# A class large solution of the 2D MHD equations with velocity and magnetic damping

## TL;DR

This paper constructs a class of global large solutions for the 2D MHD equations incorporating damping effects, advancing understanding of their long-term behavior in nonhomogeneous Sobolev spaces.

## Contribution

It introduces a novel class of large solutions for 2D MHD equations with damping, expanding the theoretical framework for these equations.

## Key findings

- Existence of global large solutions with damping
- Solutions are constructed in nonhomogeneous Sobolev spaces
- Advances understanding of long-term behavior of 2D MHD equations

## Abstract

In this paper, we construct a class global large solution to the two-dimensional MHD equations with damp terms in the nonhomogeneous Sobolev framework.