Dissipative Boussinesq System of Equations in the Bénard-Marangoni Phenomenon

Details Dissipative Boussinesq System of Equations in the Bénard-Marangoni Phenomenon Dissipative Boussinesq System of Equations in the Bénard-Marangoni Phenomenon

1993-06-28

arxiv.org/abs/patt-sol/9306002v1

Nonlinear Sciences

Pattern Formation and Solitons

15 Pages, REVTEX (Version 3.0), no figures

Scientific paper

10.1103/PhysRevE.49.1759

By using the long-wave approximation, a system of coupled evolution equations for the bulk velocity and the surface perturbations of a B\'enard-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.

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