The Stability for the Two-dimensional Incompressible MHD System with Mixed Dissipation
Hang Song *
School of Mathematics and Information Sciences, Henan Polytechnic University, Jiaozuo 454003, China.
*Author to whom correspondence should be addressed.
Abstract
The global well-posedness and stability on the two-dimensional (2D) incompressible magnetohydrodynamics (MHD) system are studied in this paper. More precisely, when the MHD system only has the dissipation of the second component of the magnetic field and mixed dissipation of velocity, this system is stable. Another main goal is to establish the large-time behavior of the solution for the linear system.
Keywords: MHD, stability, global well-posedness, large-time behavior