Abstract and Applied Analysis
Volume 2005 (2005), Issue 2, Pages 105-120

Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system

Elena Bonetti1 and Giovanna Bonfanti2

1Dipartimento di Matematica, Università degli Studi di Pavia, via Ferrata 1, Pavia 27100, Italy
2Dipartimento di Matematica, Università degli Studi di Brescia, via Branze 38, Brescia 25123, Italy

Received 24 April 2004

Copyright © 2005 Elena Bonetti and Giovanna Bonfanti. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We have investigated a dynamic thermoviscoelastic system (2003), establishing existence and uniqueness results for a related initial and boundary values problem. The aim of the present paper is to study the asymptotic behavior of the solution to the above problem as the power of the acceleration forces goes to zero. In particular, well-posedness and regularity results for the limit (quasistatic) problem are recovered.