On the uniqueness for the 2D MHD equations without magnetic diffusion

TL;DR

This paper establishes the uniqueness of solutions for the two-dimensional magnetohydrodynamics equations without magnetic diffusion, addressing a gap in recent mathematical research on the topic.

Contribution

It provides a proof of uniqueness for 2D MHD equations without magnetic diffusion, extending previous work by Chemin et al.

Findings

Proves uniqueness of solutions for 2D MHD equations without magnetic diffusion

Addresses a gap in existing mathematical literature

Extends the understanding of well-posedness in MHD models

Abstract

In this paper, we obtain the uniqueness of the 2D MHD equations, which fills the gap of recent work \cite{1} by Chemin et al.