A class of large solutions to the supercritical surface quasi-geostrophic equation

DOI10.1088/1361-6544/ab3628zbMath1425.35085OpenAlexW2986655651MaRDI QIDQ5243479

Jianli Liu, Jiahong Wu, Ke-jia Pan

Publication date: 18 November 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab3628

zbMATH Keywords

large solutionssurface quasi-geostrophic equationsupercritical dissipation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Meteorology and atmospheric physics (86A10) PDEs in connection with geophysics (35Q86)

Related Items (1)

On 3D Hall-MHD equations with fractional Laplacians: global well-posedness

Cites Work

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• Finite time singularity for the modified SQG patch equation
• Eventual regularity of the solutions to the supercritical dissipative quasi-geostrophic equation
• A regularity criterion for the dissipative quasi-geostrophic equations
• 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
• Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations
• A maximum principle applied to quasi-geostrophic equations
• Nonlinear maximum principles for dissipative linear nonlocal operators and applications
• On the loss of continuity for super-critical drift-diffusion equations
• Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness
• Global well-posedness of slightly supercritical active scalar equations
• On the critical dissipative quasi-geostrophic equation
• On the global regularity for the supercritical SQG equation
• Global regularity for a modified critical dissipative quasi-geostrophic equation
• Commutator estimates and the euler and navier-stokes equations
• Quasi-geostrophic-type equations with initial data in Morrey spaces
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Inviscid limits and regularity estimates for the solutions of the 2-D dissipative quasi-geostrophic equations
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Behavior of Solutions of 2D Quasi-Geostrophic Equations
• Surface quasi-geostrophic dynamics

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