Least action principle for an integrable shallow water equation

2002/09/25 by Adrian Constantin, Boris Kolev
Physics and Astronomy · Mathematics · #math-ph #math.AP #math.MP

paper · pdf

published as J. Nonlinear Math. Phys. 8 (2001), no. 4, 471-474 · arXiv version is already official

arxiv created 2002/09/25 · arxiv updated 2009/11/30

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.

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