Differential and Integral Equations

Asymptotic study of a magneto-hydrodynamic system

J. Benameur, S. Ibrahim, and M. Majdoub

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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

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

First available in Project Euclid: 21 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q35: PDEs in connection with fluid mechanics
Secondary: 35B25: Singular perturbations 35B45: A priori estimates 35Q60: PDEs in connection with optics and electromagnetic theory 76D03: Existence, uniqueness, and regularity theory [See also 35Q30] 76U05: Rotating fluids 76W05: Magnetohydrodynamics and electrohydrodynamics


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

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