Work

A mixed problem for the wave equation in a curvilinear halfstrip with discontinuous initial data

Year: 2025

Type: article

Abstract: We study a mixed problem for a one-dimensional wave equation in a curvilinear half-strip. The initial conditions have a discontinuity of the first kind at a single point. The mixed problem models the problem of a longitudinal impact on a finite elastic rod with a movable boundary. Using the method of characteristics, we obtain the solution in an explicit analytical form. For the problem in question, we prove the uniqueness of the solution and establish the conditions under which its classical solution exists.

Source: Proceedings of the National Academy of Sciences of Belarus Physics and Mathematics Series

DOI: 10.29235/1561-2430-2025-61-3-183-194

Authors: V. I. Korzyuk, J. V. Rudzko, V. V. Kolyachko

Institutions: National Academy of Sciences of Belarus, Belarusian State University, Institute of Mathematics

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Lomonosov Moscow State University

OpenAlex ID: W4415166565

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Cites: 11

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