A regularity criterion for the critical and supercritical dissipative quasi-geostrophic equations

DOI10.1016/j.aml.2010.06.014zbMath1197.35207OpenAlexW2024659375MaRDI QIDQ990807

Zhaoyin Xiang

Publication date: 1 September 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.06.014

zbMATH Keywords

regularity criterionquasi-geostrophic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (9)

Regularity criterion and energy conservation for the supercritical quasi-geostrophic equation ⋮ A logarithmically improved regularity criterion for the supercritical quasi-geostrophic equations in Besov space ⋮ On the Serrin's regularity criterion for the \(\beta\)-generalized dissipative surface quasi-geostrophic equation ⋮ On the regularity criteria of a surface quasi-geostrophic equation ⋮ On the viscous instabilities and transitions of two-layer model with a layered topography ⋮ On the blow-up criterion for the quasi-geostrophic equations in homogeneous Besov spaces ⋮ A logarithmically improved regularity criterion for the surface quasi-geostrophic equation ⋮ Commutator estimate and its application to regularity criteria of the dissipative quasi-geostrophic equation ⋮ Remarks on the logarithmical regularity criterion of the supercritical surface quasi-geostrophic equation in Morrey spaces

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