamical Systems
    Volume25
    Issue number3
    DOIs
    Publication statusPublished - 2009 Nov

    Fingerprint

    Regularity Criterion
    System Modeling
    Liquid Crystal
    Liquid crystals
    Flow of fluids
    Hydrodynamics
    Global Smooth Solution
    Regularization
    Existence and Uniqueness
    Model

    Keywords

    • Ericksen-Leslie system
    • Liquid crystals
    • Navier-stokes equations
    • Regularity condition

    ASJC Scopus subject areas

    • Discrete Mathematics and Combinatorics
    • Applied Mathematics
    • Analysis

    Cite this

    Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals. / Fan, Jishan; Ozawa, Tohru.

    In: Discrete and Continuous Dynamical Systems, Vol. 25, No. 3, 11.2009, p. 859-867.

    Research output: Contribution to journalArticle

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