Abstract
This paper is an extension of joint work with A. Milani [J. Math. Anal. Appl. 190: 77–100, 1995]. The so–called magnetohydrodynamic limit case of Maxwell's equations with a monotone and Lipschitz continuous material relation is considered in a bounded domain of arbitrary topological genus. The solution theory is presented in a space–time Hilbert space setting. Existence, uniqueness and continuous dependence results are obtained.
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