Global Regularity for the Critical Dispersive Dissipative Surface Quasi-Geostrophic Equation
Analysis of PDEs
2015-05-13 v1
Abstract
We consider surface quasi-geostrophic equation with dispersive forcing and critical dissipation. We prove global existence of smooth solutions given sufficiently smooth initial data. This is done using a maximum principle for the solutions involving conservation of a certain family of moduli of continuity.
Keywords
Cite
@article{arxiv.0908.0925,
title = {Global Regularity for the Critical Dispersive Dissipative Surface Quasi-Geostrophic Equation},
author = {Alexander Kiselev and Fedor Nazarov},
journal= {arXiv preprint arXiv:0908.0925},
year = {2015}
}
Comments
6 pages