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The Malyuzhinets-Popov diffraction problem revisited - MaRDI portal

The Malyuzhinets-Popov diffraction problem revisited (Q6048826)

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scientific article; zbMATH DE number 7750132

Language	Label	Description	Also known as
English	The Malyuzhinets-Popov diffraction problem revisited	scientific article; zbMATH DE number 7750132

Statements

scholarly article

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The Malyuzhinets-Popov diffraction problem revisited (English)

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Aleksei P. Kiselev

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publication date

13 October 2023

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full work available at URL

https://arxiv.org/abs/2206.05444

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zbMATH Keywords

high-frequency asymptotics

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non-smooth obstacles

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Helmholtz equation

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boundary-layer method

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MaRDI profile type

MaRDI publication profile

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On the asymptotic behavior of electromagnetic fields scattered from convex cylinders near grazing incidence

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Scattering problem for the Schrödinger equation in the case of a potential linear in time and coordinate. I: Asymptotics in the shadow zone

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The scattering problem for the Schrödinger equation with a potential linear in time and in space. II: Correctness, smoothness, behavior of the solution at infinity

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Contour integral solutions of the parabolic wave equation

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Special function related to the concave convex boundary problem of the diffraction theory

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Whispering gallery waves in a neighborhood of a higher order zero of the curvature of the boundary

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Thin-Layer Solutions of the Helmholtz and Related Equations

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Thin-layer solutions of the Helmholtz equation

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Problem of whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary

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Whispering-gallery waves in a neighborhood of an inflection point of the boundary. Asymptotics of the wave field as t\(\to \infty\)

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Concentration of the solutions near a limit ray in the neighborhood of an inflection point of the boundary

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Searchlight asymptotics for high-frequency scattering by boundary inflection

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Diffraction of creeping waves by a line of jump of curvature (a three-dimensional acoustic medium).

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

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Diffraction at jump of curvature on an impedance boundary

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Diffraction Coefficients for Higher Order Edges and Vertices

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Boundary-layer approach to high-frequency diffraction by a jump of curvature

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ON THE ASYMPTOTIC BEHAVIOR OF THE SPECTRAL CHARACTERISTICS OF EXTERIOR PROBLEMS FOR THE SCHRÖDINGER OPERATOR

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The radiation pattern of a diffracted wavenear the shadow boundary

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Scalar wave diffraction by tangent rays.

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Tangent ray diffraction and the pekeris caret function

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.WAVEMOTI.2023.103172

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Sitelinks

Mathematics(1 entry)

mardi Publication:6048826

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