On the regularity criteria of a surface quasi-geostrophic equation

DOI10.1016/j.na.2012.04.010zbMath1242.35075OpenAlexW2005004572MaRDI QIDQ435065

Kazuo Yamazaki

Publication date: 16 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.04.010

zbMATH Keywords

regularity criteriaquasi-geostrophic equationmixed Lebesgue space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with geophysics (35Q86)

Related Items (10)

Remarks on the global regularity of the two-dimensional magnetohydrodynamics system with zero dissipation ⋮ Global regularity for the supercritical active scalars ⋮ Weak-strong uniqueness criterion for the \(\beta\)-generalized surface quasi-geostrophic equation ⋮ Global regularity for several incompressible fluid models with partial dissipation ⋮ On the Serrin's regularity criterion for the \(\beta\)-generalized dissipative surface quasi-geostrophic equation ⋮ On the blow-up criterion for the quasi-geostrophic equations in homogeneous Besov spaces ⋮ Remarks on the regularity criteria of generalized MHD and Navier-Stokes systems ⋮ Note on the weak-strong uniqueness criterion for the \(\beta\)-QG in Morrey-Campanato space ⋮ Commutator estimate and its application to regularity criteria of the dissipative quasi-geostrophic equation ⋮ On the global regularity of \(N\)-dimensional generalized Boussinesq system.

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