Classical Solvability of the Radial Viscous Fingering Problem in a Hele–Shaw Cell with Surface Tension
- Autores: Tani H.1
-
Afiliações:
- Keio University
- Edição: Volume 228, Nº 4 (2018)
- Páginas: 449-462
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240273
- DOI: https://doi.org/10.1007/s10958-017-3634-7
- ID: 240273
Citar
Resumo
We consider the one-phase problem on radial viscous fingering structures in a Hele–Shaw cell with surface tension. This problem is a nonlinear free-boundary problem for elliptic equations. Unlike the Stefan problem for the heat equation, we deal with a problem of hydrodynamic type. We establish the classical solvability of the one-phase Hele–Shaw problem with radial geometry by using the same method as that used for the Stefan problem and justifying the vanishing coefficient of the time-derivative in the parabolic equation.
Sobre autores
H. Tani
Keio University
Autor responsável pela correspondência
Email: tani@math.keio.ac.jp
Japão, 3-14-1 Hiyoshi, Yokohama, 223-8522