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
2000-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.