Variational formulations for steady water waves with vorticity.

Autor: ADRIAN CONSTANTIN, DAVID SATTINGER, WALTER STRAUSS
Zdroj: Journal of Fluid Mechanics; Vol. 548 Issue 1, p151-163, 13p
Abstrakt: For free-surface water flows with a vorticity that is monotone with depth, we show that any critical point of a functional representing the total energy of the flow adjusted with a measure of the vorticity, subject to the constraints of fixed mass and horizontal momentum, is a steady water wave. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index