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Thin-layer solutions of the Helmholtz equation

Published online by Cambridge University Press:  06 October 2020

J. R. OCKENDON
Affiliation:
Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK email: [email protected]
R. H. TEW
Affiliation:
School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK email: [email protected]

Abstract

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.

Type
Papers
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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