### arXiv:1612.04645 [math.AP]AbstractReferencesReviewsResources

#### A note on the inviscid limit of the incompressible MHD equations

Published 2016-12-14Version 1

In this paper, we prove that as the viscosity and resistivity go to zero, the solution of the Cauchy problem for the incompressible MHD equations converges to the solution of the ideal MHD equations in the same topology with the initial data. Our proof mainly depends on the method introduced by the paper \cite{G.L.Y} and the constructions of the incompressible MHD equations.

On well-posedness of the Cauchy problem for MHD system in Besov spaces

arXiv:1103.1292 [math.AP] (Published 2011-03-07)

The Cauchy problem for the DMKP equation

arXiv:0903.3703 [math.AP] (Published 2009-03-22)

Ultra-analytic effect of Cauchy problem for a class of kinetic equations