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Journal of Siberian Federal University. Mathematics & Physics, 2021, Volume 14, Issue 4, Pages 475–482
DOI: https://doi.org/10.17516/1997-1397-2021-14-4-475-482 (Mi jsfu932) 		 
On the uniqueness of the classical solutions of the radial viscous fingering problems in a Hele-Shaw cell

Atusi Tania, Hisasi Tanib

a Department of Mathematics, Keio University, Yokohama, Japan
b JANUS, Yokohama, Japan
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DOI: https://doi.org/10.17516/1997-1397-2021-14-4-475-482
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.
Keywords: classical solution, unique existence, radial viscous fingering.
Received: 10.03.2021
Received in revised form: 05.04.2021
Accepted: 20.05.2021
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Atusi Tani, Hisasi Tani, “On the uniqueness of the classical solutions of the radial viscous fingering problems in a Hele-Shaw cell”, J. Sib. Fed. Univ. Math. Phys., 14:4 (2021), 475–482
Citation in format AMSBIB
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\by Atusi~Tani, Hisasi~Tani
\paper On the uniqueness of the classical solutions of the radial viscous fingering problems in a Hele-Shaw cell
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 4
\pages 475--482
\mathnet{http://mi.mathnet.ru/jsfu932}
\crossref{https://doi.org/10.17516/1997-1397-2021-14-4-475-482}
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