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A free boundary problem arising in the modelling of internal oxidation of binary alloys

Published online by Cambridge University Press:  26 September 2008

Bei Hu  and
Jianhua Zhang
Bei Hu
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA
Jianhua Zhang
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
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Abstract

A one-dimensional free boundary problem arising in the modelling of internal oxidation of binary alloys is studied in this paper. The free boundary of this problem is determined by the equation u = 0, where u is the solution of a parabolic partial differential equation with discontinuous coefficients across the free boundary. Local existence, uniqueness and the regularity of the free boundary are established. Global existence is also studied.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 6 , Issue 3 , June 1995 , pp. 225 - 245
Copyright
Copyright © Cambridge University Press 1995

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