Global existence of 2D nonhomogeneous incompressible magnetohydrodynamics with vacuum
1 School of Mathematical Sciences, Luoyang Normal University, Luoyang, 471022, P.R. China
2 College of Science, Zhongyuan University of Technology, Zhengzhou, 450007, P.R. China
3 School of Mathematics, Ocean University of China, Qingdao, 266100, P.R. China
Boundary Value Problems 2014, 2014:94 doi:10.1186/1687-2770-2014-94Published: 6 May 2014
In this paper, we prove the existence of global strong solutions to the Cauchy problem of 2D incompressible magnetohydrodynamics (MHD) flows. Here, we emphasize that the initial density is permitted to contain vacuum states, and the initial velocity and magnetic fields can be arbitrarily large.