A direct approach to nonuniqueness and failure of compactness for the SQG equation
Analysis of PDEs
2021-07-07 v2
Abstract
We give an alternative proof of the nonuniqueness of weak solutions to the surface quasigeostrophic equation (SQG) first shown in [Buckmaster-Shkoller-Vicol, '16]. Our approach proceeds directly at the level of the scalar field. Furthermore, we prove that every smooth scalar field with compact support that conserves the integral can be realized as a weak limit of solutions to SQG.
Keywords
Cite
@article{arxiv.2007.03078,
title = {A direct approach to nonuniqueness and failure of compactness for the SQG equation},
author = {Philip Isett and Andrew Ma},
journal= {arXiv preprint arXiv:2007.03078},
year = {2021}
}