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 |