The hard-sphere Boltzmann equation and the Benney moment equations

Gibbons, John (1980) The hard-sphere Boltzmann equation and the Benney moment equations. (Preprint)

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Abstract

The collisionless Boltzmann equation for particles interacting via short-range forces is shown to be equivalent to the Benney equations, which describe long waves in a two-dimensional fluid with a free surface. These systems may also be derived from the nonlinear Schrödinger equation, if multiple scales are introduced and a random phase approximation is employed.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	10 Jul 2018 14:58
Last Modified:	22 Dec 2022 11:00
URI:	https://dair.dias.ie/id/eprint/909

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