Well-posedness and exponential decay for a laminated beam with distributed delay term

"In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional laminated beam system with a distributed delay term in the first equation, where the heat conduction is given by Fourier's law efective in the rotation angle displacements. We first give the well-p...

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Veröffentlicht in:Studia Universitatis Babeș-Bolyai. Mathematica 2022, Vol.67 (3), p.545-562
Hauptverfasser: Douib, Madani, Zitouni, Salah, Djebabla, Abdelhak
Format: Artikel
Sprache:eng
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Zusammenfassung:"In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional laminated beam system with a distributed delay term in the first equation, where the heat conduction is given by Fourier's law efective in the rotation angle displacements. We first give the well-posedness of the system by using the semigroup method. Then, we show that the system is exponentially stable under the assumption of equal wave speeds."
ISSN:0252-1938
2065-961X
DOI:10.24193/subbmath.2022.3.07