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Titlebook: Stationary Diffraction by Wedges; Method of Automorphi Alexander Komech,Anatoli Merzon Book 2019 Springer Nature Switzerland AG 2019 Automo

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发表于 2025-3-21 18:35:42 | 显示全部楼层 |阅读模式
书目名称Stationary Diffraction by Wedges
副标题Method of Automorphi
编辑Alexander Komech,Anatoli Merzon
视频video
概述Gives a brief, accessible, modern review of the history of the development of the mathematical theory of diffraction.Covers techniques applicable to a wide range of problems.Provides a detailed and we
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Stationary Diffraction by Wedges; Method of Automorphi Alexander Komech,Anatoli Merzon Book 2019 Springer Nature Switzerland AG 2019 Automo
描述.This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators. This method turns out to be applicable to many different areas of mathematical physics, in particular to diffraction problems in angles and to the study of trapped modes on a sloping beach. ..Giving the reader the opportunity to master the techniques of the modern theory of diffraction, the book introduces methods of distributions, complex Fourier transforms, pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann–Hilbert problem...The book will be useful for students, postgraduates and specialists interested in the application of modern mathematics to wave propagation and diffraction problems..
出版日期Book 2019
关键词Automorphic Functions; Boundary Value Problem; Complex Fourier Transform; Diffraction; Distributions; Ell
版次1
doihttps://doi.org/10.1007/978-3-030-26699-8
isbn_softcover978-3-030-26698-1
isbn_ebook978-3-030-26699-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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发表于 2025-3-21 22:45:10 | 显示全部楼层
Introduction,rp edges of the wings and never catch the reflected waves from smooth surfaces. The diffraction by wedges is described by boundary value problems in angles with various boundary conditions. Similar problems also arise in guided water waves on sloping beach, in scattering of seismic waves, etc.
发表于 2025-3-22 00:55:07 | 显示全部楼层
Stationary Boundary Value Problems in Convex Anglesll solutions from the space of tempered distributions to stationary problems of the type (.) in angles .. In Chaps. 7–. we consider convex angles of magnitude . < ., and in Sect. . we give necessary modifications for nonconvex angles with . > ..
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Lifting to the Universal Coveringy visible in appropriate coordinates on the Riemann surface. . We will use the global coordinates on the universal covering surface . of . , which give the . of the Riemann surface. These coordinates were introduced in Komech (Math USSR Sbornik 21(1):91–135, 1973) for general strongly elliptic secon
发表于 2025-3-22 14:10:15 | 显示全部楼层
Book 2019coefficients and arbitrary boundary operators. This method turns out to be applicable to many different areas of mathematical physics, in particular to diffraction problems in angles and to the study of trapped modes on a sloping beach. ..Giving the reader the opportunity to master the techniques of
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Fresnel–Kirchhoff Diffraction TheoryIn this chapter we present the Fresnel theory of diffraction and its justification and improvement by Kirchhoff. In particular, we reproduce the calculation of the diffraction by the half-plane in the Fresnel-Kirchhoff theory.
发表于 2025-3-23 06:13:57 | 显示全部楼层
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