Short wave diffraction on a contour with a Hölder singularity of the curvature

DOI10.1090/SPMJ/1697zbMath1485.35167OpenAlexW4214870238MaRDI QIDQ5064489

Aleksei P. Kiselev, E. A. Zlobina

Publication date: 16 March 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1697

zbMATH Keywords

boundary layer methodshort-wave diffractionnonsmooth obstacles

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Wave equation (35L05)

Related Items (2)

The Malyuzhinets-Popov diffraction problem revisited ⋮ Short-wavelength diffraction by a contour with nonsmooth curvature. Boundary layer approach

Cites Work

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• The high‐frequency asymptotic field of a point source in an inhomogeneous medium
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• Diffraction of creeping waves by a line of jump of curvature (a three-dimensional acoustic medium).

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