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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto


Vincent Duchene
Institut de Recherche Mathématique de Rennes
MR ID: 914587
Reference #


Posted date
2021-10-11 10:07:34
Revised date
2021-10-11 10:07:34
Notes type
   Research Monographs
   Differential Equations
      Nonlinear Partial Differential Equations
   Mathematical Physics
      Fluid Dynamics

Many Models for Water Waves

A unified theoretical approach

In this monograph we derive, discuss, and justify as much as possible a large class of models describing in an approximate manner the propagation of waves at the surface of water, at the interface between two homogeneous fluids, or in the bulk of a continuously density-stratified fluid. Our aim is to present standard and less-standard models in a unified framework, together with robust mathematical tools involved in their rigorous justification.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (24M) 10/11/21