Stabilization of coupled thermoelastic Kirchhoff plate and wave equations
Date
2020-12-16
Authors
Mansouri, Sabeur
Tebou, Louis
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider a coupled system consisting of a Kirchhoff thermoelastic plate and an undamped wave equation. It is known that the Kirchhoff thermoelastic plate is exponentially stable. The coupling is weak. First, we show that the coupled system is not exponentially stable. Afterwards, we prove that the coupled system is polynomially stable, and provide an explicit polynomial decay rate of the associated semigroup. Our proof relies on a combination of the frequency domain method and the multipliers technique.
Description
Keywords
Kirchhoff thermoelastic plate, Wave equation, Stabilization, Weakly coupled equations, Frequency domain method, Multipliers technique
Citation
Mansouri, S., & Tebou, L. (2020). Stabilization of coupled thermoelastic Kirchhoff plate and wave equations. <i>Electronic Journal of Differential Equations, 2020</i>(121), pp. 1-16.
Rights
Attribution 4.0 International