On the breakup of air bubbles in Hele-Shaw cell
Mathematical Physics
2008-05-02 v1 Complex Variables
math.MP
Abstract
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 contraction points of its parts. We also study regulated contraction of a pair of bubbles (in which the rates of air extraction from the bubbles is controlled), and study various asymptotic questions (such as the asymptotics of contraction of a bubble to a degenerate critical point, and asymptotics of contraction of a small bubble in presence of a big bubble).
Keywords
Cite
@article{arxiv.0805.0020,
title = {On the breakup of air bubbles in Hele-Shaw cell},
author = {Vladimir Entov and Pavel Etingof},
journal= {arXiv preprint arXiv:0805.0020},
year = {2008}
}
Comments
20 pages, 11 figures