77 citations · 161 across the 14 of their papers we have counts for
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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…
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…
Stationary solutions of the Vlasov-Fokker-Planck equation: existence, characterization and phase-transition
Manh Hong Duong, Julian Tugaut
In this paper, we study the set of stationary solutions of the Vlasov-Fokker-Planck (VFP) equation. This equation describes the time evolution of the probability distribution of a…