Nonlinear Marangoni waves in a two-layer film with reflecting lateral boundaries

Abstract

Longwave Marangoni convection in a two-layer film of a finite lateral extent is considered. The analysis is carried out in the lubrication approximation. Numerical simulations are performed in the case of oscillatory instability, which takes place by heating from above. Reflecting conditions are applied on the boundaries of the computational region. A sequence of nonlinear wave regimes, which develop by the increase of the Marangoni number, is studied. The multistability of wave patterns has been revealed.