On the Steady Magnetohydrodynamic Equations with Nonhomogeneous Boundary Conditions

Xixia Ma

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arXiv · 2009.09814

On the Steady Magnetohydrodynamic Equations with Nonhomogeneous Boundary Conditions

Xixia Ma

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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.

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Xixia Ma. 2020-08-05. On the Steady Magnetohydrodynamic Equations with Nonhomogeneous Boundary Conditions. https://arxiv.org/abs/2009.09814

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