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Degenerate forms of Maxwell's equations

Published online by Cambridge University Press:  17 February 2009

A. L. Carey and
K. McNamara
A. L. Carey
Affiliation:
Department of Pure Mathematics, The University of Adelaide, Adelaide 5001, South Australia.
K. McNamara
Affiliation:
Department of Pure Mathematics, The University of Adelaide, Adelaide 5001, South Australia.
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Abstract

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This paper studies degenerate forms of Maxwell's equations which arise from approximations suggested by geophysical modelling problems. The approximations reduce Maxwell's equations to degenerate elliptic/parabolic ones. Here we consider the questions of existence, uniqueness and regularity of solutions for these equations and address the problem of showing that the solutions of the degenerate equations do approximate those of the genuine Maxwell equations.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 31 , Issue 3 , January 1990, pp. 277 - 300
Copyright
Copyright © Australian Mathematical Society 1990

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