3 papers
math.MG2016
An isoperimetric inequality for planar triangulations
Omer Angel, Itai Benjamini, Nizan Horesh
We prove a discrete analogue to a classical isoperimetric theorem of Weil for surfaces with non-positive curvature. It is shown that hexagons in the triangular lattice have maximal…
nlin.CD2003
Shell Model of Two-dimensional Turbulence in Polymer Solutions
Roberto Benzi, Nizan Horesh, Itamar Procaccia
We address the effect of polymer additives on two dimensional turbulence, an issue that was studied recently in experiments and direct numerical simulations. We show that the same…
nlin.CD2003
Theory of Concentration Dependence in Drag Reduction by Polymers and of the MDR asymptote
R. Benzi, E. S. C. Ching, N. Horesh +1
A simple model of the effect of polymer concentration on the amount of drag reduction in turbulence is presented, simulated and analyzed. The qualitative phase diagram of drag coef…