REGULARITY OF WEAK SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS IN THE CLASS L-infinity (BMO-1)

被引：10

作者：

Wang, Wendong ^{[1
]}

Zhang, Zhifei

机构：

[1] Peking Univ, LMAM, Beijing 100871, Peoples R China

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2012年 / 14卷 / 03期

关键词：

Navier-Stokes equations; L-infinity (BMO-1) space; axisymmetric case; Kruzhkov's method; SINGULARITIES; POSEDNESS; PROOF;

D O I：

10.1142/S0219199712500204

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the regularity of weak solution for the Navier-Stokes equations in the class L-infinity(BMO-1). It is proved that the weak solution in L-infinity(BMO-1) is regular if it satisfies a mild assumption on the vorticity direction, or it is axisymmetric. A removable singularity theorem in is an element of L-infinity (VMO-1) is also proved.

引用

页数：24

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