Open Access
VOL. 47.1 | 2007 Remark on the dissipative quasi-geostrophic equations in the critical space
Chapter Author(s) Hideyuki Miura
Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida
Adv. Stud. Pure Math., 2007: 237-251 (2007) DOI: 10.2969/aspm/04710237

Abstract

We consider the two dimensional critical and super-critical dissipative quasi-geostrophic equations. We prove the local existence of a unique regular solution for arbitrary initial data in $B_{2,1}^{2-2\alpha}$ which is corresponding to the scaling invariant space of the equation.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

MathSciNet: MR2387236

Digital Object Identifier: 10.2969/aspm/04710237

Rights: Copyright © 2007 Mathematical Society of Japan

PROCEEDINGS ARTICLE
15 PAGES


Back to Top