Well-posedness and exponential stability for the von K\'arm\'an systems with second sound
Eurasian journal of mathematical and computer applications, Tome 7 (2019) no. 4, pp. 52-65.

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In this work we consider a one-dimensional full von Kármán 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 Kármán beam, second sound.
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D. Hanni; A. Djebabla; N.Tatar. Well-posedness and exponential stability for the von K\'arm\'an systems with second sound. Eurasian journal of mathematical and computer applications, Tome 7 (2019) no. 4, pp. 52-65. http://geodesic.mathdoc.fr/item/EJMCA_2019_7_4_a3/