The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework

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    Abstract

    Consider the Navier-Stokes equations in the rotational framework. It is proved that these equations possess a unique global mild solution for arbitrary speed of rotation provided the initial data u0 is small enough in the (ℝ3-norm.

    Original languageEnglish
    Pages (from-to)481-491
    Number of pages11
    JournalMathematische Zeitschrift
    Volume265
    Issue number2
    DOIs
    Publication statusPublished - 2010 Jun

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    Mild Solution
    Navier-Stokes Equations
    Norm
    Arbitrary
    Framework

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

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    title = "The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework",
    abstract = "Consider the Navier-Stokes equations in the rotational framework. It is proved that these equations possess a unique global mild solution for arbitrary speed of rotation provided the initial data u0 is small enough in the (ℝ3-norm.",
    author = "Hieber, {Matthias Georg} and Yoshihiro Shibata",
    year = "2010",
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    doi = "10.1007/s00209-009-0525-8",
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    AU - Shibata, Yoshihiro

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    N2 - Consider the Navier-Stokes equations in the rotational framework. It is proved that these equations possess a unique global mild solution for arbitrary speed of rotation provided the initial data u0 is small enough in the (ℝ3-norm.

    AB - Consider the Navier-Stokes equations in the rotational framework. It is proved that these equations possess a unique global mild solution for arbitrary speed of rotation provided the initial data u0 is small enough in the (ℝ3-norm.

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