| Abstract: | A system of coupled evolution equations for the bulk velocity and the surface displacement is found to govern the longwavelength perturbations in a Bénard-Marangoni system. This system of equations, involving nonlinearity, dispersion, and dissipation, is a generalization of the usual Boussinesq system.Instituto de Física Teórica, Universidade Estadual, Paulista, Rua Pamplona 145, 01405-900 São Paulo SP, Brazil. Laboratoire de Physique Mathématique, Université de Montpellier II, 34095 Montpellier Cedex 05, France. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 3, pp. 419–427, June, 1994. |
