Well-posedness for SQG sharp fronts with unbounded curvature

2021/05/23 by Gancedo, Francisco, Nguyen, Huy Q., Patel, Neel · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.10982

Abstract

Patch solutions for the surface quasigeostrophic (SQG) equation model sharp temperature fronts in atmospheric and oceanic flows. We establish local well-posedness for SQG sharp fronts of low Sobolev regularity, H^2+s for arbitrarily small s>0, allowing for fronts with unbounded curvature.

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• Homogeneous steady states for the generalized surface quasi-geostrophic equations
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• Unified theory for regularity persistence of vortex patch boundaries

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