Spatial Behavior in Linear Theory of Thermoviscoelasticity with Voids (original) (raw)

This work focuses on the spatial behavior of solutions to the initial boundary value problem in the linear theory of thermoviscoelastic materials with voids. The study employs the time-weighted surface power function method to establish decay estimates of Saint-Venant type for bounded bodies and alternatives of Phragmén-Lindelöf type for unbounded bodies. The findings include a comprehensive description of the spatial behavior characterized by independent and time-dependent decay and growth rates.