Global regularity for 2D SQG equation with variable viscosity term

DOI10.1016/j.aml.2019.106153zbMath1440.35023OpenAlexW2990828595WikidataQ126661375 ScholiaQ126661375MaRDI QIDQ2187104

Yanyan Li

Publication date: 2 June 2020

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106153

zbMATH Keywords

variable viscositysurface quasi-geostrophic equation

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)

Cites Work

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• Nonlocal maximum principles for active scalars
• Global well-posedness for a modified critical dissipative quasi-geostrophic equation
• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Some new regularity criteria for the 2D Euler-Boussinesq equations via the temperature
• Nonlinear maximum principles for dissipative linear nonlocal operators and applications
• A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
• Variation on a theme of Caffarelli and Vasseur
• Generalized surface quasi-geostrophic equations with singular velocities
• Fourier Analysis and Nonlinear Partial Differential Equations
• 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
• On the global regularity for the anisotropic dissipative surface quasi-geostrophic equation