59 citations · 128 across the 17 of their papers we have counts for
12 papers · 1 filter
Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group
Giovanna Citti, Nicolas Dirr, Federica Dragoni +1
We derive curvature flows in the Heisenberg group by formal asymptotic expansion of a nonlocal mean-field equation under the anisotropic rescaling of the Heisenberg group. This is…
Asymptotics for optimal controls for horizontal mean curvature flow
Nicolas Dirr, Federica Dragoni, Raffaele Grande
The solutions to surface evolution problems like mean curvature flow can be expressed as value functions of suitable stochastic control problems, obtained as limit of a family of r…
Scaling limits and stochastic homogenization for some nonlinear parabolic equations
Pierre Cardaliaguet, Nicolas Dirr, Panagiotis E. Souganidis
The aim of this paper is twofold. The first is to study the asymptotics of a parabolically scaled, continuous and space-time stationary in time version of the well-known Funaki-Spo…
- convergence and homogenisation for a class of degenerate functionals
Nicolas Dirr, Federica Dragoni, Paola Mannucci +1
This paper is on -convergence for degenerate integral functionals related to homogenisation problems in the Heisenberg group. Here both the rescaling and the notion of invarianc…
Stochastic homogenization for functionals with anisotropic rescaling and non-coercive Hamilton-Jacobi equations
Nicolas Dirr, Federica Dragoni, Paola Mannucci +1
We study the stochastic homogenization for a Cauchy problem for a first-order Hamilton-Jacobi equation whose operator is not coercive w.r.t. the gradient variable. We look at Hamil…
Homogenization of a semilinear heat equation
Annalisa Cesaroni, Nicolas Dirr, Matteo Novaga
We consider the homogenization of a semilinear heat equation with vanishing viscosity and with oscillating positive potential depending on . According to the rate be…