IDENTIFYING MEMORY KERNELS IN LINEAR THERMOVISCOELASTICITY OF BOLTZMANN TYPE
Cecilia CavaterraDipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via C. Saldini, 50, 20133 Milano, ItalyMaurizio GrasselliDipartimento di Matematica, Politecnico di Milano, Via E. Bonardi, 9, 20133 Milano, Italy
1994en
ABI
Abstract
The evolution of the displacement u and the temperature ϑ in a three-dimensional, linear, thermoviscoelastic material of Boltzmann type is governed by a system of two coupled Volterra integrodifferential equations. The damping mechanism is characterized by some time-dependent memory kernels which are a priori unknown. These kernels are identified via measurements of boundary tractions and localized temperatures, provided that the pair (u, ϑ) solves a suitable initial and boundary value problem for the evolution system.
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