Waves on the free surface described by linearized equations of hydrodynamics with localized right-hand sides

DOI10.1134/S1061920818010016zbMath1388.76028OpenAlexW2791820973MaRDI QIDQ1640024

S. Yu. Dobrokhotov, Vladimir E. Nazaikinskii

Publication date: 13 June 2018

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

Full work available at URL: https://doi.org/10.1134/s1061920818010016

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items (2)

Asymptotics of one-dimensional linear standing water waves with dispersion and degeneracy on the boundary ⋮ Asymptotics of linear surface waves generated by a localized source moving along the bottom of the basin. I. One-dimensional case

Cites Work

• Nonstandard characteristics and Maslov's operational method in linear problems concerning unsteady water waves
• Asymptotic expansions and the Maslov canonical opeator in the linear theory of water waves. I: Main constructions and equations for surface gravity waves
• Operator separation of variables for adiabatic problems in quantum and wave mechanics
• Representations of rapidly decaying functions by the Maslov canonical operator
• Asymptotics of linear water waves generated by a localized source near the focal points on the leading edge
• Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions
• The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides
• Non-standard characteristics in asymptotic problems
• New integral representations of the Maslov canonical operator in singular charts
• Surface waves generated by a travelling pressure point
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