5 citations · 9 across the 4 of their papers we have counts for
4 papers
Recovering coercivity for the G-equation in general random media
William M Feldman
The G-equation is a popular model for premixed turbulent combustion. Mathematically it has attracted a lot of interest in part because it is a simple example of a Hamilton-Jacobi e…
Mean curvature flow with positive random forcing in 2-d
William M Feldman
We consider the forced mean curvature flow in 2-d, finite range of dependence and positive random forcing. We prove flatness and existence of effective speed for initially flat pro…
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…
Quantitative Homogenization of Elliptic PDE with Random Oscillatory Boundary Data
William M. Feldman, Inwon Kim, Panagiotis E. Souganidis
We study the averaging behavior of nonlinear uniformly elliptic partial differential equations with random Dirichlet or Neumann boundary data oscillating on a small scale. Under co…