Two-dimensional stationary Navier-Stokes equations with 4-cyclic symmetry

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    Abstract

    This paper is concerned with the stationary Navier-Stokes equation in the whole plane and in the two-dimensional exterior domain invariant under the action of the cyclic group of order 4, and gives a condition on the potentials yielding the external force, and on the boundary value, sufficient for the unique existence of a small solution equivariant with respect to the aforementioned cyclic group.

    Original languageEnglish
    JournalMathematische Nachrichten
    DOIs
    Publication statusAccepted/In press - 2016

    Keywords

    • 35Q30
    • Asymptotic profile
    • Exterior problem
    • Navier-Stokes equations
    • Stationary solutions

    ASJC Scopus subject areas

    • Mathematics(all)

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