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On the run-up for two-dimensional shallow water in the linear approximation - MaRDI portal

On the run-up for two-dimensional shallow water in the linear approximation (Q2282849)

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Language	Label	Description	Also known as
English	On the run-up for two-dimensional shallow water in the linear approximation	scientific article

Statements

scholarly article

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On the run-up for two-dimensional shallow water in the linear approximation (English)

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Mathematical Notes

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publication date

20 December 2019

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zbMATH Keywords

linearized shallow water system

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asymptotics

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run-up

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MaRDI profile type

MaRDI publication profile

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Water waves of finite amplitude on a sloping beach

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Localized solutions of one-dimensional non-linear shallow-water equations with velocity $ c=\sqrt x$

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Phase space geometry for a wave equation degenerating on the boundary of the domain

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The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary

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Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation

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Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem

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Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations

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Operator separation of variables for adiabatic problems in quantum and wave mechanics

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Geometric asymptotics for a degenerate hyperbolic equation

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On the representation of localized functions in \(\mathbb R^2\) by the Maslov canonical operator

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New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics

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Creation operators in the problem of localized solutions of the linearized shallow water equations with regular and singular characteristics

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Simple asymptotic solution of the Cauchy-Poisson problem for head waves

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Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I

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Functions of Noncommuting Operators in an Asymptotic Problem for a 2D Wave Equation with Variable Velocity and Localized Right-hand Side

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Approximation of solutions of the two-dimensional wave equation with variable velocity and localized right-hand side using some ``simple'' solutions

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full work available at URL

https://doi.org/10.1134/s0001434619070204

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Identifiers

zbMATH Open document ID

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10.1134/S0001434619070204

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2282849

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