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math-ph2008
On the breakup of air bubbles in Hele-Shaw cell
Vladimir Entov, Pavel Etingof
We study the problem of breakup of an air bubble in a Hele-Shaw cell. In particular, we propose some sufficient conditions of breakup of the bubble, and ways to find the contractio…
math-ph2005
On a Generalized Two-Fluid Hele-Shaw Flow
Vladimir Entov, Pavel Etingof
We propose a method of construction of exact solutions of free boundary problems corresponding to Hele-Shaw flows in presence of an external field. Such a field may arise, in parti…