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A transmission problem for wave equations in infinite waveguides

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2025

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Applied Mathematics Letters. Elsevier. 2025, 163, 109405. ISSN 0893-9659. eISSN 1873-5452. Verfügbar unter: doi: 10.1016/j.aml.2024.109405

Zusammenfassung

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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510 Mathematik

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ISO 690RACKE, Reinhard, Shuji YOSHIKAWA, 2025. A transmission problem for wave equations in infinite waveguides. In: Applied Mathematics Letters. Elsevier. 2025, 163, 109405. ISSN 0893-9659. eISSN 1873-5452. Verfügbar unter: doi: 10.1016/j.aml.2024.109405
BibTex
@article{Racke2025-04trans-71741,
  year={2025},
  doi={10.1016/j.aml.2024.109405},
  title={A transmission problem for wave equations in infinite waveguides},
  volume={163},
  issn={0893-9659},
  journal={Applied Mathematics Letters},
  author={Racke, Reinhard and Yoshikawa, Shuji},
  note={Article Number: 109405}
}
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