105 citations · 294 across the 8 of their papers we have counts for
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nlin.SI2005★ 20 cited
Singular limit of Hele-Shaw flow and dispersive regularization of shock waves
Eldad Bettelheim, Oded Agam, Anton Zabrodin +1
We study a family of solutions to the Saffman-Taylor problem with zero surface tension at a critical regime. In this regime, the interface develops a thin singular finger. The flow…
cond-mat.mes-hall2005★ 27 cited
Unstable fingering patterns of Hele-Shaw flows as a dispersionless limit of the KdV hierarchy
R. Teodorescu, A. Zabrodin, P. Wiegmann
We show that unstable fingering patterns of two dimensional flows of viscous fluids with open boundary are described by a dispersionless limit of the KdV hierarchy. In this framewo…