Abstract and Applied Analysis
Volume 2005 (2005), Issue 2, Pages 105-120
doi:10.1155/AAA.2005.105
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
Abstract
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.