Global regularity of the two-dimensional regularized MHD equations
Analysis of PDEs
2019-09-09 v2
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.
Cite
@article{arxiv.1807.04174,
title = {Global regularity of the two-dimensional regularized MHD equations},
author = {Zhuan Ye},
journal= {arXiv preprint arXiv:1807.04174},
year = {2019}
}
Comments
This is the final version published in Dynamics of Partial Differential Equations