Thin-layer solutions of the Helmholtz equation

Thin-layer solutions of the Helmholtz equation

This paper gives a brief overview of some configurations in which high-frequency wave propagation modelled by Helmholtz equation gives rise to solutions that vary rapidly across thin layers. The configurations are grouped according to their mathematical structure and tractability and one of them con...

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Veröffentlicht in:European journal of applied mathematics 2021-10, Vol.32 (5), p.769-783
Hauptverfasser: OCKENDON, J. R., TEW, R. H.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Configurations
Helmholtz equations
Thin films
Wave propagation
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Beschreibung
Zusammenfassung:This paper gives a brief overview of some configurations in which high-frequency wave propagation modelled by Helmholtz equation gives rise to solutions that vary rapidly across thin layers. The configurations are grouped according to their mathematical structure and tractability and one of them concerns a famous open problem of mathematical physics.
ISSN:0956-7925
1469-4425
DOI:10.1017/S0956792520000364