A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes Equations

Demonstratio mathematica

article

Adam Kubica¹ 

[1] FACULTY OF MATHEMATICS AND INFORMATION SCIENCE WARSAW UNIVERSITY OF TECHNOLOGY Pl. Politechniki 1 00-661 WARSAW

关键词: Navier-Stokes equations;    axial symmetry;    regularity criteria;    weighted spaces;   

DOI  :  10.1515/dema-2015-0006

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

We examine the conditional regularity of the solutions of Navier-Stokes equations in the entire three-dimensional space under the assumption that the data are axially symmetric. We show that if positive part of the radial component of velocity satisfies a weighted Serrin type condition and in addition angular component satisfies some condition, then the solution is regular.

【 授权许可】

CC BY