Low regularity solutions for the surface quasi-geostrophic front equation
Analysis of PDEs
2023-11-09 v3
Abstract
In this article we consider the low regularity well-posedness of the surface quasi-geostrophic (SQG) front equation. Recent work on other quasilinear models, including the gravity water waves system and nonlinear waves, have demonstrated that in presence of a null structure, a normal form analysis can substantially improve the low regularity theory. In the current article, we observe a null structure in the context of SQG fronts, and establish improved local and global well-posedness results.
Keywords
Cite
@article{arxiv.2310.20143,
title = {Low regularity solutions for the surface quasi-geostrophic front equation},
author = {Albert Ai and Ovidiu-Neculai Avadanei},
journal= {arXiv preprint arXiv:2310.20143},
year = {2023}
}
Comments
33 pages. Fixes some minor typos. Sections 8 and 9 are companion to Sections 6 and 7 from arXiv:2212.00117 and contain some overlap