TY - JOUR
T1 - Exponential decay for a von Kármán system with memory
AU - Ayala, Yolanda S.Santiago
AU - Rivera, Jaime E.Muñoz
PY - 2004/12/1
Y1 - 2004/12/1
N2 - 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.
AB - 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.
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84894301483&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84894301483&origin=inward
M3 - Article
SN - 1079-9389
SP - 1115
EP - 1142
JO - Advances in Differential Equations
JF - Advances in Differential Equations
ER -