一维傅里叶热传导波动方程耦合系统的稳定性结果

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2025-04-11 DOI:10.1007/s11565-025-00591-3

Hizia Bounadja, Oumkeltoum Benhamouda, Salim Messaoudi

引用次数: 0

摘要

在这项工作中，我们考虑在一维域中只有一个热效应的两个波动方程的耦合系统。利用半群理论给出了系统的适定性，并通过构造适当的Lyapunov函数证明了系统的解是多项式衰减的。

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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A stability result of a one-dimensional coupled system of wave equations with Fourier heat conduction

In this work, we consider a coupled system of two wave equations with only one thermal effect in a one-dimensional domain. We give the well-posedness using the semigroup theory and show that the solution of the system decays polynomially by constructing an appropriate Lyapunov function.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.