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Asymptotic nonlinear wave modeling through the Dirichlet-to-Neumann operator

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Publication:2503203
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DOI10.4310/MAA.2004.v11.n4.a3zbMath1177.76041OpenAlexW2061879989MaRDI QIDQ2503203

William Artiles, André Nachbin

Publication date: 14 September 2006

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.2004.v11.n4.a3


zbMATH Keywords

asymptotic theoryinhomogeneous mediaDispersive waves


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35) Complex variables methods applied to problems in fluid mechanics (76M40)


Related Items (6)

A Review of Nonlinear Boussinesq-Type Models for Coastal Ocean Modeling ⋮ On weakly nonlinear gravity-capillary solitary waves ⋮ Two-Dimensional Surface Wave Propagation over Arbitrary Ridge-Like Topographies ⋮ Harmonic stability of standing water waves ⋮ An explicit hybridized discontinuous Galerkin method for Serre-Green-Naghdi wave model ⋮ A discussion on Neumann–Kelvin's model for progressive water waves


Uses Software

  • Schwarz-Christoffel
  • SC Toolbox



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