Non-Linear Marangoni Convection in a Layer of Finite Depth

Non-linear thermal convection driven by surface tension in a thin layer of fluid heated from below is studied. The present analysis, based on the amplitude method, amplifies previous results obtained by other authors. The thin fluid layer is modelized by means of a finite-depth layer instead of a semi-infinite one, as proposed by Scanlon and Segel. The main differences with Scanlon and Segel analysis are emphasized.