Well-posedness and exponential decay for a laminated beam with distributed delay term
DOI:
https://doi.org/10.24193/subbmath.2022.3.07Keywords:
Laminated beam, Fourier’s law, distributed delay term, well-posedness, exponential decay.Abstract
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 effective 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.
Mathematics Subject Classification (2010): 35B40, 35L56, 74F05, 93D20.
Received 12 November 2019; Accepted 27 December 2019.
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