Version 1
: Received: 7 January 2018 / Approved: 16 January 2018 / Online: 16 January 2018 (04:39:34 CET)
How to cite:
Luan, Y.; Liu, W.; Li, G. Well-Posedness and Asymptotic Stability to a Laminated Beam in Thermoelasticity of Type III. Preprints2018, 2018010130. https://doi.org/10.20944/preprints201801.0130.v1
Luan, Y.; Liu, W.; Li, G. Well-Posedness and Asymptotic Stability to a Laminated Beam in Thermoelasticity of Type III. Preprints 2018, 2018010130. https://doi.org/10.20944/preprints201801.0130.v1
Luan, Y.; Liu, W.; Li, G. Well-Posedness and Asymptotic Stability to a Laminated Beam in Thermoelasticity of Type III. Preprints2018, 2018010130. https://doi.org/10.20944/preprints201801.0130.v1
APA Style
Luan, Y., Liu, W., & Li, G. (2018). Well-Posedness and Asymptotic Stability to a Laminated Beam in Thermoelasticity of Type III. Preprints. https://doi.org/10.20944/preprints201801.0130.v1
Chicago/Turabian Style
Luan, Y., Wenjun Liu and Gang Li. 2018 "Well-Posedness and Asymptotic Stability to a Laminated Beam in Thermoelasticity of Type III" Preprints. https://doi.org/10.20944/preprints201801.0130.v1
Abstract
In this paper, we study the well-posedness and asymptotic behaviour of solutions to a laminated beam in thermoelasticity of type III. 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. Furthermore, it is proved that the system is lack of exponential stability for case of nonequal wave speeds. In this regard, a polynomial stability result is proved.
Keywords
laminated beam; thermoelasticity of type III; exponential decay; polynomial decay
Subject
Computer Science and Mathematics, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
