Stability for Degenerate Wave Equations with Drift Under Simultaneous Degenerate Damping

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2024Embargo end date: 01 Jan 2023 Italy Publisher:Elsevier BVJournal:Journal of Differential Equations, volume 416, pages 1,178-1,221 (issn: 0022-0396,

Copyright policy )Funded by:FCT | H21

Authors: Mohammad Akil; Genni Fragnelli; Ibtissam Issa;

doi: 10.2139/ssrn.4687541 , 10.1016/j.jde.2024.10.022 , 10.48550/arxiv.2308.08645

arXiv: 2308.08645

handle: 11365/1276394 , 11697/245601

Stability for Degenerate Wave Equations with Drift Under Simultaneous Degenerate Damping

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Abstract

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.

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Italy

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Keywords

Degenerate wave equation, Degenerate damping, Drift, Exponential stability, Drift, Control/observation systems governed by partial differential equations, exponential stability, drift, Degenerate wave equation, Exponential stability, 510, Mathematics - Analysis of PDEs, Degenerate hyperbolic equations, degenerate wave equation, degenerate damping, FOS: Mathematics, Wave equation, Degenerate damping, Analysis of PDEs (math.AP)

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