Well-posedness for the surface quasi-geostrophic front equation
Analysis of PDEs
2023-03-15 v2
Abstract
We consider the well-posedness of the surface quasi-geostrophic (SQG) front equation. Hunter-Shu-Zhang [9] established well-posedness under a small data condition as well as a convergence condition on an expansion of the equation's nonlinearity. In the present article, we establish unconditional large data local well-posedness of the SQG front equation, while also improving the low regularity threshold for the initial data. In addition, we establish global well-posedness theory in the rough data regime by using the testing by wave packet approach of Ifrim-Tataru.
Keywords
Cite
@article{arxiv.2212.00117,
title = {Well-posedness for the surface quasi-geostrophic front equation},
author = {Albert Ai and Ovidiu-Neculai Avadanei},
journal= {arXiv preprint arXiv:2212.00117},
year = {2023}
}
Comments
36 pages. We have added some additional references, and fixed some minor typos