85 citations · 170 across the 17 of their papers we have counts for
4 papers · 1 filter
Mean curvature, threshold dynamics, and phase field theory on finite graphs
Yves van Gennip, Nestor Guillen, Braxton Osting +1
In the continuum, close connections exist between mean curvature flow, the Allen-Cahn (AC) partial differential equation, and the Merriman-Bence-Osher (MBO) threshold dynamics sche…
Global well-posedness for the homogeneous Landau equation
Maria Gualdani, Nestor Guillen
Global well-posedness and exponential decay to equilibrium are proved for the homogeneous Landau equation from kinetic theory. The initial distribution is only assumed to be bounde…
Quasistatic Droplet percolation
Nestor Guillen, Inwon Kim
We consider the Hele-Shaw problem in a randomly perforated domain with zero Neumann boundary conditions. A homogenization limit is obtained as the characteristic scale of the domai…
The local geometry of maps with c-convex potentials
Nestor Guillen, Jun Kitagawa
We identify a condition for regularity of optimal transport maps that requires only three derivatives of the cost function, for measures given by densities that are only bounded ab…