The dynamics of magneto-viscoelastic materials is described by a nonlinear system which couples the equation of the magnetization, given in Gibert form, and the viscoelastic integro-di erential equation for the displacements. We study the general three-dimensional case and establish a theorem for the existence of weak solutions. The existence is proved by compactness of the approximated penalty problem.
An existence theorem for the magneto-viscoelastic problem / Carillo, Sandra; VERGARA CAFFARELLI, Giorgio; Valente, Vanda. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 5:3(2012), pp. 435-447. [10.3934/dcdss.2012.5.435]
An existence theorem for the magneto-viscoelastic problem
CARILLO, Sandra;VERGARA CAFFARELLI, Giorgio;VALENTE, VANDA
2012
Abstract
The dynamics of magneto-viscoelastic materials is described by a nonlinear system which couples the equation of the magnetization, given in Gibert form, and the viscoelastic integro-di erential equation for the displacements. We study the general three-dimensional case and establish a theorem for the existence of weak solutions. The existence is proved by compactness of the approximated penalty problem.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.