A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation

被引：196
作者：
Chen, Qionglei
Miao, Changxing
Zhang, Zhifei
机构：
[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 271卷 / 03期
关键词：
D O I：
10.1007/s00220-007-0193-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show a new Bernstein's inequality which generalizes the results of Cannone-Planchon, Danchin and Lemarie-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.
引用
收藏
页码：821 / 838
页数：18
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