Dynamics of a free boundary in a binary medium with variable thermal conductivity

G. A. Omel'yanov

Dynamics of a free boundary in a binary medium with variable thermal conductivity

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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. ©2000 Kluwer Academic/Plenum Publishers.

Original language	American English
Pages (from-to)	181-189
Number of pages	9
Journal	Mathematical Notes
State	Published - 1 Dec 1999
Externally published	Yes

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title = "Dynamics of a free boundary in a binary medium with variable thermal conductivity",

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. {\textcopyright}2000 Kluwer Academic/Plenum Publishers.",

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N2 - 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. ©2000 Kluwer Academic/Plenum Publishers.

AB - 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. ©2000 Kluwer Academic/Plenum Publishers.

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EP - 189

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

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