Encyclopedia of Thermal Stresses

2014 Edition
| Editors: Richard B. Hetnarski

Asymptotic Behavior in Time

  • Maria Grazia Naso
Reference work entry
DOI: https://doi.org/10.1007/978-94-007-2739-7_531



We are interested to study the longtime behavior for a linear one-dimensional thermoelastic system where the hyperbolic elastic system is joined with the parabolic heat equation. By some results in semigroup theory, we prove the exponential decay of the solutions related to the associated initial boundary value problem. For a detailed study in more general cases, some references are given at the end of this section.

A Simple Model in Thermoelasticity

The One-Dimensional Linear Thermoelastic System

For \( T\,> 0 \)
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Further Reading

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© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Università degli Studi di BresciaBresciaItaly