The model of a magneto-elastic body, studied by Chipot, Shafrir, Valente and Vergara Caarelli [3], is concerned about the interaction between elastic and magnetic eects. When the deformation behaviour is viscoelastic instead than elastic, the evolution problem is modeled by an integro-dierential systems since a term, nonlocal in time, needs to be introduced. Specically, here, on the basis of results recently obtained [1] and [2], the attention is focussed on a 1-dimensional problem, studied in [1], as well as on 3-dimensional one [3]. Then, a comparison between the two dierent cases is considered. Note that both the systems under investigation are nonlinear in the
Integro-differential systems in magneto-viscoelasticity / Carillo, Sandra. - ELETTRONICO. - (2010), pp. 1-1. (Intervento presentato al convegno SIMAI 2010 nel 2010- 25 Giugno).
Integro-differential systems in magneto-viscoelasticity
CARILLO, Sandra
2010
Abstract
The model of a magneto-elastic body, studied by Chipot, Shafrir, Valente and Vergara Caarelli [3], is concerned about the interaction between elastic and magnetic eects. When the deformation behaviour is viscoelastic instead than elastic, the evolution problem is modeled by an integro-dierential systems since a term, nonlocal in time, needs to be introduced. Specically, here, on the basis of results recently obtained [1] and [2], the attention is focussed on a 1-dimensional problem, studied in [1], as well as on 3-dimensional one [3]. Then, a comparison between the two dierent cases is considered. Note that both the systems under investigation are nonlinear in theI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
