On the blow-up criterion for the quasi-geostrophic equations in homogeneous Besov spaces

被引：0
|
作者：
Zhang, Zujin [1 ]
机构：
[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Quasi-geostrophic equations; Blow-up criteria; Besov spaces; GLOBAL WELL-POSEDNESS; REGULARITY CRITERION; BEHAVIOR;
D O I：
10.1016/j.camwa.2017.10.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the blow-up criterion for the quasi-geostrophic equations with dissipation Lambda(gamma) (0 < gamma < 1). By establishing a new trilinear estimate, we show that if theta is an element of L gamma/gamma+s-1(0, T; B-infinity,infinity(s) (R-2) ) for some s is an element of (1 - gamma/2, 1), then the solution can be extended smoothly past T. This improves and extends the corresponding results in Dong and Pavlovic (2009) ([32]) and Yuan (2010). (C) 2017 Elsevier Ltd. All rights reserved.
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页码：1038 / 1043
页数：6
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