17 citations · 17 across the 3 of their papers we have counts for
3 papers
math.AP2019
Optimal periodic structures with general space group symmetries in the Ohta-Kawasaki problem
Jan Bouwe van den Berg, JF Williams
We consider the problem of rigorously computing periodic minimizers to the Ohta-Kawasaki energy. We develop a method to prove existence of solutions and determine rigorous bounds o…
math.NA2011★ 17 cited
Riemann solver for a kinematic wave traffic model with discontinuous flux
Jeffrey K. Wiens, John M. Stockie, JF Williams
We investigate a model for traffic flow based on the Lighthill-Whitham-Richards model that consists of a hyperbolic conservation law with a discontinuous, piecewise-linear flux. A…
math.AP2011
(In-)Stability of Singular Equivariant Solutions to the Landau-Lifshitz-Gilbert Equation
Jan Bouwe van den Berg, JF Williams
In this paper we use formal asymptotic arguments to understand the stability proper- ties of equivariant solutions to the Landau-Lifshitz-Gilbert model for ferromagnets. We also an…