Exponential decay for a von Kármán system with memory

Yolanda S.Santiago Ayala, Jaime E.Muñoz Rivera

Research output: Contribution to journalArticle

Abstract

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.
Original languageAmerican English
Pages (from-to)1115-1142
Number of pages28
JournalAdvances in Differential Equations
StatePublished - 1 Dec 2004

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