Large Time Existence of Special Strong Solutions to MHD Equations in Cylindrical Domains

被引：0
作者：
Bernard Nowakowski
Gerhard Ströhmer
Wojciech M. Zaja̧czkowski
机构：
[1] Polish Academy of Sciences,Institute of Mathematics
[2] The University of Iowa,Department of Mathematics, College of Liberal Arts and Sciences
[3] Military University of Technology,Institute of Mathematics and Cryptology
来源：
Journal of Mathematical Fluid Mechanics | 2018年 / 20卷
关键词：
Strong solutions; MHD equations; Large data; 35Q35; 76W05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the problem of the existence of regular solutions to the three-dimensional MHD equations in cylindrical domains with perfectly conducting boundaries and under the Navier boundary conditions for the velocity field. We show that if the initial and external data do not change too rapidly along the axis of the cylinder, then there exists a unique regular solution for any finite time.
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页码：1013 / 1034
页数：21
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