Well-posedness for SQG sharp fronts with unbounded curvature
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, H2+s for arbitrarily small s>0, allowing for fronts with unbounded curvature.
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