Global existence for the regularized surface quasi-geostrophic equation and its inviscid limits

DOI10.1186/1687-2770-2011-41zbMath1282.35309OpenAlexW2171026873WikidataQ59268173 ScholiaQ59268173MaRDI QIDQ362356

Linrui Li, Shu Wang

Publication date: 21 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-41

zbMATH Keywords

existenceuniquenessregularizationinitial value problemregularized surface quasi-geostrophic equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General theory of rotating fluids (76U05) Meteorology and atmospheric physics (86A10)

Cites Work

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
• An inviscid regularization for the surface quasi‐geostrophic equation
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• The quasi-geostrophic equation in the Triebel Lizorkin spaces
• Behavior of Solutions of 2D Quasi-Geostrophic Equations