105 citations · 179 across the 5 of their papers we have counts for
7 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…
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…
Normal random matrix ensemble as a growth problem
R. Teodorescu, E. Bettelheim, O. Agam +2
In general or normal random matrix ensembles, the support of eigenvalues of large size matrices is a planar domain (or several domains) with a sharp boundary. This domain evolves u…
Large N expansion for normal and complex matrix ensembles
P. Wiegmann, A. Zabrodin
We present the first two leading terms of the 1/N (genus) expansion of the free energy for ensembles of normal and complex random matrices. The results are expressed through the su…
Viscous fingering and a shape of an electronic droplet in the Quantum Hall regime
Oded Agam, Eldad Bettelheim, P. Wiegmann +1
We show that the semiclassical dynamics of an electronic droplet confined in the plane in a quantizing inhomogeneous magnetic field in the regime when the electrostatic interaction…