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math.CV2014★ 3 cited
Non-univalent solutions of the Polubarinova-Galin equation
Björn Gustafsson, Yu-Lin Lin
We study non-univalent solutions of the Polubarinova-Galin equation, describing the time evolution of the conformal map from the unit disk onto a Hele-Shaw blob of fluid subject to…
math.CV2011
On the dynamics of roots and poles for solutions of the Polubarinova-Galin equation
Björn Gustafsson, Yu-Lin Lin
We study the dynamics of roots of f'(z,t), where f(z,t) is a locally univalent polynomial solution of the Polubarinova-Galin equation for the evolution of the conformal map onto a…