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An Initial Boundary Value Problem for
in a Parabolic Limit Case
Institut für Analysis
Technische Universität Dresden
Abstract: This paper is an extension of joint work with A. Milani . 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.
Keywords: Maxwell equations, magnetohydrodynamic limit, monotone media,initial boundary value problems
Classification (MSC2000): 35Q60, 35K22, 78A99, 76W05
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Electronic fulltext finalized on: 29 May 2002.
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