An application of spectral localization to critical SQG on a ball
Analysis of PDEs
2021-09-17 v1
Abstract
We study the Cauchy problem for the quasi-geostrophic equations in a unit ball of the two dimensional space with the homogeneous Dirichlet boundary condition. We show the existence, the uniqueness of the strong solution in the framework of Besov spaces. We establish a spectral localization technique and commutator estimates.
Keywords
Cite
@article{arxiv.2109.07810,
title = {An application of spectral localization to critical SQG on a ball},
author = {Tsukasa Iwabuchi},
journal= {arXiv preprint arXiv:2109.07810},
year = {2021}
}
Comments
22 pages