## Differential and Integral Equations

### Asymptotic study of a magneto-hydrodynamic system

#### Abstract

This paper studies the limit, as a small parameter $\varepsilon\rightarrow0$, of a simplified Magneto-Hydro-Dynamic system in a rotating frame. After proving existence and uniqueness results, we show that, in the strong rotation limit and for a finite time $T$, the solution tends to that of a limit ("averaged") system.

#### Article information

Source
Differential Integral Equations, Volume 18, Number 3 (2005), 299-324.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060221

Mathematical Reviews number (MathSciNet)
MR2122722

Zentralblatt MATH identifier
1212.35360

#### Citation

Benameur, J.; Ibrahim, S.; Majdoub, M. Asymptotic study of a magneto-hydrodynamic system. Differential Integral Equations 18 (2005), no. 3, 299--324. https://projecteuclid.org/euclid.die/1356060221