The Weyl-Van der Pol phenomenon in acoustic diffraction by a wedge or a cone with impedance boundary conditions

DOI10.1007/s10958-017-3399-zzbMath1394.35144OpenAlexW2616813279MaRDI QIDQ1708315

Mikhail A. Lyalinov

Publication date: 5 April 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3399-z

zbMATH Keywords

acoustic diffractionWeyl-Van der Pol formula

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Scattering of an acoustic axially symmetric surface wave propagating to the vertex of a right-circular impedance cone
• On the PC-ansatz
• Quantal phase factors accompanying adiabatic changes
• Sound propagation along an impedance plane
• Uniform asymptotic expansions of integrals with stationary point near algebraic singularity
• Diffraction of scalar waves by an impedance cone of arbitrary cross-section.

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