Asymptotic solutions of one-dimensional linear evolution equations for surface waves with account for surface tension

DOI10.1134/S0001434618030173zbMath1394.35371OpenAlexW2799708087MaRDI QIDQ722165

S. A. Sergeev

Publication date: 23 July 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618030173

zbMATH Keywords

surface tensionlocalized sourceMaslov canonical operatordispersion of waveslinear waves on the surface of a liquid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Geometric quantization (53D50)

Related Items (2)

Asymptotics of linear surface waves generated by a localized source moving along the bottom of the basin. I. One-dimensional case ⋮ Behavior of the solution of the Klein-Gordon equation with a localized initial condition

Cites Work

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