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
Main Authors Akil, Mohammad, Fragnelli, Genni, Issa, Ibtissam
Format Journal Article
LanguageEnglish
Published 16.08.2023
Subjects
Mathematics - Analysis of PDEs
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DOI10.48550/arxiv.2308.08645

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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.
DOI:10.48550/arxiv.2308.08645