27 citations · 165 across the 23 of their papers we have counts for
5 papers · 1 filter
Shocks and finite-time singularities in Hele-Shaw flow
Seung-Yeop Lee, Razvan Teodorescu, Paul Wiegmann
Hele-Shaw flow at vanishing surface tension is ill-defined. In finite time, the flow develops cusp-like singularities. We show that the ill-defined problem admits a weak {\it dispe…
Weak solution of the Hele-Shaw problem: shocks and viscous fingering
Seung-Yeop Lee, Razvan Teodorescu, Paul Wiegmann
In Hele-Shaw flows, boundaries between fluids develop unstable viscous fingers. At vanishing surface tension, the fingers further evolve to cusp-like singularities. We show that th…
Optimal approximation of harmonic growth clusters by orthogonal polynomials
Ferenc Balogh, Razvan Teodorescu
Interface dynamics in two-dimensional systems with a maximal number of conservation laws gives an accurate theoretical model for many physical processes, from the hydrodynamics of…
Random Matrices in 2D, Laplacian Growth and Operator Theory
Mark Mineev-Weinstein, Mihai Putinar, Razvan Teodorescu
Since it was first applied to the study of nuclear interactions by Wigner and Dyson, almost 60 years ago, Random Matrix Theory (RMT) has developed into a field of its own within ap…
Belief Propagation and Loop Series on Planar Graphs
Michael Chertkov, Vladimir Y. Chernyak, Razvan Teodorescu
We discuss a generic model of Bayesian inference with binary variables defined on edges of a planar graph. The Loop Calculus approach of [1, 2] is used to evaluate the resulting se…