## Differential and Integral Equations

### Local Cauchy problem for the MHD equations with mass diffusion

#### Abstract

This paper studies the Cauchy problem for the MHD equations with mass diffusion in a bounded domain in $\mathbb{R}^{3}$. We use Tikhonov's fixed-point theorem to prove the existence and uniqueness of local solutions.

#### Article information

Source
Differential Integral Equations, Volume 24, Number 11/12 (2011), 1037-1046.

Dates
First available in Project Euclid: 20 December 2012