English

Least action principle for an integrable shallow water equation

Mathematical Physics 2007-05-23 v1 Analysis of PDEs math.MP

Abstract

For an integrable shallow water equation we describe a geometrical approach showing that any two nearby fluid configurations are successive states of a unique flow minimizing the kinetic energy.

Cite

@article{arxiv.math-ph/0209053,
  title  = {Least action principle for an integrable shallow water equation},
  author = {Adrian Constantin and Boris Kolev},
  journal= {arXiv preprint arXiv:math-ph/0209053},
  year   = {2007}
}

Comments

arXiv version is already official

R2 v1 2026-07-22T16:21:54.878Z