A transmission problem for wave equations in infinite waveguides

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dc.contributor.authorRacke, Reinhard
dc.contributor.authorYoshikawa, Shuji
dc.date.accessioned2024-09-18T07:41:56Z
dc.date.available2024-09-18T07:41:56Z
dc.date.issued2024
dc.description.abstractWe 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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dc.identifier.ppn1902817656
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dc.titleA transmission problem for wave equations in infinite waveguideseng
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@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}
}
kops.citation.iso690RACKE, Reinhard, Shuji YOSHIKAWA, 2024. A transmission problem for wave equations in infinite waveguidesdeu
kops.citation.iso690RACKE, Reinhard, Shuji YOSHIKAWA, 2024. A transmission problem for wave equations in infinite waveguideseng
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