Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-23T07:15:12.807Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

Abstract

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)