105 citations · 153 across the 4 of their papers we have counts for
9 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…
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…
Tip-splitting evolution in the idealized Saffman-Taylor problem
E. Bettelheim, O. Agam
We derive a formula describing the evolution of tip-splittings of Saffman-Taylor fingers in a Hele-Shaw cell, at zero surface tension.
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…
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…
The Accuracy of Semiclassical Quantization for Integrable Systems
Saar Rahav, Oded Agam, Shmuel Fishman
The eigenvalues of the Hyperspherical billiard are calculated in the semiclassical approximation. The eigenvalues where this approximation fails are identified and found to be rela…