Scientific journal "The News of Altai State University". 2012 #1-1(73). Mathematics and Mechanics.

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1-1(73)

2012

$Mathematics and Mechanics$

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A.G. Petrova

On the Initial-Boundary Problem for the One-Dimensional Emulsion Motion with the Boundary Permeable for One of the Phases

For the system of governing equations for one-dimensional motion of an emulsion under the action of thermocapillary forcers and microacceleration the initial-boundary value problem, corresponding the case when the boundary of domain is impermeable for the disperse phase and permeable for carrying phase is formulated. The local in time solvability in Holder classes and the uniqueness of a classical solution on the time interval of its existence are proved.

Key words: thermocapillary motion, initial-boundary value problem, characteristics.

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