DISSIPATIVE BOUSSINESQ SYSTEM OF EQUATIONS IN THE BENARD-MARANGONI PHENOMENON

Citation
Ra. Kraenkel et al., DISSIPATIVE BOUSSINESQ SYSTEM OF EQUATIONS IN THE BENARD-MARANGONI PHENOMENON, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(2), 1994, pp. 1759-1762
Citations number
11
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
49
Issue
2
Year of publication
1994
Pages
1759 - 1762
Database
ISI
SICI code
1063-651X(1994)49:2<1759:DBSOEI>2.0.ZU;2-Y
Abstract
By using the long-wavelength approximation, a system of coupled evolut ion equations for the bulk velocity and the surface perturbations of a Benard-Marangoni system is obtained. It includes nonlinearity, disper sion, and dissipation, and it can be interpreted as a dissipative gene ralization of the usual Boussinesq system of equations. As a particula r case, a strictly dissipative version of the Boussinesq system is obt ained.