Geodesic
Classical solvability of the radial viscous fingering problem in a Hele–Sha cell with surface tension
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 2, pp. 79-92 Cet article a éte moissonné depuis la source Math-Net.Ru

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We discuss one-phase radial viscous fingering problem in a Hele–Sha cell with surface tension, which is a nonlinear problem with a free boundary for elliptic equations. Unlike the Stefan problem for heat equation Hele–Sha problem is of hydrodynamic type. In this paper the classical solvability of one-phase Hele–Sha problem with radial geometry is established by applying the same method as for the Stefan problem and justifying the vanishing the coefficient of the time-derivative in a parabolic equation.
Keywords: radial viscous fingering, Hele–Sha problem, classical solution.
Mots-clés : surface tension 
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Hisasi Tani. Classical solvability of the radial viscous fingering problem in a Hele–Sha cell with surface tension. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 2, pp. 79-92. http://geodesic.mathdoc.fr/item/VNGU_2016_16_2_a7/

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