English

Well-posedness for SQG sharp fronts with unbounded curvature

Analysis of PDEs 2021-05-25 v1

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+sH^{2+s} for arbitrarily small s>0s>0, allowing for fronts with unbounded curvature.

Keywords

Cite

@article{arxiv.2105.10982,
  title  = {Well-posedness for SQG sharp fronts with unbounded curvature},
  author = {Francisco Gancedo and Huy Q. Nguyen and Neel Patel},
  journal= {arXiv preprint arXiv:2105.10982},
  year   = {2021}
}

Comments

35 pages

R2 v1 2026-06-24T02:23:16.306Z