Data di Pubblicazione:
2003
Citazione:
Existence and uniqueness of the solution to a 3D thermoviscoelastic system / E. Bonetti, G. Bonfanti. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - (2003), pp. 50.1-50.15.
Abstract:
This paper presents results on existence and uniqueness of solutions to a three-dimensional thermoviscoelastic system. The constitutive relations of the model are recovered by a free energy functional and a pseudopotential of dissipation. Using a fixed point argument, combined with an a priori estimates-passage to the limit technique, we prove a local existence result for a related initial and boundary values problem. Hence, uniqueness of the solution is proved on the whole time interval, as well as positivity of the absolute temperature.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
3D thermoviscoelastic system; thermomechanical modelling; nonlinear PDE's system; existence and uniqueness results
Elenco autori:
E. Bonetti, G. Bonfanti
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