具有Hölder曲率奇点的等值线上的短波衍射

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2022-03-04 DOI:10.1090/spmj/1697

E. Zlobina, A. Kiselev

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引用次数: 4

摘要

构造了平面波在具有连续曲率的轮廓上衍射问题中的短波渐近线的公式，该轮廓除了在其附近具有幂函数行为的一点之外，在任何地方都是平滑的。在轮廓奇异点和极限射线周围的边界层中描述了波场。得到了衍射波的表达式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.