周期边界条件下磁流体动力学方程的指数吸引子

The Exponetially Attractor for MHD Equations in Space-Periodic Case

我们考虑周期边条件下二维磁流体动力学（MHD）方程，证明了指数吸引子的存在性并给出其分形维度的上界估计．

The magnetohydrodynamic equations (MHD equations) is considered. We prove the existence of exponetially attractor (when n=2). The upper bounds of it's fractal dimension has been given.