Asymptotics of the solution of the Cauchy-Poisson problem in a layer of nonconstant thickness

DOI10.1007/BF01212605zbMath0810.35084OpenAlexW2052501863MaRDI QIDQ1326923

S. Yu. Dobrokhotov, V. M. Kuz'mina, Peter N. Zhevandrov

Publication date: 13 July 1994

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

Full work available at URL: https://doi.org/10.1007/bf01212605

zbMATH Keywords

Hamiltonian systemasymptotic representations of solutionsCauchy-Poisson problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Asymptotics of the solution of the Cauchy problem with localized initial conditions for a wave type equation with time dispersion. I: Basic structures ⋮ Uniform formulas for the asymptotic solution of a linear pseudodifferential equation describing water waves generated by a localized 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 ⋮ Asymptotics of the propagation problem for linear waves on a two-dimensional lattice and modified Maslov's canonical operator ⋮ 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

Cites Work

• On water waves produced by ground motions

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