On the Uniqueness of the Classical Solutions of the Radial Viscous Fingering Problems in a Hele-Shaw Cell
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Published:2001-08
Issue:4
Volume:14
Page:475-482
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ISSN:1997-1397
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Container-title:Journal of Siberian Federal University. Mathematics & Physics
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language:
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Short-container-title:Physics J. Sib. Fed. Univ., Math. phys.
Author:
Tani Atusi, ,Tani Hisasi
Abstract
In [9, 10] we established the existence of classical solutions to two-phase and one-phase radial viscous fingering problems, respectively, in a Hele-Shaw cell by the parabolic regularization and by vanishing the coefficient of the derivative with respect to time in a parabolic equation. In this paper we show the uniqueness of such solutions to the respective problems
Publisher
Siberian Federal University
Subject
General Physics and Astronomy,General Mathematics