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math.AP2019
On the influence of cross-diffusion in pattern formation
Maxime Breden, Christian Kuehn, Cinzia Soresina
In this paper we consider the Shigesada-Kawasaki-Teramoto (SKT) model to account for stable inhomogeneous steady states exhibiting spatial segregation, which describe a situation 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…
math.AP2018
Rigorous study of the equilibria of collision kernels appearing in the theory of weak turbulence
Maxime Breden, Laurent Desvillettes
In this paper, we rigorously obtain all the equilibria of collision kernels of type "two particles give two particles" appearing in weak turbulence theory under very general assump…