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arxiv: 2105.10982 · v1 · pith:XW2IFOWEnew · submitted 2021-05-23 · 🧮 math.AP

Well-posedness for SQG sharp fronts with unbounded curvature

Francisco Gancedo , Huy Q. Nguyen , Neel Patel This is my paper
classification 🧮 math.AP
keywords frontssharpcurvatureunboundedwell-posednessallowingarbitrarilyatmospheric
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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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  1. Low regularity well-posedness for the generalized surface quasi-geostrophic front equation

    math.AP 2023-11 unverdicted novelty 7.0

    Establishes local well-posedness of the non-periodic gSQG front equation at low regularity (half derivative above scaling for SQG) plus global well-posedness and modified scattering for small rough localized data.