A Cauchy integral approach to Hele-Shaw problems with a free boundary: The case of zero surface tension

Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel

S. M. Richardson · Journal of Fluid Mechanics · 1972 · 365 citations

Natural Sciences, Mathematics, Physics +8

Hele - Shaw flow and pattern formation in a time-dependent gap

Michael Shelley, Fei-Ran Tian, Krzysztof Maciej Wlodarski · Nonlinearity · 1997 · 138 citations

Engineering, Physics, Computational Fluid Dynamics +15

Global solutions for small data to the Hele-Shaw problem

Peter Constantin, M. C. Pugh · Nonlinearity · 1993 · 129 citations

Natural Sciences, Mathematics, Differential Equations +15

Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows

Björn Gustafsson · SIAM Journal on Mathematical Analysis · 1985 · 96 citations

Natural Sciences, Mathematics, Physics +17

On the breakdown of Hele-Shaw solutions with nonzero surface tension

Fei Tian · Journal of Nonlinear Science · 1995 · 16 citations

Natural Sciences, Materials Science, Surface Science +8