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Time decay in dual-phase-lag thermoelasticity: critical case 

Autor
Liu, Z.; Quintanilla, R.
Tipus d'activitat
Article en revista
Revista
Communications on pure and applied analysis
Data de publicació
2018-01-01
Volum
17
Número
1
Pàgina inicial
177
Pàgina final
190
DOI
https://doi.org/10.3934/cpaa.2018011 Obrir en finestra nova
Projecte finançador
Analisis matemàtico de problemas de la termomecánica
Análisis matemático de las ecuaciones en derivadas parciales de la termomecánica
Repositori
http://hdl.handle.net/2117/108915 Obrir en finestra nova
URL
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14564 Obrir en finestra nova
Resum
This note is devoted to the study of the time decay of the onedimensional dual-phase-lag thermoelasticity. In this theory two delay parameters tq and t¿ are proposed. It is known that the system is exponentially stable if tq < 2t¿ [22]. We here make two new contributions to this problem. First, we prove the polynomial stability in the case that tq = 2t¿ as well the optimality of this decay rate. Second, we prove that the exponential stability remains true even if the inequality only holds in ...
Citació
Liu, Z., Quintanilla, R. Time decay in dual-phase-lag thermoelasticity: critical case . "Communications on pure and applied analysis", 1 Gener 2018, vol. 17, núm. 1, p. 177-190.
Paraules clau
Exponential stability., Phase-lag, Polynomial stability, thermoelasticity
Grup de recerca
GRAA - Grup de Recerca en Anàlisi Aplicada

Participants