Decay of solutions in nonsimple thermoelastic bars

• Published in: International journal of engineering science Vol. 48; no. 11; pp. 1233 - 1241
• Main Authors: Fernández Sare, Hugo D., Muñoz Rivera, Jaime E., Quintanilla, Ramón
• Format: Journal Article Publication
• Language: English
• Published: Kidlington Elsevier Ltd 01.11.2010; Elsevier
• Subjects: Analyticity; Asymptotic properties; Bars; Boundary value problems; Decay; Elasticitat; Exact sciences and technology; Exponential decay; Fundamental areas of phenomenology (including applications); Localization; Localization of solutions; Matemàtica aplicada a les ciències; Matemàtiques i estadística; Mathematical analysis; Mathematical models; Models matemàtics; Nonsimple thermoelastic bars; Physics; Position (location); Solid mechanics; Solids; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Sòlids; Thermoelasticity; Àrees temàtiques de la UPC; Nonsimple thermoelastic bars; Localization of solutions; Analyticity; Exponential decay; Initial value problem; Thermomechanical properties; Semigroup; Exponential stability; Modeling; Boundary value problem; Solution decay; Thermoelasticity; Asymptotic approximation
• ISSN: 0020-7225; 1879-2197
• DOI: 10.1016/j.ijengsci.2010.04.014

In this paper we investigate the asymptotic behavior of the semigroup associated to the solutions of the initial boundary value problem for a one-dimensional nonsimple thermoelastic solids. We show that the semigroup is exponentially stable but is not analytic. Moreover we show the impossibility of time localization of the solutions.