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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.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…