Asymptotic Behavior Of Solutions For An MHD Equations

This Imaster thesis studies the asymptotic behavior of the weak so-lution for an incompressible magnetohydrodynamics partial differential equations (abbreviated MHD equations). The paper firstly applies the Fourier spectrum splitting method to derive time decay rate of the weak solution for the three-dimensional regularized MHD equations and the two-dimensional fractional MHD equations. Then, we use the equation splitting method and estimation of the solution to prove analyticity and the Gevrey regularity of the global attractor for the three-dimensional regularized MHD equations.