Oscillatory and monotonic modes of longwave Marangoni convection in a thin film

S. Shklyaev, M. Khenner, A. A. Alabuzhev

We study longwave Marangoni convection in a layer heated from below. Using the scaling $k=O(\sqrt{\mathrm{Bi}})$, where $k$ is the wavenumber and $\mathrm{Bi}$ is the Biot number, we der…