5 citations · 6 across the 7 of their papers we have counts for
7 papers · 1 filter
Minimizing movements solutions for a monotone model of droplet motion
Carson Collins, William M Feldman
We study the uniqueness and regularity of minimizing movements solutions of a droplet model in the case of piecewise monotone forcing. We show that such solutions evolve uniquely o…
On convex comparison for exterior Bernoulli problems with discontinuous anisotropy
William M Feldman, Norbert Pozar
We give a new proof of a convex comparison principle for exterior Bernoulli free boundary problems with discontinuous anisotropy.
The sharp interface limit of an Ising game
William M Feldman, Inwon C Kim, Aaron Zeff Palmer
The Ising model of statistical physics has served as a keystone example of phase transitions, thermodynamic limits, scaling laws, and many other phenomena and mathematical methods.…
Quantitative homogenization of principal Dirichlet eigenvalue shape optimizers
William M Feldman
We apply new results on free boundary regularity of one-phase almost minimizers in periodic media to obtain a quantitative convergence rate for the shape optimizers of the first Di…
Quantitative convergence of the "bulk'' free boundary in an oscillatory obstacle problem
Farhan Abedin, William M Feldman
We consider an oscillatory obstacle problem where the coincidence set and free boundary are also highly oscillatory. We establish a rate of convergence for a regularized notion of…
Homogenization and Non-Homogenization of certain Non-Convex Hamilton-Jacobi Equations
William M. Feldman, Panagiotis E. Souganidis
We continue the study of the homogenization of coercive non-convex Hamilton-Jacobi equations in random media identifying two general classes of Hamiltonians with very distinct beha…