Articles

LOCAL WELL-POSEDNESS OF STRONG SOLUTIONS FOR THE NONHOMOGENEOUS MHD EQUATIONS WITH A SLIP BOUNDARY CONDITIONS

  • Hongmin LI ,
  • Yuelong XIAO
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  • 1. School of Mathematics and Statistics, Zhumadian Academy of Industry Innovation and Development, Huanghuai University, Zhumadian 463000, China;
    2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

Received date: 2018-09-29

  Revised date: 2019-04-08

  Online published: 2020-05-26

Supported by

This work was supported by Natural Science Foundation of China (11871412).

Abstract

This article is concerned with the 3D nonhomogeneous incompressible magnetohydrodynamics equations with a slip boundary conditions in bounded domain. We obtain weighted estimates of the velocity and magnetic field, and address the issue of local existence and uniqueness of strong solutions with the weaker initial data which contains vacuum states.

Cite this article

Hongmin LI , Yuelong XIAO . LOCAL WELL-POSEDNESS OF STRONG SOLUTIONS FOR THE NONHOMOGENEOUS MHD EQUATIONS WITH A SLIP BOUNDARY CONDITIONS[J]. Acta mathematica scientia, Series B, 2020 , 40(2) : 442 -456 . DOI: 10.1007/s10473-020-0210-x

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