Integro-dierential model problems arise in viscoelasticity. Here, some existence, and, possibly uniqueness, results recently obtained in joint work with V. Valente and G. Vergara Caarelli, in the case, in turn, of a magneto-viscoelasticity problem [3], [4], or of a singular viscoelasticity problem [5] are considered. The connection between analytic results and the choice of suitable free energies is pointed out. Furthermore, the problem of the choice of the free energy, studied in various dierent physical models, in joint work with G. Amendola and A. Manes [1,2], is also considered. In particular, free energies in viscoelastic solids and uids, [2], are also mentioned emphasizing their analytical implications as far as asymptotic behaviour of solutions is concerned.
Some Existence and Uniqueness Results in Viscoelasticity: Connections with Free Energies / Carillo, Sandra. - ELETTRONICO. - (2012), pp. 161-161. (Intervento presentato al convegno SIMAI 2012 tenutosi a TORINO nel 25 - 28 Giugno 2012).
Some Existence and Uniqueness Results in Viscoelasticity: Connections with Free Energies
CARILLO, Sandra
Primo
2012
Abstract
Integro-dierential model problems arise in viscoelasticity. Here, some existence, and, possibly uniqueness, results recently obtained in joint work with V. Valente and G. Vergara Caarelli, in the case, in turn, of a magneto-viscoelasticity problem [3], [4], or of a singular viscoelasticity problem [5] are considered. The connection between analytic results and the choice of suitable free energies is pointed out. Furthermore, the problem of the choice of the free energy, studied in various dierent physical models, in joint work with G. Amendola and A. Manes [1,2], is also considered. In particular, free energies in viscoelastic solids and uids, [2], are also mentioned emphasizing their analytical implications as far as asymptotic behaviour of solutions is concerned.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.