Homogenization method in the problem of long wave propagation from a localized source in a basin over an uneven bottom
DOI10.1134/S0012266118080062zbMath1418.76043OpenAlexW2890755490WikidataQ129225179 ScholiaQ129225179MaRDI QIDQ1631169
A. D. Karaev, D. A. Karaeva, Vladimir E. Nazaikinskii
Publication date: 5 December 2018
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266118080062
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Homogenization applied to problems in fluid mechanics (76M50)
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Cites Work
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- Asymptotic solutions of the Cauchy problem with localized initial conditions for linearized two-dimensional Boussinesq-type equations with variable coefficients
- On a homogenization method for differential operators with oscillating coefficients
- Asymptotic theory of linear water waves in a domain with nonuniform bottom with rapidly oscillating sections
- Asymptotic expansions and the Maslov canonical opeator in the linear theory of water waves. I: Main constructions and equations for surface gravity waves
- Asymptotic solutions of the linear shallow-water equations with localized initial data
- Operator separation of variables for adiabatic problems in quantum and wave mechanics
- Asymptotics of localized solutions of the one-dimensional wave equation with variable velocity. I: The Cauchy problem
- 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
- Approximate formulas for eigenvalues of the Laplace operator on a torus arising in linear problems with oscillating coefficients
- Averaging of linear operators, adiabatic approximation, and pseudodifferential operators
- Peierls substitution and the Maslov operator method
- Homogenization in the problem of long water waves over a bottom site with fast oscillations
- Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source
- Description of tsunami propagation based on the Maslov canonical operator
- Surface waves on water of non-uniform depth
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