title: The non-relativistic limit for the e-MHD equations.
abstract: We investigate the non-relativistic limit for the e-MHD equations in a three-dimension unit periodic torus. With the prepared initial data, our result shows that the small parameter problems have unique solutions existing in the finite time interval where the corresponding limit problems (incompressible Euler equations) have smooth solutions. Moreover, the formal limit is rigorously justified.
authors.affiliation: College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China.
authors.forename: Hongli
authors.identifier: 0000-0003-4948-2074
authors.initials: H
authors.lastname: Wang
authors.affiliation: Zhengzhou Huimin Middle School, Zhengzhou 450000, China.
authors.forename: Jie
authors.initials: J
authors.lastname: Zhao
mesh_terms: D008962:Models, Theoretical