Title of article :
WELL-POSEDNESS an‎d EXPONENTIAL STABILITY FOR THE VON KARM ́ AN SYSTEMS WITH SECOND SOUND
Author/Authors :
Hanni, D. Laboratory of Applied Mathematics - Badji Mokhtar university, Annaba, Algeria , Djebabla, A. Laboratory of Applied Mathematics - Badji Mokhtar university, Annaba, Algeria , Tatar, N. King Fahd University of Petroleum and Minerals - Department of Mathematics and Statistics, Dhahran, Saudi Arabia
Pages :
14
From page :
52
To page :
65
Abstract :
In this work we consider a one-dimensional full von K ́arm ́an system coupled to a heat equation modeling an expectedly dissipative effect through heat conduction controlled by Cattaneo’s law. We prove the well-posedness as well as an exponential stability result of the system.
Keywords :
Stability , full von K ́arm ́an beam , second sound
Journal title :
Eurasian Journal of Mathematical and Computer Applications
Serial Year :
2019
Full Text URL :
Record number :
2602388
Link To Document :
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