Approximation of the trajectory attractor of the 3D MHD system

Abstract

We study the connection between the long-time dynamics of the 3D magnetohydrodynamic- model and the exact 3D magnetohydrodynamic system. We prove that the trajectory attractor U of the 3D magnetohydrodynamic- model converges to the trajectory attractor U0 of the 3D magnetohydrodynamic system (in an appropriate topology) when approaches zero.