具有漂移的退化波方程在同步退化阻尼下的稳定性

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-10-22 DOI:10.1016/j.jde.2024.10.022

Mohammad Akil , Genni Fragnelli , Ibtissam Issa

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引用次数: 0

摘要

本文研究了两个不同问题的稳定性。第一个问题是一个具有退化阻尼的一维退化波方程，包含一个漂移项和一个非发散形式的前导算子。在第二个问题中，我们考虑了一个耦合退化波方程和非退化波方程的系统，该系统通过传输连接，并在非退化方程的边界受制于单一耗散定律。在这两种情况下，我们都得出了指数稳定性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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-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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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics