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

2023/11/27 by Akil, Mohammad, Fragnelli, Genni, Issa, Ibtissam
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.16296

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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