23 citations · 55 across the 4 of their papers we have counts for
4 papers
Dynamical Systems approach to Saffman-Taylor fingering. A Dynamical Solvability Scenario
E. Paune, F. X. Magdaleno, J. Casademunt
A dynamical systems approach to competition of Saffman-Taylor fingers in a channel is developed. This is based on the global study of the phase space structure of the low-dimension…
Interface dynamics in Hele-Shaw flows with centrifugal forces. Preventing cusp singularities with rotation
F. X. Magdaleno, A. Rocco, J. Casademunt
A class of exact solutions of Hele-Shaw flows without surface tension in a rotating cell is reported. We show that the interplay between injection and rotation modifies drastically…
Two-finger selection theory in the Saffman-Taylor problem
F. X. Magdaleno, J. Casademunt
We find that solvability theory selects a set of stationary solutions of the Saffman-Taylor problem with coexistence of two \it unequal \rm fingers advancing with the same velocity…
Surface tension and dynamics of fingering patterns
F. X. Magdaleno, J. Casademunt
We study the minimal class of exact solutions of the Saffman-Taylor problem with zero surface tension, which contains the physical fixed points of the regularized (non-zero surface…