Title
Exponential decay for a von Kármán system with memory
Date Issued
01 January 2004
Access level
metadata only access
Resource Type
journal article
Publisher(s)
Khayyam Publishing, Inc.
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.
Start page
1115
End page
1142
Volume
9
Issue
October 9
Language
English
OCDE Knowledge area
Matemáticas aplicadas Ingeniería de materiales
Scopus EID
2-s2.0-84894301483
Source
Advances in Differential Equations
ISSN of the container
10799389
Sources of information: Directorio de Producción Científica Scopus