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A transmission problem for wave equations in infinite waveguides

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2024

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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, 2024. A transmission problem for wave equations in infinite waveguides
BibTex
@techreport{Racke2024trans-70808,
  year={2024},
  series={Konstanzer Schriften in Mathematik},
  title={A transmission problem for wave equations in infinite waveguides},
  number={412},
  author={Racke, Reinhard and Yoshikawa, Shuji}
}
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