GLOBAL REGULARITY FOR THE 3D MHD SYSTEM WITH DAMPING

被引：10

作者：

Zhang, Zujin ^{[1
]}

Yang, Xian ^{[2
]}

机构：

[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

[2] Ganzhou Teachers Coll, Foreign Languages Dept, Ganzhou 341000, Jiangxi, Peoples R China

来源：

COLLOQUIUM MATHEMATICUM | 2016年 / 145卷 / 01期

基金：

中国国家自然科学基金;

关键词：

MHD equations; damping; strong solutions; NAVIER-STOKES EQUATIONS; UNIQUENESS;

D O I：

10.4064/cm6654-9-2015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Cauchy problem for the 3D MHD system with damping terms epsilon vertical bar u vertical bar(alpha-1)u and delta vertical bar b vertical bar(beta-1)b (epsilon, delta > 0 and alpha, beta >= 1), and show that the strong solution exists globally for any alpha, beta > 3. This improves the previous results significantly.

引用

页码：107 / 110

页数：4

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