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Asymptotic solution of the conserved phase field system in the fast relaxation case

Published online by Cambridge University Press:  01 February 1998

G. A. OMEL'YANOV ,
V. G. DANILOV  and
E. V. RADKEVICH
G. A. OMEL'YANOV
Affiliation:
Moscow State Institute of Electronics and Mathematics, B. Vuzovsky, 3/12, 109028 Moscow, Russia
V. G. DANILOV
Affiliation:
Moscow State Institute of Electronics and Mathematics, B. Vuzovsky, 3/12, 109028 Moscow, Russia
E. V. RADKEVICH
Affiliation:
Moscow State University, Department of Mathematics, Vorobiovi Gori, 119899 Moscow, Russia
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Abstract

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The conserved phase field system with a small parameter in the n-dimensional case (n[les ]3) is considered. An asymptotic solution, describing the free interface dynamics, is constructed and justified. As the small parameter tends to zero, the limiting solution satisfies the modified Stefan problem with corrected Gibbs–Thomson law.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 9 , Issue 1 , February 1998 , pp. 1 - 21
Copyright
1998 Cambridge University Press