Exponential decay for a von Kármán system with memory

Yolanda S.Santiago Ayala, Jaime E.Muñoz Rivera

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

Resumen

In this paper we consider the Von Kármán system with thermal effect. The constitutive assumptions we use for the propagation of temperature were proposed by Gurtin and Pipkin. In this case the heat conduction is independent of the present values of the temperature gradient. We show that the corresponding nonlinear system is globally well posed. Moreover, when the relaxation function which characterizes the memory effect on the temperature decays exponentially, then we show that the solution of the system also decays exponentially.
Idioma originalInglés estadounidense
Páginas (desde-hasta)1115-1142
Número de páginas28
PublicaciónAdvances in Differential Equations
EstadoPublicada - 1 dic. 2004

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