On the run-up for two-dimensional shallow water in the linear approximation
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Publication:2282849
DOI10.1134/S0001434619070204zbMath1427.35196OpenAlexW2971055850WikidataQ127329730 ScholiaQ127329730MaRDI QIDQ2282849
Publication date: 20 December 2019
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434619070204
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Cites Work
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- Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I
- New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics
- Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation
- Approximation of solutions of the two-dimensional wave equation with variable velocity and localized right-hand side using some ``simple solutions
- Creation operators in the problem of localized solutions of the linearized shallow water equations with regular and singular characteristics
- Geometric asymptotics for a degenerate hyperbolic equation
- Operator separation of variables for adiabatic problems in quantum and wave mechanics
- Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations
- Simple asymptotic solution of the Cauchy-Poisson problem for head waves
- Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem
- Phase space geometry for a wave equation degenerating on the boundary of the domain
- On the representation of localized functions in \(\mathbb R^2\) by the Maslov canonical operator
- The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary
- Water waves of finite amplitude on a sloping beach
- Localized solutions of one-dimensional non-linear shallow-water equations with velocity $ c=\sqrt x$
- 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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