Dissipative Boussinesq system of equations in the Bénard-Marangoni phenomenon
Dissipative Boussinesq system of equations in the Bénard-Marangoni phenomenon
By using the long-wavelength 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 …