EXISTENCE OF SOLUTIONS OF THE EQUATIONS OF INCREMENTAL THERMOELASTICITY FOR UNBOUNDED DOMAINS
F. Bofill, F. Martínez, Ramón Quintanilla · Journal of Thermal Stresses · 1995
Existence, uniqueness, and continuous dependence of solutions to the evolution equations that govern small thermoelastic deformations superposed on a general nonlinear thermomechanical deformation with nonuniform temperature is obtained. In our case, the domain occupied by the body may be unbounded and the elasticity tensor may be strongly elliptic. The problem is solved by means of the semigroup theory.