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, $H^{2+s}$ for arbitrarily small $s>0$, allowing for fronts with unbounded curvature.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2021
- DOI:
- 10.48550/arXiv.2105.10982
- arXiv:
- arXiv:2105.10982
- Bibcode:
- 2021arXiv210510982G
- Keywords:
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- Mathematics - Analysis of PDEs
- E-Print:
- 35 pages