41 citations · 100 across the 17 of their papers we have counts for
10 papers · 1 filter
Well-posedness and discrete-to-continuum convergence of the Kirchhoff Network model
Joaquín Oyarzún, Marco Veneroni
In this work, we study the connection between the bidomain model of cardiac electrophysiology and the Kirchhoff Network model (KNM), that was recently introduced by Jäger and Tveit…
Stochastic homogenization of maximal monotone relations and applications
Luca Lussardi, Stefano Marini, Marco Veneroni
We study the homogenization of a stationary random maximal monotone operator on a probability space equipped with an ergodic dynamical system. The proof relies on Fitzpatrick's var…
Global minimizers for the doubly-constrained Helfrich energy: the axisymmetric case
Rustum Choksi, Marco Veneroni
Since the pioneering work of Canham and Helfrich, variational formulations involving curvature-dependent functionals, like the classical Willmore functional, have proven useful for…
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…
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…
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…