On the breakup of air bubbles in Hele-Shaw cell - Mathematical PhysicsReport as inadecuate




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Abstract: We study the problem of breakup of an air bubble in a Hele-Shaw cell. Inparticular, we propose some sufficient conditions of breakup of the bubble, andways to find the contraction points of its parts. We also study regulatedcontraction of a pair of bubbles in which the rates of air extraction from thebubbles is controlled, and study various asymptotic questions such as theasymptotics of contraction of a bubble to a degenerate critical point, andasymptotics of contraction of a small bubble in presence of a big bubble.



Author: Vladimir Entov, Pavel Etingof

Source: https://arxiv.org/







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