Global well-posedness of critical surface quasigeostrophic equation on the sphere
Analysis of PDEs
2017-04-21 v1
Abstract
In this paper we prove global well-posedness of the critical surface quasigeostrophic equation on the two dimensional sphere building on some earlier work of the authors. The proof relies on an improving of the previously known pointwise inequality for fractional laplacians as in the work of Constantin and Vicol for the euclidean setting.
Keywords
Cite
@article{arxiv.1704.06132,
title = {Global well-posedness of critical surface quasigeostrophic equation on the sphere},
author = {Diego Alonso-Oran and Antonio Cordoba and Angel D. Martinez},
journal= {arXiv preprint arXiv:1704.06132},
year = {2017}
}