Stability for degenerate wave equations with drift under simultaneous degenerate damping

In this paper we study the stability of two different problems. The first one is a one-dimensional degenerate wave equation with degenerate damping, incorporating a drift term and a leading operator in non-divergence form. In the second problem we consider a system that couples degenerate and non-de...

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Bibliographic Details
Published inJournal of Differential Equations Vol. 416; pp. 1178 - 1221
Main Authors Akil, Mohammad, Fragnelli, Genni, Issa, Ibtissam
Format Journal Article
LanguageEnglish
Published Elsevier Inc 25.01.2025
Subjects
Degenerate damping
Degenerate wave equation
Drift
Exponential stability
Degenerate wave equation
Drift
Exponential stability
Degenerate damping
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ISSN0022-0396
DOI10.1016/j.jde.2024.10.022

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Summary:In this paper we study the stability of two different problems. The first one is a one-dimensional degenerate wave equation with degenerate damping, incorporating a drift term and a leading operator in non-divergence form. In the second problem we consider a system that couples degenerate and non-degenerate wave equations, connected through transmission, and subject to a single dissipation law at the boundary of the non-degenerate equation. In both scenarios, we derive exponential stability results.
ISSN:0022-0396
DOI:10.1016/j.jde.2024.10.022