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

Hideo Kozono, Yuki Mashiko, Ryo Takada

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    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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    ASJC Scopus subject areas

    • Mathematics (miscellaneous)

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