Abstract
We construct an asymptotic solution of the phase field system with variable thermal conductivity different in domains occupied by different phases. We show that, depending on relations between parameters characterizing the substance, the dynamics of the free interface between the phases is determined by solutions of the classical or modified Stefan problems.
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Translated fromMatematicheskie Zametki, Vol. 66, No. 2, pp. 231–241, August, 1999.
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Omel’yanov, G.A., Trushkov, V.V. Dynamics of a free boundary in a binary medium with variable thermal conductivity. Math Notes 66, 181–189 (1999). https://doi.org/10.1007/BF02674876
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DOI: https://doi.org/10.1007/BF02674876