We investigate the initial-boundary value problem for Maxwell's equations in linear conducting materials together with dissipative boundary conditions. We show that it is possible to introduce the free energy and derive from it a domain of dependence. We prove the existence, uniqueness and asymptotic stability of the solution when one of Maxwell's equations is considered as a constraint for the electromagnetic fields.

Asymptotic behaviour in a conducting electromagnetic medium

AMENDOLA, GIOVAMBATTISTA
2000

Abstract

We investigate the initial-boundary value problem for Maxwell's equations in linear conducting materials together with dissipative boundary conditions. We show that it is possible to introduce the free energy and derive from it a domain of dependence. We prove the existence, uniqueness and asymptotic stability of the solution when one of Maxwell's equations is considered as a constraint for the electromagnetic fields.
Amendola, Giovambattista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/166949
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