On axially symmetric incompressible magnetohydrodynamics in three dimensions

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Abstract

In the short article we study the ideal incompressible magnetohydrodynamic equations in three dimensions in which the Faraday law is inviscid. We prove the global well-posedness of classical solutions for a family of special axisymmetric initial data whose swirl components of the velocity field and magnetic vorticity field are trivial.

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APA

Lei, Z. (2015). On axially symmetric incompressible magnetohydrodynamics in three dimensions. Journal of Differential Equations, 259(7), 3202–3215. https://doi.org/10.1016/j.jde.2015.04.017

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