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Communications in Mathematical Physics

, Volume 211, Issue 1, pp 45–61 | Cite as

Global Weak Solutions for a Shallow Water Equation

  • Adrian Constantin
  • Luc Molinet

Abstract:

We show the existence and uniqueness of global weak solutions for an equation describing the motion of waves at the free surface of shallow water under the influence of gravity.

Keywords

Free Surface Shallow Water Weak Solution Shallow Water Equation Global Weak Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Adrian Constantin
    • 1
  • Luc Molinet
    • 1
  1. 1.Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, SwitzerlandCH

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