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On local singularities of physical fields in wave propagation problems.

Bibliographic Details
Title: On local singularities of physical fields in wave propagation problems.
Authors: Gorodetska, N. S.1 (AUTHOR) nsgihm@gmail.com, Nikishov, V. I. (AUTHOR)
Source: International Applied Mechanics. Sep2026, p1-14. 14p.
Subject Terms: *Boundary value problems, *Mathematical singularities, *Elastic wave propagation, *Scattering (Physics), *Theory of wave motion, *Asymptotic expansions
Abstract: A method is developed for solving dynamic boundary value problems with field characteristics exhibiting local power-law singularities. The exponents of these singularities are determined a priori from general field properties in the presence of corner points on the boundary. The construction of solutions for the scattering of a surface gravity wave by a step and the scattering of a normal wave by a step in an elastic waveguide is used to illustrate connection between the asymptotic properties of the unknowns in the algebraic system to which the boundary value problem is reduced and the singularity at the corner points. This connection is employed to develop efficient algorithms for quantitative estimates of wave field characteristics, particularly in the near field. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
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Header DbId: asx
DbLabel: Academic Search Index
An: 197220696
RelevancyScore: 1452
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 1452.42810058594
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  Data: On local singularities of physical fields in wave propagation problems.
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  Data: <searchLink fieldCode="AR" term="%22Gorodetska%2C+N%2E+S%2E%22">Gorodetska, N. S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> nsgihm@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Nikishov%2C+V%2E+I%2E%22">Nikishov, V. I.</searchLink> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Applied+Mechanics%22">International Applied Mechanics</searchLink>. Sep2026, p1-14. 14p.
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  Data: *<searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+singularities%22">Mathematical singularities</searchLink><br />*<searchLink fieldCode="DE" term="%22Elastic+wave+propagation%22">Elastic wave propagation</searchLink><br />*<searchLink fieldCode="DE" term="%22Scattering+%28Physics%29%22">Scattering (Physics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br />*<searchLink fieldCode="DE" term="%22Asymptotic+expansions%22">Asymptotic expansions</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: A method is developed for solving dynamic boundary value problems with field characteristics exhibiting local power-law singularities. The exponents of these singularities are determined a priori from general field properties in the presence of corner points on the boundary. The construction of solutions for the scattering of a surface gravity wave by a step and the scattering of a normal wave by a step in an elastic waveguide is used to illustrate connection between the asymptotic properties of the unknowns in the algebraic system to which the boundary value problem is reduced and the singularity at the corner points. This connection is employed to develop efficient algorithms for quantitative estimates of wave field characteristics, particularly in the near field. [ABSTRACT FROM AUTHOR]
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asx&AN=197220696
RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1007/s10778-026-01416-2
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 14
        StartPage: 1
    Subjects:
      – SubjectFull: Boundary value problems
        Type: general
      – SubjectFull: Mathematical singularities
        Type: general
      – SubjectFull: Elastic wave propagation
        Type: general
      – SubjectFull: Scattering (Physics)
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
      – SubjectFull: Asymptotic expansions
        Type: general
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      – TitleFull: On local singularities of physical fields in wave propagation problems.
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            NameFull: Gorodetska, N. S.
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            NameFull: Nikishov, V. I.
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            – D: 22
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
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            – TitleFull: International Applied Mechanics
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