Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations (Q2866937)

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scientific article; zbMATH DE number 6236914
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Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations
scientific article; zbMATH DE number 6236914

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    10 December 2013
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    geostrophic equation
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    surface
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    scalar equation
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    explicit condition
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    velocity field
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    regularity
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    vorticity
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    Navier-Stokes equation
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    Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations (English)
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    This paper is devoted to the global regularity problem for a family of active scalar equations with fractional dissipation. A number of theorems, propositions and lemmas are developed for the solution and stability of the problem. No numerical experiments are performed for an illustration. It is a good paper for the researchers who work on theoretical areas of this subject.
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