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arXiv · 2308.08645

Stability for degenerate wave equations with drift under simultaneous degenerate damping

Mohammad Akil·Genni Fragnelli·Ibtissam Issa
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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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Mohammad Akil, Genni Fragnelli, Ibtissam Issa. 2023-08-16. Stability for degenerate wave equations with drift under simultaneous degenerate damping. https://arxiv.org/abs/2308.08645

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