1 citations · 1 across the 3 of their papers we have counts for
5 papers
Granular media equation with double-well external landscape: limiting steady state
Julian Tugaut
In this paper, we give a simple condition on the initial state of the granular media equation which ensures that the limit as the time goes to infinity is the unique steady state w…
On the exit-problem for self-interacting diffusions
Ashot Aleksian, Pierre Del Moral, Aline Kurtzmann +1
We study the exit-time from a domain of a self-interacting diffusion, where the Brownian motion is replaced by for a constant . The first part of this work consists in sh…
Reducing exit-times of diffusions with repulsive interactions
Paul-Eric Chaudru de Raynal, Manh Hong Duong, Pierre Monmarché +2
In this work we prove a Kramers' type law for the low-temperature behavior of the exit-times from a metastable state for a class of self-interacting nonlinear diffusion processes.…
Coupled McKean-Vlasov diffusions: wellposedness, propagation of chaos and invariant measures
Manh Hong Duong, Julian Tugaut
In this paper, we study a two-species model in the form of a coupled system of nonlinear stochastic differential equations (SDEs) that arises from a variety of applications such as…
The Vlasov-Fokker-Planck equation in non-convex landscapes: convergence to equilibrium
Manh Hong Duong, Julian Tugaut
In this paper, we study the long-time behaviour of solutions to the Vlasov-Fokker-Planck equation where the confining potential is non-convex. This is a nonlocal nonlinear partial…