Pattern formation and film rupture in a two-dimensional thermocapillary thin-film model of the Bénard-Marangoni problem

Stefano Böhmer, Bastian Hilder, Jonas Jansen

We study two-dimensional, stationary square and hexagonal patterns in the thermocapillary deformational thin-film model for the fluid height $h$\begin{equation*} \partial_t h+\nabl…