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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.AP2019
Spontaneous periodic orbits in the Navier-Stokes flow
Jan Bouwe van den Berg, Maxime Breden, Jean-Philippe Lessard +1
In this paper, a general method to obtain constructive proofs of existence of periodic orbits in the forced autonomous Navier-Stokes equations on the three-torus is proposed. After…