Abstract
For small Reynolds numbers one proves the unique solvability of the problem describing the stationary thermocapillary convection of a viscous incompressible fluid in a closed vessel in the plane. The solution is found in a class of functions belonging to a weighted Hölder space.
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Translated from Problemy Matematicheskogo Analiza, No. 10, pp. 33–47, 1986.
In conclusion, the author expresses her gratitude to her scientific advisor V. A. Solonnikov for his considerable help.
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Lagunova, M.V. Solvability of the plane problem of thermocapillary convection. J Math Sci 45, 1130–1140 (1989). https://doi.org/10.1007/BF01096145
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DOI: https://doi.org/10.1007/BF01096145