Geodesic
On the uniqueness of the classical solutions of the radial viscous fingering problems in a Hele-Shaw cell
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 4, pp. 475-482

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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, radial viscous fingering.
Mots-clés : unique existence 
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     title = {On the uniqueness of the classical solutions of the radial viscous fingering problems in a {Hele-Shaw} cell},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Atusi Tani; Hisasi Tani. On the uniqueness of the classical solutions of the radial viscous fingering problems in a Hele-Shaw cell. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 4, pp. 475-482. http://geodesic.mathdoc.fr/item/JSFU_2021_14_4_a8/