# American Institute of Mathematical Sciences

September  2013, 6(3): 481-503. doi: 10.3934/krm.2013.6.481

## Global existence and large time behavior of solutions to the electric-magnetohydrodynamic equations

 1 The Graduate School of China Academy of Engineering Physics, Beijing 100088, China 2 Institute of Applied Physics & Computational Math., Beijing 100088

Received  January 2013 Revised  April 2013 Published  May 2013

We are concerned with global existence and large-time behavior of solutions to the isentropic electric-magnetohydrodynamic equations in a bounded domain $\Omega\subseteq\mathbb{R}^{N}$, $N=2,\ 3$. We establish the existence and large-time behavior of global weak solutions through a three-level approximation, energy estimates on condition that the adiabatic constant satisfies $\gamma>3/2$.
Citation: Dongfen Bian, Boling Guo. Global existence and large time behavior of solutions to the electric-magnetohydrodynamic equations. Kinetic & Related Models, 2013, 6 (3) : 481-503. doi: 10.3934/krm.2013.6.481
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