3 citations · 3 across the 3 of their papers we have counts for
5 papers · 1 filter
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…
An example of failure of stochastic homogenization for viscous Hamilton-Jacobi equations without convexity
William M. Feldman, Jean-Baptiste Fermanian, Bruno Ziliotto
We give an example of the failure of homogenization for a viscous Hamilton-Jacobi equation with non-convex Hamiltonian.
Limit shapes of local minimizers for the Alt-Caffarelli energy functional in inhomogeneous media
William M Feldman
This paper considers the Alt-Caffarelli free boundary problem in a periodic medium. This is a convenient model for several interesting phenomena appearing in the study of contact l…
Stability of Serrin's Problem and Dynamic Stability of a Model for Contact Angle Motion
William M. Feldman
We study the quantitative stability of Serrin's symmetry problem and it's connection with a dynamic model for contact angle motion of quasi-static capillary drops. We prove a new s…