Blow-up criterion for 3D navier-stokes equations and Landau-Lifshitz system in a bounded domain

Jishan Fan, Tohru Ozawa

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    In this paper we prove a blow-up criterion for the 3D Navier-Stokes equations in a bounded domain in terms of a BMO norm of vorticity. We will also prove a regularity criterion for the Landau-Lifshitz system in a bounded domain.

    Original languageEnglish
    Title of host publicationAdvances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday
    PublisherSpringer Verlag
    Pages175-182
    Number of pages8
    Volumenone
    ISBN (Print)9783034809382
    DOIs
    Publication statusPublished - 2016
    EventInternational Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 - Nara, Japan
    Duration: 2013 Mar 52013 Mar 9

    Other

    OtherInternational Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013
    CountryJapan
    CityNara
    Period13/3/513/3/9

    Fingerprint

    Vorticity
    Navier Stokes equations

    Keywords

    • BMO-norm
    • Landau-Lifshitz
    • Navier-Stokes
    • Regularity criterion

    ASJC Scopus subject areas

    • Fluid Flow and Transfer Processes

    Cite this

    Fan, J., & Ozawa, T. (2016). Blow-up criterion for 3D navier-stokes equations and Landau-Lifshitz system in a bounded domain. In Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday (Vol. none, pp. 175-182). Springer Verlag. https://doi.org/10.1007/978-3-0348-0939-9_10

    Blow-up criterion for 3D navier-stokes equations and Landau-Lifshitz system in a bounded domain. / Fan, Jishan; Ozawa, Tohru.

    Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday. Vol. none Springer Verlag, 2016. p. 175-182.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Fan, J & Ozawa, T 2016, Blow-up criterion for 3D navier-stokes equations and Landau-Lifshitz system in a bounded domain. in Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday. vol. none, Springer Verlag, pp. 175-182, International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013, Nara, Japan, 13/3/5. https://doi.org/10.1007/978-3-0348-0939-9_10
    Fan J, Ozawa T. Blow-up criterion for 3D navier-stokes equations and Landau-Lifshitz system in a bounded domain. In Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday. Vol. none. Springer Verlag. 2016. p. 175-182 https://doi.org/10.1007/978-3-0348-0939-9_10
    Fan, Jishan ; Ozawa, Tohru. / Blow-up criterion for 3D navier-stokes equations and Landau-Lifshitz system in a bounded domain. Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday. Vol. none Springer Verlag, 2016. pp. 175-182
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