Regularity criterion for 3D MHD fluid passing through the porous medium in terms of gradient pressure

[摘要] The aim of the paper is to establish regularity criteria for the weak solution of fluid passing through the porous media in R-3. Our results show that if del P is an element of L-alpha,L-gamma with 2/alpha + 3/gamma <= 3, 1 <= gamma <= infinity, then the weak solution is regular and unique; if P is an element of L-alpha,L-gamma with 2/alpha + 3/gamma <= 2, 3/2 <= gamma <= infinity, then the weak solution is regular and unique. (C) 2014 Elsevier B.V. All rights reserved.

[发布日期] 2014-11-01

[效力级别]  Proceedings Paper

[关键词] Regularity criterion;Porous medium;Incompressible;MHD fluid