Skip to Main Content

Open Math Notes

Resources and inspiration for math instruction and learning

Home Submit FAQ Contact My Notes


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

contact

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.

Vincent Duchene
Institut de Recherche Mathématique de Rennes

Feedback to the author(s)
Open Math Notes authors welcome substantive, useful feedback that helps them develop and improve their notes. Comments submitted through this site may be posted on the Open Math Notes web pages next to the appropriate Note.
If checked, the author will not see your name or email address.
Limit 2000 characters; Plain text only
Optional; Limit 10M
Optional; Limit 10M