Least action principle for an integrable shallow water equation

Boris Kolev (1) , Adrian Constantin (2)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités
2 Department of Mathematics [Lund University]

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.

Mots clés: Equations of Hydrodynamics; Geodesic flows

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Boris Kolev, Adrian Constantin. Least action principle for an integrable shallow water equation. Journal of Nonlinear Mathematical Physics, 2001, 8 (4), pp.471-474. ⟨10.2991/jnmp.2001.8.4.3⟩. ⟨hal-00003267⟩