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arXiv · 2311.16296

Energy decay rate of a transmission system governed by degenerate wave equation with drift and under heat conduction with memory effect

Mohammad Akil·Genni Fragnelli·Ibtissam Issa
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Abstract

In this paper, we investigate the stabilization of transmission problem of degenerate wave equation and heat equation under Coleman-Gurtin heat conduction law or Gurtin-Pipkin law with memory effect. We investigate the polynomial stability of this system when employing the Coleman-Gurtin heat conduction, establishing a decay rate of type $t^{-4}$. Next, we demonstrate exponential stability in the case when Gurtin-Pipkin heat conduction is applied.

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Mohammad Akil, Genni Fragnelli, Ibtissam Issa. 2023-11-27. Energy decay rate of a transmission system governed by degenerate wave equation with drift and under heat conduction with memory effect. https://arxiv.org/abs/2311.16296

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