A Logarithmically Improved Regularity Criterion for the Supercritical Quasi-geostrophic Equations in Besov Space

被引：0

作者：

Sadek GALA ^{[1
]}

机构：

[1] Department of Mathematics, University of Mostaganem

来源：

Acta Mathematicae Applicatae Sinica | 2017年 / 33卷 / 03期

关键词：

quasi-geostrophic equations; logarithmical regularity criterion; Besov space;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, we consider the logarithmically improved regularity criterion for the supercritical quasi-geostrophic equation in Besov spaceB,(R~2). The result shows that if θ is a weak solutions satisfiesα∫~T ‖▽θ(·, s) ‖α/α-r B/1+㏑(e+‖▽θ(·, s) ‖~2,ds < ∞ for some 0 < r < α and 0 < α < 1, then θ is regular at t = T. In view of the embedding L~2M~p  B,∞with 2 ≤ p <2 rand 0 ≤ r < 1, we r see that our result extends the results due to [20] and [31].

引用

页码：679 / 686

页数：8

共 19 条

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