The field near the wave front in a Cauchy-Poisson problem

DOI10.1007/BF01091260zbMath0551.76015MaRDI QIDQ800766

M. Ya. Kel'bert, Vladimir A. Borovikov

Publication date: 1984

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

zbMATH Keywords

Airy functionasymptotic behavior of the Green's functionsurface wave

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (8)

Asymptotics of the solution of the Cauchy problem with localized initial conditions for a wave type equation with time dispersion. I: Basic structures ⋮ Asymptotic solutions of the Cauchy problem with localized initial conditions for linearized two-dimensional Boussinesq-type equations with variable coefficients ⋮ Uniform formulas for the asymptotic solution of a linear pseudodifferential equation describing water waves generated by a localized source ⋮ Exact and asymptotic solutions of the Cauchy-Poisson problem with localized initial conditions and a constant function of the bottom ⋮ Estimation of accuracy of an asymptotic solution of the generalized Cauchy problem for the Boussinesq equation as applied to the potential model of tsunami with a ``simple source ⋮ Asymptotics of linear water waves generated by a localized source near the focal points on the leading edge ⋮ Asymptotic solutions of the linear shallow-water equations with localized initial data ⋮ Analytic study of a potential model of tsunami with a simple source of piston type. II: Asymptotic formula for the height of tsunami in the far field

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