具有声学边界条件的无限记忆粘弹性波动方程耦合系统的一般衰减

2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI) Pub Date : 2021-09-21 DOI:10.1109/ICRAMI52622.2021.9585955

Abdelaziz Limam, B. Benabderrahmane, Y. Boukhatem

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摘要

研究了具有无限记忆的粘弹性波动方程耦合系统。我们的系统与声学边界条件耦合。在松弛函数的一个非常一般的假设下，我们建立了一个均匀的衰减率。这项工作大大改进了声学边界条件下的早期结果。

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General Decay for a Coupled System of Viscoelastic Wave Equation of Infinite Memory with Acoustic Boundary Conditions

A coupled system of viscoelastic wave equation of infinite memory is considered. Our system is coupled with the acoustic boundary conditions. Under a very general assumption on the relaxation function, we establish a uniform decay rate. This work substantially improves the earlier results in cases of acoustic boundary conditions.

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2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)

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