Almost sharp fronts for SQG: the limit equations

DOI10.1007/s00220-012-1486-zzbMath1272.35006OpenAlexW1981944983MaRDI QIDQ443877

Jose L. Rodrigo, Charles L. Fefferman

Publication date: 13 August 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-012-1486-z

zbMATH Keywords

Prandtl-like termsurface quasi geostropic equations

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Singular perturbations in context of PDEs (35B25) Ill-posed problems for PDEs (35R25) Cauchy-Kovalevskaya theorems (35A10) Singularity in context of PDEs (35A21) Euler equations (35Q31)

Related Items (14)

Temperature patches for the subcritical Boussinesq-Navier-Stokes system with no diffusion ⋮ Regularized and approximate equations for sharp fronts in the surface quasi-geostrophic equation and its generalizations ⋮ Global solutions of a surface quasigeostrophic front equation ⋮ Well-posedness for SQG sharp fronts with unbounded curvature ⋮ Absence of splash singularities for surface quasi-geostrophic sharp fronts and the Muskat problem ⋮ Local existence of analytic sharp fronts for singular SQG ⋮ Contour dynamics for surface quasi-geostrophic fronts ⋮ Scale-invariant singularity of the surface quasigeostrophic patch ⋮ On sharp fronts and almost-sharp fronts for singular SQG ⋮ Absence of anomalous dissipation of energy in forced two dimensional fluid equations ⋮ Global Smooth Solutions for the Inviscid SQG Equation ⋮ Construction of almost-sharp fronts for the Surface Quasi-Geostrophic equation ⋮ On the local existence and blow-up for generalized SQG patches ⋮ Computer-assisted proofs in PDE: a survey

Cites Work

• Analytic sharp fronts for the surface quasi-geostrophic equation
• A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow
• Existence for the \(\alpha \)-patch model and the QG sharp front in Sobolev spaces
• Vorticity and Incompressible Flow
• The spine of an SQG almost-sharp front
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• On the evolution of sharp fronts for the quasi‐geostrophic equation
• Singular front formation in a model for quasigeostrophic flow
• Evidence of singularities for a family of contour dynamics equations
• The vortex patch problem for the surface quasi-geostrophic equation
• Almost sharp fronts for the surface quasi-geostrophic equation

This page was built for publication: Almost sharp fronts for SQG: the limit equations