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Eurasian Journal of Mathematical and Computer Applications, 2019, Volume 7, Issue 4, Pages 52–65
DOI: https://doi.org/10.32523/2306-6172-2019-7-4-52-65 (Mi ejmca143) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Well-posedness and exponential stability for the von Kármán systems with second sound

D. Hannia, A. Djebablaa, N.Tatarb

a Laboratory of Applied Mathematics, Badji Mokhtar university P.O. Box 12 23000 Annaba, Algeria
b King Fahd University of Petroleum and Minerals Department of Mathematics and Statistics, Dhahran 31261, Saudi Arabia
Full-text PDF (392 kB) Citations (2)
DOI: https://doi.org/10.32523/2306-6172-2019-7-4-52-65
Abstract: 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.
Funding agency Grant number
King Fahd University of Petroleum and Minerals
Financial support provided by King Fahd University of Petroleum and Minerals.
Bibliographic databases:
Document Type: Article
MSC: 49K20, 70K20.
Language: English
Citation: D. Hanni, A. Djebabla, N.Tatar, “Well-posedness and exponential stability for the von Kármán systems with second sound”, Eurasian Journal of Mathematical and Computer Applications, 7:4 (2019), 52–65
Citation in format AMSBIB
\Bibitem{HanDjeTat19}
\by D.~Hanni, A.~Djebabla, N.Tatar
\paper Well-posedness and exponential stability for the von K\'arm\'an systems with second sound
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2019
\vol 7
\issue 4
\pages 52--65
\mathnet{http://mi.mathnet.ru/ejmca143}
\crossref{https://doi.org/10.32523/2306-6172-2019-7-4-52-65}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85081073618}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Eurasian Journal of Mathematical and Computer Applications
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