Geodesic
On properties of solution of a boundary value problem describing simultaneous flow of two binary mixtures
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 4, pp. 14-26

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Properties of an invariant solution of thermodiffusion equations in a planar layer are investigated in the case when the surface tension on the surface of two mixtures depends linearly on temperature and concentration. For the arising adjoint initial-boundary value problem, a priori estimates of perturbations of velocity and temperature fields are obtained. The estimates show that perturbations converge exponentially to stationary values as time increases. Concentration perturbations also settle into a stationary regime; this is proved by means of the Laplace transformation. 
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     author = {V. K. Andreev},
     title = {On properties of solution of a boundary value problem describing simultaneous flow of two binary mixtures},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2007_13_4_a1/}
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V. K. Andreev. On properties of solution of a boundary value problem describing simultaneous flow of two binary mixtures. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 4, pp. 14-26. http://geodesic.mathdoc.fr/item/TIMM_2007_13_4_a1/