On properties of solution of a boundary value problem describing simultaneous flow of two binary mixtures

被引：0
|
作者：
V. K. Andreev
机构：
[1] Siberian Branch of the Russian Academy of Sciences,Institute of Computational Modeling
来源：
Proceedings of the Steklov Institute of Mathematics | 2008年 / 261卷
关键词：
Surface Tension; Binary Mixture; STEKLOV Institute; Stationary Regime; Boundary Surface;
D O I：
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中图分类号：
学科分类号：
摘要：
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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页码：1 / 14
页数：13
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