Regularity condition of solutions to the quasi-geostrophic equations in Besov spaces with negative indices

DOI10.1007/s10255-010-0003-4zbMath1198.35201OpenAlexW2130522133MaRDI QIDQ993669

Bao-Quan Yuan

Publication date: 20 September 2010

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-010-0003-4

zbMATH Keywords

regularity conditionsBesov spacesquasi-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 viscous fluids (76D03) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (5)

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 regularity criteria of a surface quasi-geostrophic equation ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• A remark on regularity criterion for the dissipative quasi-geostrophic equations
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• A maximum principle applied to quasi-geostrophic equations
• Global well-posedness in the super-critical dissipative quasi-geostrophic equations
• 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
• Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices
• On regularity criterion for the dissipative quasi-geostrophic equations
• The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Global Solutions of the 2D Dissipative Quasi-Geostrophic Equation in Besov Spaces
• The two-dimensional quasi-geostrophic equation with critical or supercritical dissipation
• Behavior of Solutions of 2D Quasi-Geostrophic Equations
• On the Regularity Conditions for the Dissipative Quasi-geostrophic Equations

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