On the Steady Magnetohydrodynamic Equations with Nonhomogeneous Boundary Conditions

Xixia Ma

On the Steady Magnetohydrodynamic Equations with Nonhomogeneous Boundary Conditions

Analysis of PDEs 2020-09-22 v1

Authors: Xixia Ma

Abstract

We study both the topological structure stability and the relations of the steady Magnetohydrodynamic equations when $\nu,\eta$ are given different values in muti-connected bounded domain. We also show the solutions's existence for fixed $\nu, \eta.$ The theoretical is the Morse-Sard theorem on Sobolev spaces.

Keywords

steady magnetohydrodynamic equations nonhomogeneous boundary conditions topological structure stability solution existence morse-sard theorem sobolev spaces multi-connected bounded domain

Cite

@article{arxiv.2009.09814,
  title  = {On the Steady Magnetohydrodynamic Equations with Nonhomogeneous Boundary Conditions},
  author = {Xixia Ma},
  journal= {arXiv preprint arXiv:2009.09814},
  year   = {2020}
}

Comments

19pages. arXiv admin note: text overlap with arXiv:1302.0731 by other authors

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