In this paper we study a thermoelastic material with an internal structure which binds the materials fibres to a quadratic behaviour. Moreover, a hereditary constitutive law for heat flux is supposed. We prove results of asymptotic stability and exponential decay for the evolution problem in two-dimensional space domain.
M. Fabrizio, B. Lazzari, J. M. Rivera (2007). Asymptotic behaviour for a two-dimensional thermoelastic model. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 30, 549-566 [10.1002/mma.798].
Asymptotic behaviour for a two-dimensional thermoelastic model
FABRIZIO, MAURO;LAZZARI, BARBARA;
2007
Abstract
In this paper we study a thermoelastic material with an internal structure which binds the materials fibres to a quadratic behaviour. Moreover, a hereditary constitutive law for heat flux is supposed. We prove results of asymptotic stability and exponential decay for the evolution problem in two-dimensional space domain.File in questo prodotto:
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