Abstract
A mathematical model of non-isothermal flow of a fluid film is presented. In conditions of Marangoni instability wave characteristics are calculated, identify areas of instability of a fluid film. It shows the influence of thermocapillary forces and forces of surface viscosity on the form of waves. Nonlinear development of perturbations belonging to a continuous band of wave numbers on the surface of a thin fluid layer is investigated within the framework of a nonlinear parabolic equation.
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