The quasi-geostrophic equation in the Triebel-Lizorkin spaces

被引：51

作者：

Chae, D ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

来源：

NONLINEARITY | 2003年 / 16卷 / 02期

关键词：

EULER EQUATIONS; FLOW; BEHAVIOR; BESOV;

D O I：

10.1088/0951-7715/16/2/307

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the local-in-time well-posedness in the Triebel-Lizorkin spaces for the two-dimensional quasi-geostrophic equation. We also obtain a sharp finite time blow-up criterion of solutions both in the super-critical and the critical cases, which improve the previous one by Constantin et al (1994 Nonlinearrily 7 1495-533). In the proof of the results, we use Littlewood-Paley decomposition and the paradifferential calculus applied directly to the equation.

引用

页码：479 / 495

页数：17

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