Well-posedness results for a model of damage in thermoviscoelastic materials
E. Bonetti, Giovanna Bonfanti · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2008
This paper deals with a phase transitions model describing the evolution of damage in thermoviscoelastic materials. The resulting system is highly non-linear, mainly due to the presence of quadratic dissipative terms and non-smooth constraints on the variables. Existence and uniqueness of a solution are proved, as well as regularity results, on a suitable finite time interval.