Existence of periodic solutions and their asymptotic stability to the Navier-Stokes equations with the Coriolis force

Hideo Kozono, Yuki Mashiko, Ryo Takada

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    We consider the time-periodic problem for the Navier-Stokes equations in the rotational framework. We prove the unique existence of time-periodic solutions for the prescribed external force. Furthermore, we also show the asymptotic stability of small time-periodic solutions provided the initial disturbance is sufficiently small.

    Original languageEnglish
    JournalJournal of Evolution Equations
    DOIs
    Publication statusAccepted/In press - 2014 Mar 28

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    Coriolis Force
    Time-periodic Solutions
    Asymptotic Stability
    Periodic Solution
    Navier-Stokes Equations
    Periodic Problem
    Disturbance
    Framework

    ASJC Scopus subject areas

    • Mathematics (miscellaneous)

    Cite this

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    title = "Existence of periodic solutions and their asymptotic stability to the Navier-Stokes equations with the Coriolis force",
    abstract = "We consider the time-periodic problem for the Navier-Stokes equations in the rotational framework. We prove the unique existence of time-periodic solutions for the prescribed external force. Furthermore, we also show the asymptotic stability of small time-periodic solutions provided the initial disturbance is sufficiently small.",
    author = "Hideo Kozono and Yuki Mashiko and Ryo Takada",
    year = "2014",
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    doi = "10.1007/s00028-014-0228-4",
    language = "English",
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    T1 - Existence of periodic solutions and their asymptotic stability to the Navier-Stokes equations with the Coriolis force

    AU - Kozono, Hideo

    AU - Mashiko, Yuki

    AU - Takada, Ryo

    PY - 2014/3/28

    Y1 - 2014/3/28

    N2 - We consider the time-periodic problem for the Navier-Stokes equations in the rotational framework. We prove the unique existence of time-periodic solutions for the prescribed external force. Furthermore, we also show the asymptotic stability of small time-periodic solutions provided the initial disturbance is sufficiently small.

    AB - We consider the time-periodic problem for the Navier-Stokes equations in the rotational framework. We prove the unique existence of time-periodic solutions for the prescribed external force. Furthermore, we also show the asymptotic stability of small time-periodic solutions provided the initial disturbance is sufficiently small.

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    JO - Journal of Evolution Equations

    JF - Journal of Evolution Equations

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