Kuwait Journal of Science | |
Some new regularity criterion for MHD three-dimensional flow | |
关键词: 3D MHD fluid; incompressible; porous medium; regularity criterion; weak solution.; | |
DOI : | |
学科分类:社会科学、人文和艺术(综合) | |
来源: Kuwait University * Academic Publication Council | |
【 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}. We show that if (grad_{h}u,\partial_{3}b_{3}) belongs to L^{2alpha,2gamma} with 2/alpha+3/gamma<=3, 1<=gamma<=infinity, then the weak solution is regular and unique; if (grad_{h}u, grad_{h}b) belongs to L^{2alpha,2gamma} with 2/alpha+3/gamma}<=3, 1<=gamma<=infinity, then the weak solution is regular and unique; if (partial_{3}u, grad u_{3}) belongs to L^{2alpha,2gamma} and (u_{3}, b, \partial_{3} b, grad b_{3}) belongsL^{4alpha,4gamma} with 2/alpha+3/gamma}<=3, 1<=gamma<=infinity, then the weak solution is regular and unique. Here we use the notation grad_{h}=(partial_{1}, partial_{2}).
【 授权许可】
Unknown
【 预 览 】
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RO201902020163708ZK.pdf | 1529KB | download |