Сombined motion of three viscous heat-conducting liquids in a flat layer

The joint unidirectional motion of three viscous liquids under the influence of thermocapillarity forces and pressure difference has been researched. An exact stationary solution of the problem has been found. The solution of the non – stationary problem has been obtained in the form of final analytical formulas in the image using the method of Laplace transformation. By the numerical inversion of Laplace transformation the evolution of the velocity fields and of the temperature perturbation to the stationary regime for specific liquids has been obtained.