Article ID Journal Published Year Pages File Type
4604615 Annales de l'Institut Henri Poincare (C) Non Linear Analysis 2008 22 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis