Exponential decay in a thermoelastic mixture of solids

• Autor(es): Alves, M .S. ; Rivera, J. E. Muñoz ; Quintanilla, R.
• Data: 2018
• Origem: Oasisbr
• Assunto(s): Thermoelastic mixtures; Exponential decay; Weakly coupled system
• Tipo de Documento: Artigo científico
• Idioma: Inglês

Descrição

In this paper, we investigate the asymptotic behaviour of solutions to the initial boundary value problem for a one-dimensional mixture of thermoelastic solids. Our main result is to establish a necessary and sufficient condition over the coefficients of the system to get the exponential stability of the corresponding semigroup. We also prove the impossibility of time localization of solutions.