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Homogenization of the Process of Phase Transitions in Multidimensional Heterogeneous Periodic Media
Authors:I A Kaliev  G S Sabitova
Institution:(1) Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090;(2) Novosibirsk Military Institute, Novosibirsk, 630117
Abstract:The homogenization of the Stefan multidimensional problem is carried out in the case where the medium is a composite consisting of two different substances with an epsi–periodic structure. The averaged problem is deduced by asymptotic methods. It is shown that its solution is the limit of solutions of epsi–problems.
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