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

G. A. Omel'yanov; V. G. Danilov; E. V. Radkevich

doi:10.1017/S0956792597003227

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

G. A. Omel'yanov^*, V. G. Danilov, E. V. Radkevich

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The conserved phase field system with a small parameter in the n-dimensional case (n ≤ 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.

Original language	English
Pages (from-to)	1-21
Number of pages	21
Journal	European Journal of Applied Mathematics
Volume	9
Issue number	1
DOIs	https://doi.org/10.1017/S0956792597003227
State	Published - Feb 1998
Externally published	Yes

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title = "Asymptotic solution of the conserved phase field system in the fast relaxation case",

abstract = "The conserved phase field system with a small parameter in the n-dimensional case (n ≤ 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.",

author = "Omel'yanov, {G. A.} and Danilov, {V. G.} and Radkevich, {E. V.}",

year = "1998",

month = feb,

doi = "10.1017/S0956792597003227",

language = "Ingl{\'e}s",

volume = "9",

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journal = "European Journal of Applied Mathematics",

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publisher = "Cambridge University Press",

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T1 - Asymptotic solution of the conserved phase field system in the fast relaxation case

AU - Omel'yanov, G. A.

AU - Danilov, V. G.

AU - Radkevich, E. V.

PY - 1998/2

Y1 - 1998/2

N2 - The conserved phase field system with a small parameter in the n-dimensional case (n ≤ 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.

AB - The conserved phase field system with a small parameter in the n-dimensional case (n ≤ 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.

UR - http://www.scopus.com/inward/record.url?scp=0032351491&partnerID=8YFLogxK

U2 - 10.1017/S0956792597003227

DO - 10.1017/S0956792597003227

M3 - Artículo

SN - 0956-7925

VL - 9

SP - 1

EP - 21

JO - European Journal of Applied Mathematics

JF - European Journal of Applied Mathematics

IS - 1

ER -

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

Abstract

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