2 papers
math.AP2009
Global existence for a translating near-circular Hele-Shaw bubble with surface tension
J. Ye, S. Tanveer
This paper concerns global existence for arbitrary nonzero surface tension of bubbles in a Hele-Shaw cell that translate in the presence of a pressure gradient. When the cell width…
math.DS2008
Global solutions for two-phase Hele-Shaw bubble for a near-circular initial shape
J. Ye, S. Tanveer
Using a vortex sheet method we prove global existence of a near circular initial bubble in a Hele-Shaw cell with surface tension and generally finite nonzero viscosity ratio betwee…