A transmission problem for wave equations in infinite waveguides

被引：0
|
作者：
Racke, Reinhard [1 ]
Yoshikawa, Shuji [2 ]
机构：
[1] Univ Konstanz, Dept Math & Stat, D-78457 Constance, Germany
[2] Oita Univ, Fac Sci & Technol, Div Math Sci, 700 Dannoharu, Oita 8701192, Japan
来源：
APPLIED MATHEMATICS LETTERS | 2025年 / 163卷
关键词：
Waveguide; Transmission problem; Decay estimate; Wave equation; Composite materials;
D O I：
10.1016/j.aml.2024.109405
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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