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On the solvability of a three-dimensional problem of thermocapillary convection

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Abstract

The solvability of a stationary problem with a free boundary, for a system of Navier-Stokes equations and an equation of thermal balance of a viscous incompressible fluid that partially fills a vessel, is established. It is assumed that the surface tension coefficient of the fluid depends on the temperature and that the difference between the temperature of the wall of the vessel and of its surroundings is nonzero but sufficiently small.

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Authors
  1. M. V. Lagunova
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Translated from Problemy Matematicheskogo Analiza, No. 11, pp. 18–27, 1990.

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Lagunova, M.V. On the solvability of a three-dimensional problem of thermocapillary convection. J Math Sci 64, 1233–1240 (1993). https://doi.org/10.1007/BF01098015

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