27 citations · 64 across the 3 of their papers we have counts for
4 papers
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…
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…
Matrix models and growth processes: from viscous flows to the quantum Hall effect
A. Zabrodin
We review the recent developments in the theory of normal, normal self-dual and general complex random matrices. The distribution and correlations of the eigenvalues at large scale…
Semiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy
R. Teodorescu, E. Bettelheim, O. Agam +2
We continue the analysis of the spectral curve of the normal random matrix ensemble, introduced in an earlier paper. Evolution of the full quantum curve is given in terms of compat…