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
Record number
2602388
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