Asymptotics of long standing waves in one-dimensional pools with shallow banks: theory and experiment

DOI10.1134/S0015462823602097zbMATH Open1545.76015MaRDI QIDQ6563545

Sergei Yu. Dobrokhotov, Vladimir E. Nazaikinskii, V. A. Kalinichenko, D. S. Minenkov

Publication date: 27 June 2024

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

linearized problemeigenfunctionparametric resonanceexperimental validationnonlinear shallow-water equationsCarrier-Greenspan transformationtime-periodic asymptotic solution

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Experimental work for problems pertaining to fluid mechanics (76-05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

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