J. Elezgaray, MODELING THE SINGULARITY DYNAMICS OF A HELE-SHAW FLOW, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(6), 1998, pp. 6884-6887
A simple dynamical model approximating the complex singularity motion
of a Hele-Shaw flow is introduced. This model describes accurately sec
ondary tip-splitting instabilities and remains valid for values of the
surface tension and time intervals where previous perturbative calcul
ations do not apply.