Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
Peter Constantin, Jiahong Wu (2008)
Annales de l'I.H.P. Analyse non linéaire
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Peter Constantin, Jiahong Wu (2008)
Annales de l'I.H.P. Analyse non linéaire
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Guliyev, Emin V., Mammadov, Yagub Y. (2010)
Abstract and Applied Analysis
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Shakhmurov, Veli B. (2007)
Abstract and Applied Analysis
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Burenkov, Viktor I.
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Chérif Amrouche, Hamid Bouzit (2008)
Applications of Mathematics
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This paper solves the scalar Oseen equation, a linearized form of the Navier-Stokes equation. Because the fundamental solution has anisotropic properties, the problem is set in a Sobolev space with isotropic and anisotropic weights. We establish some existence results and regularities in theory.