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.
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.
This is a preview of subscription content, log in to check access.