Asymptotic analysis of steady solutions of the KdVB equation with application to resonant sloshing

DOI10.1007/S00033-007-5130-2zbMath1161.35043OpenAlexW1994376578MaRDI QIDQ2461529

Edward A. Cox, David E. Amundsen, Michael P. Mortell

Publication date: 28 November 2007

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-007-5130-2

zbMATH Keywords

Korteweg-de Vries equationsteady solutionsBurger's dampingresonant sloshigshallow waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Theoretical approximation in context of PDEs (35A35) Boundary element methods applied to problems in fluid mechanics (76M15) Cauchy-Kovalevskaya theorems (35A10)

Related Items (8)

Modulation theory for the steady forced KdV-Burgers equation and the construction of periodic solutions ⋮ A stability analysis of periodic solutions to the steady forced Korteweg-de Vries-Burgers equation ⋮ Asymptotic analysis of periodic solutions of the seasonal SIR model ⋮ The unbalanced rotating cylinder partially filled with fluid; multiple scales analysis of a forced Korteweg-de Vries-Burgers equation ⋮ Unifying the steady state resonant solutions of the periodically forced KdVB, mKdVB, and eKdVB equations ⋮ Sloshing of an ideal fluid in a horizontally forced rectangular tank ⋮ Steady free-surface flow over spatially periodic topography ⋮ The evolution of resonance: a multiscale approach to the effect of nonlinearity, frequency dispersion and geometry

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