41 citations · 100 across the 17 of their papers we have counts for
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math.AP2011★ 3 cited
Variational formulation of the Fokker-Planck equation with decay: a particle approach
Mark Peletier, Michiel Renger, Marco Veneroni
We introduce a stochastic particle system that corresponds to the Fokker-Planck equation with decay in the many-particles limit, and study its large deviations. We show that the la…
math.AP2011
Stochastic homogenization of subdifferential inclusions via scale integration
Marco Veneroni
We study the stochastic homogenization of the system -div σ^ε= f^εσ^ε\in \partial ϕ^ε(\nabla u^ε), where (ϕ^ε) is a sequence of convex stationary random fields, with p-growth. We p…
math.AP2011★ 41 cited
Passing to the Limit in a Wasserstein Gradient Flow: From Diffusion to Reaction
Steffen Arnrich, Alexander Mielke, Mark A. Peletier +2
We study a singular-limit problem arising in the modelling of chemical reactions. At finite ε > 0, the system is described by a Fokker-Planck convection-diffusion equation with a d…