非线性阻尼波方程系统的新能量衰减

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik Pub Date : 2024-01-10 DOI:10.1002/zamm.202200442

Xiangyu Zhu, Menglan Liao

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摘要

本文考虑了一个非线性阻尼波方程系统。均匀能量衰减在前人的研究（Discrete Contin.Dyn.Syst.S, 2 (2009) 583-608) 中讨论过空间维数为 3 时的均匀能量衰减问题。例如，还提出了对数能量衰减。

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New energy decay for a nonlinearly damped system of wave equations

In this paper, a nonlinearly damped system of wave equations is considered. Uniform energy decay was discussed in the previous work (Discrete Contin. Dyn. Syst. Ser. S, 2 (2009) 583–608) for if the space dimension is 3. New energy decay is proposed for by choosing appropriate multiplier related to a non‐increasing differential function. As an example, a logarithmic energy decay is also presented.

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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

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