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.
2012
nonlinear integro-differential problem.; materials with memory; magneto-viscoelastic materials; nonlinear integro-di erential problem
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/80248
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