Dissipative Boussinesq System of Equations in the Bénard-Marangoni Phenomenon

Abstract

By using the long-wave approximation, a system of coupled evolution equations for the bulk velocity and the surface perturbations of a Bénard-Marangoni system is obtained. It includes nonlinearity, dispersion and dissipation, and it can be interpreted as a dissipative generalization of the usual Boussinesq system of equations. As a particular case, a strictly dissipative version of the Boussinesq system is obtained. Finnaly, some speculations are made on the nature of the physical phenomena described by this system of equations.

arXiv comment15 Pages, REVTEX (Version 3.0), no figures

Cited by in corpus (2)

• Evolution equation for bidirectional surface waves in a convecting fluid
• Asymptotic Behavior of Solutions for the Cauchy Problem of a Dissipative Boussinesq-Type Equation