Globally in time existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle

Toshiaki Hishida, Yoshihiro Shibata

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    Consider the Navier-Stokes fluid filling the whole 3-dimensional space exterior to a rotating obstacle with constant angular velocity ω. By using a coordinate system attached to the obstacle, the problem is reduced to an equivalent one in a fixed exterior domain. It is proved that the reduced problem possesses a unique global solution which goes to a stationary flow as t → ∞ when ω and the initial disturbance are small in a sense.

    Original languageEnglish
    Pages (from-to)303-307
    Number of pages5
    JournalWSEAS Transactions on Mathematics
    Volume5
    Issue number3
    Publication statusPublished - 2006 Mar

    Fingerprint

    Stokes Flow
    Angular velocity
    Navier-Stokes
    Existence Theorem
    Rotating
    Fluids
    Exterior Domain
    Global Solution
    Disturbance
    Fluid

    Keywords

    • Decay
    • Exterior domain
    • Global solution
    • Navier-Stokes flow
    • Rotating body
    • Stability

    ASJC Scopus subject areas

    • Mathematics (miscellaneous)
    • Computational Mathematics
    • Computer Science (miscellaneous)

    Cite this

    Globally in time existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle. / Hishida, Toshiaki; Shibata, Yoshihiro.

    In: WSEAS Transactions on Mathematics, Vol. 5, No. 3, 03.2006, p. 303-307.

    Research output: Contribution to journalArticle

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