Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source

DOI10.1134/S0081543813040147zbMath1293.35279OpenAlexW2126584753MaRDI QIDQ2446205

V. V. Grushin, S. Yu. Dobrokhotov, S. A. Sergeev

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543813040147

zbMATH Keywords

wave equationasymptotic solutionrapidly oscillating coefficientsdecreasing initial datageophysical applicationshomogenization method modification

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (8)

Homogenization method in the problem of long wave propagation from a localized source in a basin over an uneven bottom ⋮ Approximate formulas for eigenvalues of the Laplace operator on a torus arising in linear problems with oscillating coefficients ⋮ Asymptotic solution of the Cauchy problem with localized initial data for a wave equation with small dispersion effects ⋮ Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media ⋮ Correction to the paper ``Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source ⋮ 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 ⋮ Application of the generalized stationary phase method to the asymptotics of the tsunami head wave in the hydrodynamic piston model

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