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

Synonyms

Overview

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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  5. Bonfanti G, Muñoz Rivera JE, Naso MG (2008) Global existence and exponential stability for a contact problem between two thermoelastic beams. J Math Anal Appl 345(1):186–202zbMATHGoogle Scholar
  6. Bonfanti G, Fabrizio M, Muñoz Rivera JE, Naso MG (2010) On the energy decay for a thermoelastic contact problem involving heat transfer. J Therm Stress 33(11):1049–1065Google Scholar
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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Università degli Studi di BresciaBresciaItaly