Abstract
Within the framework of the density-functional method, the hydrodynamics of a multicomponent mixture in the presence of a mobile surface phase is investigated. A system of interrelated three- and two-dimensional hydrodynamic equations for isothermal volume and surface flows is formulated. For flow in a thin axisymmetric capillary, the principal term of the asymptotic expansion of the solution in powers of the characteristic capillary radius to length ratio is obtained. For slow motion, the solution is found in quadratures.
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