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Water Waves, Hamiltonian Systems and Cauchy Integrals

  • Walter Craig
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 30)

Abstract

I will speak today about a classical fluid dynamical problem involving a free surface, the problem known as water waves. The results I want to describe are simply the derivation of a formalism that arises in posing the problem. This consists in writing the equations of motion as a Hamiltonian system. In doing this, several interesting questions arise, which are associated with Laplace’s equation on plane domains. I am not reporting on analytical results, rather this talk should be taken as a description of a point of view, or a set of coordinates that have a certain elegance.

Keywords

Hamiltonian System Wave Packet Water Wave Fluid Domain Christoffel Symbol 
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 New York, Inc. 1991

Authors and Affiliations

  • Walter Craig
    • 1
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

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