Existence of axially symmetric weak solutions to steady MHD with non-homogeneous boundary conditions

Shangkun Weng

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arXiv · 1511.02546

Existence of axially symmetric weak solutions to steady MHD with non-homogeneous boundary conditions

Shangkun Weng

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Abstract

We establish the existence of axially symmetric weak solutions to steady incompressible magnetohydrodynamics with non-homogeneous boundary conditions. The key issue is the Bernoulli's law for the total head pressure $Φ=\f 12(|{\bf u}|^2+|{\bf h}|^2)+p$ to a special class of solutions to the inviscid, non-resistive MHD system, where the magnetic field only contains the swirl component.

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Shangkun Weng. 2016-05-23. Existence of axially symmetric weak solutions to steady MHD with non-homogeneous boundary conditions. https://arxiv.org/abs/1511.02546

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