Existence of frequency modes coupling seismic waves and vibrating tall buildings

DOI10.1016/j.jmaa.2014.07.008zbMath1298.35039arXiv1403.2677OpenAlexW2962983065MaRDI QIDQ401354

Darko Volkov, Sergey Zheltukhin

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2677

zbMATH Keywords

integral equationsDirichlet problems for a domain exterior to a line segmentlow and high frequency asymptotics for the Helmholtz equation

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Modes Coupling Seismic Waves and Vibrating Buildings: Existence ⋮ Multitwistor mechanics of massless superparticle on \(AdS_5 \times S^5\) superbackground

Cites Work

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• High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering
• The asymptotic behavior of the diffraction peak in classical scattering
• Modes Coupling Seismic Waves and Vibrating Buildings: Existence

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