2012-10-09T09:59:54Z2013-04-04T07:38:34Zhttp://cab.unime.it/mus/id/eprint/1132This item is in the repository with the URL: http://cab.unime.it/mus/id/eprint/11322012-10-09T09:59:54ZSu alcune proprietà di un modello matematico atto a descrivere fenomeni ereditari in un dielettrico non lineareWe consider a mathematical model which may be used to take into account the influence of the hereditary effects on nonlinear wave propagation in a dielectric. Among other results we determine the most general class of constitutive laws between the electric displacement and electric field by which the system of field equations is strictly exceptional [6]. By considering also the propagation of weak discontinuity waves into a constant state, we are able to compare the critical time when the wave amplitude becomes unbounded with the relaxation times of the dieiectric.A. DonatoDomenico Fusco