A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation
Analysis of PDEs
2008-10-09 v3
Abstract
We show a new Bernstein's inequality which generalizes the results of Cannone-Planchon, Danchin and Lemari\'{e}-Rieusset. As an application of this inequality, we prove the global well-posedness of the 2D quasi-geostrophic equation with the critical and super-critical dissipation for the small initial data in the critical Besov space, and local well-posedness for the large initial data.
Keywords
Cite
@article{arxiv.math/0607020,
title = {A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation},
author = {Qionglei Chen and Changxing Miao and Zhifei Zhang},
journal= {arXiv preprint arXiv:math/0607020},
year = {2008}
}
Comments
18pages