Geodesic
Classical solvability of the radial viscous fingering problem in a Hele–Shaw cell
Matematičeskie zametki SVFU, Tome 25 (2018) no. 3, pp. 92-114 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We discuss a single-phase radial viscous fingering problem in a Hele–Shaw cell, which is a nonlinear problem with a free boundary for an elliptic equation. Unlike the Stefan problem for heat equation Hele–Shaw problem is of hydrodynamic type. In this paper a single-phase Hele–Shaw problem in a radial flow geometry admits a unique classical solution by applying the same method as for Stefan problem and justifying the vanishing the coefficient of the derivative with respect to time in a parabolic equation.
Keywords: radial viscous fingering, Hele–Shaw problem
Mots-clés : unique classical solution. 
@article{SVFU_2018_25_3_a6,
     author = {A. Tani and H. Tani},
     title = {Classical solvability of the radial viscous fingering problem in a {Hele{\textendash}Shaw} cell},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {92--114},
     year = {2018},
     volume = {25},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2018_25_3_a6/}
}
TY  - JOUR
AU  - A. Tani
AU  - H. Tani
TI  - Classical solvability of the radial viscous fingering problem in a Hele–Shaw cell
JO  - Matematičeskie zametki SVFU
PY  - 2018
SP  - 92
EP  - 114
VL  - 25
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/SVFU_2018_25_3_a6/
LA  - en
ID  - SVFU_2018_25_3_a6
ER  - 
%0 Journal Article
%A A. Tani
%A H. Tani
%T Classical solvability of the radial viscous fingering problem in a Hele–Shaw cell
%J Matematičeskie zametki SVFU
%D 2018
%P 92-114
%V 25
%N 3
%U http://geodesic.mathdoc.fr/item/SVFU_2018_25_3_a6/
%G en
%F SVFU_2018_25_3_a6
A. Tani; H. Tani. Classical solvability of the radial viscous fingering problem in a Hele–Shaw cell. Matematičeskie zametki SVFU, Tome 25 (2018) no. 3, pp. 92-114. http://geodesic.mathdoc.fr/item/SVFU_2018_25_3_a6/