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

2015/11/09 by Weng, Shangkun
#35Q35 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1511.02546

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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