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On classical solvability for the Hele-Shaw moving boundary problems with kinetic undercooling regularization

Published online by Cambridge University Press:  26 September 2008

Yu. E. Hohlov  and
M. Reissig
Yu. E. Hohlov
Affiliation:
Steklov Mathematical Institute, Vavilova Str. 42, Moscow 117966, Russia
M. Reissig
Affiliation:
Fachbereich Mathematik Technische Universität, Bergakademie Freiberg, Bernhard von Cotta Str. 2, 09596 Freiberg, Germany
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Abstract

In this paper, Hele-Shaw moving boundary problems with kinetic undercooling regularization are studied. By application of the nonlinear abstract Cauchy–Kovalevskaya theorem the local existence of analytic solutions is shown. Therefore we have to study the behaviour of the gradient of harmonic functions up to the boundary of the domain.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 6 , Issue 5 , October 1995 , pp. 421 - 439
Copyright
Copyright © Cambridge University Press 1995

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