Least action principle for an integrable shallow water equation
Kolev, Boris ; Constantin, Adrian
HAL, hal-00003267 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-11-05
Classification:  Equations of Hydrodynamics,  Geodesic flows,  MSC : 35Q35, 58B25,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] 
@article{hal-00003267,
     author = {Kolev, Boris and Constantin, Adrian},
     title = {Least action principle for an integrable shallow water equation},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003267}
}

Kolev, Boris; Constantin, Adrian. Least action principle for an integrable shallow water equation. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003267/