Global regularity of the two-dimensional regularized MHD equations

Abstract

In this paper, we consider the Cauchy problem of the two-dimensional regularized incompressible magnetohydrodynamics equations. The main objective of this paper is to establish the global regularity of classical solutions of the magnetohydrodynamics equations with the minimal dissipation. Consequently, our results significantly improve the previous works.

This is the final version published in Dynamics of Partial Differential Equations