Abstract
The correctness of a setting the initial-boundary value problem is discussed for the one-dimensional motion of an emulsion in a field of micro-accelerations and thermocapillary forces with the heat conductivity depending on concentration and with nonzero buoyancy. We prove the local solvability in time of the problem with zero velocities of both phases at both ends of the interval and zero concentration flow at one of its ends. Also, we establish the uniqueness of the classical solution on the interval of existence.
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Original Russian Text © A.G. Petrova, 2009, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2009, Vol. XII, No. 2, pp. 111–119.
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Petrova, A.G. On the initial-boundary value problem for the one-dimensional motion of an emulsion in a field of micro-accelerations and thermocapillary forces. J. Appl. Ind. Math. 4, 371–379 (2010). https://doi.org/10.1134/S1990478910030099
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DOI: https://doi.org/10.1134/S1990478910030099