Short-wavelength diffraction by a contour with nonsmooth curvature. Boundary layer approach

DOI10.1007/s10958-023-06865-5OpenAlexW4390009054MaRDI QIDQ6145436

E. A. Zlobina

Publication date: 2 February 2024

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

Full work available at URL: https://doi.org/10.1007/s10958-023-06865-5

zbMATH Keywords

Helmholtz equationshort-wave length diffraction

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Some special solutions of the Helmholtz equation
• Diffraction at jump of curvature on an impedance boundary
• Reflection of a wave from a boundary composed of arcs of variable curvature
• Boundary-layer approach to high-frequency diffraction by a jump of curvature
• Short wave diffraction on a contour with a Hölder singularity of the curvature
• Diffraction Coefficients for Higher Order Edges and Vertices
• Diffraction of creeping waves by a line of jump of curvature (a three-dimensional acoustic medium).

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