Well-posedness for SQG sharp fronts with unbounded curvature

Francisco Gancedo; Huy Q. Nguyen; Neel Patel

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arXiv · 2105.10982

Well-posedness for SQG sharp fronts with unbounded curvature

Francisco Gancedo·Huy Q. Nguyen·Neel Patel

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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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Francisco Gancedo, Huy Q. Nguyen, Neel Patel. 2021-05-23. Well-posedness for SQG sharp fronts with unbounded curvature. https://arxiv.org/abs/2105.10982

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