On the Steady Magnetohydrodynamic Equations with Nonhomogeneous Boundary Conditions

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.

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