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

Zlobina, E.; Kiselev, A.

doi:10.1090/spmj/1697

Short wave diffraction on a contour with a Hölder singularity of the curvature
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by E. A. Zlobina and A. P. Kiselev
Translated by: S. V. Kislyakov

St. Petersburg Math. J. 33 (2022), 207-222

DOI: https://doi.org/10.1090/spmj/1697

Published electronically: March 4, 2022

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Abstract:

Formulas are constructed for the short-wave asymptotics in the problem of diffraction of a plane wave on a contour with continuous curvature that is smooth everywhere except for one point near which it has a power-like behavior. The wave field is described in the boundary layers surrounding the singular point of the contour and the limit ray. An expression for the diffracted wave is found.

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