On the Serrin's regularity criterion for the \(\beta\)-generalized dissipative surface quasi-geostrophic equation

DOI10.1007/s11401-015-0932-6zbMath1347.35061OpenAlexW2195027022MaRDI QIDQ903475

Qiao Liu, Ji-Hong Zhao

Publication date: 6 January 2016

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-015-0932-6

zbMATH Keywords

Serrin's regularity criterion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Continuation and prolongation of solutions to PDEs (35B60) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86)

Related Items (1)

Decay of solutions to dissipative modified quasi-geostrophic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Note on the well-posedness of a slightly supercritical surface quasi-geostrophic equation
• On the regularity criteria of a surface quasi-geostrophic equation
• Global existence of the two-dimensional QGE with sub-critical dissipation
• Global well-posedness for a modified critical dissipative quasi-geostrophic equation
• Regularity criteria for the generalized magnetohydrodynamic equations and the quasi-geostrophic equations
• A regularity criterion for the dissipative quasi-geostrophic equations
• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Two regularity criteria for the 3D MHD equations
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• A regularity criterion for the critical and supercritical dissipative quasi-geostrophic equations
• A remark on regularity criterion for the dissipative quasi-geostrophic equations
• A maximum principle applied to quasi-geostrophic equations
• Global well-posedness in the super-critical dissipative quasi-geostrophic equations
• On the loss of continuity for super-critical drift-diffusion equations
• Gevrey regularity for the supercritical quasi-geostrophic equation
• Remarks on the logarithmical regularity criterion of the supercritical surface quasi-geostrophic equation in Morrey spaces
• Global well-posedness of the 2D critical dissipative quasi-geostrophic equation in the Triebel-Lizorkin spaces
• A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
• Global existence for the critical dissipative surface quasi-geostrophic equation
• On regularity criterion for the dissipative quasi-geostrophic equations
• A new regularity criterion for weak solutions to the Navier-Stokes equations
• On the critical dissipative quasi-geostrophic equation
• On the global regularity for the supercritical SQG equation
• Navier-Stokes equations with regularity in one direction
• Regularity and Blow up for Active Scalars
• On the Global Well-Posedness of the Critical Quasi-Geostrophic Equation
• Commutator estimates and the euler and navier-stokes equations
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Behavior of Solutions of 2D Quasi-Geostrophic Equations
• A regularity criterion for the three-dimensional nematic liquid crystal flow in terms of one directional derivative of the velocity
• On the Regularity Conditions for the Dissipative Quasi-geostrophic Equations

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