无限波导中波动方程的传输问题

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-11-28 DOI:10.1016/j.aml.2024.109405

Reinhard Racke, Shuji Yoshikawa

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引用次数: 0

摘要

我们证明了无限波导中具有不同传播速度的波方程的传输问题解的衰减估计。该问题描述了波在具有不同性质的无界层状复合材料中的传播。它是由CFRP的单胞模型驱动的波导问题和传输问题的新组合。该证明是基于分裂变量，在有界截面上的部分特征函数展开式，以及特征值的显式Weyl型估计。

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A transmission problem for wave equations in infinite waveguides

We prove a decay estimate for solutions to a transmission problem for wave equations with different propagation speeds in an infinite waveguide. The problem represents the wave propagation in unbounded and layered composite materials in which different properties are given. It is a new composition of a waveguide problem and a transmission problem, motivated by a unit cell model for CFRP. The proof is based on splitting variables, partial eigenfunction expansions in the bounded cross section, and on an explicit Weyl type estimate for the eigenvalues.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.