The diffraction of elastic waves by spherical defects

Oleg Nazarenko; Angela Stekhun; Anatoly Yarovyi

Surveys in Mathematics and its Applications (Apr 2024)

The diffraction of elastic waves by spherical defects

Oleg Nazarenko,
Angela Stekhun,
Anatoly Yarovyi

Affiliations

Oleg Nazarenko: Candidate of physical and mathematical science, Associate professor of the Department of Higher Mathematics, Odesa State Academy of Civil Engineering and Architecture, Didrichson street, 4, Odesa, 65029, Ukraine.
Angela Stekhun: Candidate of physical and mathematical science, Associate Professor of the Department of Optimal Management and Economic Cybernetics, Faculty of Mathematics, Physics and Information Technologies, Odesa I.I. Mechnikov National University, Dvoryanskaya street, 2, Odesa, 65023, Ukraine.
Anatoly Yarovyi: Candidate of physical and mathematical science, Associate Professor of the Department of Optimal Management and Economic Cybernetics, Faculty of Mathematics, Physics and Information Technologies, Odesa I.I. Mechnikov National University, Dvoryanskaya street, 2, Odesa, 65023, Ukraine.

Journal volume & issue: Vol. 19 (2024)
pp. 217 – 232

Abstract

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Generalization of the method of discontinuous solutions to the case of spherical defects (cracks or thin rigid spherical inclusions). A method for constructing a discontinuous solution of the wave equation for a spherical coordinate system is proposed.

Published in Surveys in Mathematics and its Applications

ISSN: 1843-7265 (Print); 1842-6298 (Online)
Publisher: University Constantin Brancusi of Targu-Jiu
Country of publisher: Romania
LCC subjects: Science: Mathematics
Website: http://www.utgjiu.ro/math/sma/

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Abstract

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