A new model for large amplitude long internal waves

Research output: Contribution to journalArticle


We derive a new model for the description of large amplitude internal waves in a two-fluid system. The displacement of the interface between the two fluids is assumed to be of small slope, but no smallness assumption is made on the wave amplitude. The derivation of the model is based on the perturbation theory for Hamiltonian systems. In the case of a single fluid layer, the model reduces to the classical shallow water regime for surface water waves. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.


  • W Craig
  • P Guyenne
  • Henrik Kalisch
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics


  • fluid mechanics, internal waves Hamiltonian systems, Dirichlet-Neumann, operators
Original languageFrench
Pages (from-to)525-530
JournalComptes Rendus. Mecanique
Issue number7
Publication statusPublished - 2004
Publication categoryResearch