Stability for degenerate wave equations with drift under simultaneous degenerate damping
Analysis of PDEs
2023-11-17 v3
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.
Keywords
Cite
@article{arxiv.2308.08645,
title = {Stability for degenerate wave equations with drift under simultaneous degenerate damping},
author = {Mohammad Akil and Genni Fragnelli and Ibtissam Issa},
journal= {arXiv preprint arXiv:2308.08645},
year = {2023}
}