Localized asymptotic solutions of the wave equation with variable velocity on the simplest graphs

DOI10.1134/S1061920817030013zbMath1380.35118OpenAlexW2751051499MaRDI QIDQ1688276

Andrej I. Shafarevich, Anna I. Allilueva

Publication date: 5 January 2018

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920817030013

zbMATH Keywords

localized initial conditionsshort-wave and long-wave parts

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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Cites Work

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• Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations
• Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients
• On the distribution of energy of localized solutions of the Schrödinger equation that propagate along symmetric quantum graphs

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