Eventual regularity of the solutions to the supercritical dissipative quasi-geostrophic equation

DOI10.1007/s00039-011-0108-9zbMath1210.35185arXiv1007.2970OpenAlexW2061090450MaRDI QIDQ633237

Michael G. Dabkowski

Publication date: 31 March 2011

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2970

zbMATH Keywords

regularizationquasi-geostrophic equationsupercritical dissipationtest class evolution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05)

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Cites Work

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
• Eventual regularization for the slightly supercritical quasi-geostrophic equation
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• A maximum principle applied to quasi-geostrophic equations
• Variation on a theme of Caffarelli and Vasseur
• On the critical dissipative quasi-geostrophic equation
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