Well-posedness of the two-dimensional fractional quasigeostrophic equation (Q1789867)

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scientific article; zbMATH DE number 6950627
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Well-posedness of the two-dimensional fractional quasigeostrophic equation
scientific article; zbMATH DE number 6950627

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    Well-posedness of the two-dimensional fractional quasigeostrophic equation (English)
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    10 October 2018
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    Summary: This paper is concerned with the fractional quasigeostrophic equation with modified dissipativity. We prove the local existence of solutions in Sobolev spaces for the general initial data and the global existence for the small initial data when \(1/2\leq\alpha<1\).
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