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The News of Altai State University
Print ISSN 1561-9443
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Content of 1(35) 2005
Mathematics and Computer Science
Mathematics and Computer Science

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M.A. Potapenko

Correctness of mathematical model of heat and mass transport in oil-wax solution

This paper is devoted to study of mathematical model of heat and mass transport in partially saturated oil-wax solution with the given thermal field, formulated by A. Fasano and M. Primicerio. It results in an initial-boundary problem for the system of parabolic differential equations with free boundary and nonlinear conditions on known boundaries. The uniqueness and existence theorem for week solution of multidimensional problem is proved in a domain with smooth boundary.

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