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In this paper, we study the long-time behaviour of solutions to the Vlasov-Fokker-Planck equation where the confining potential is non-convex.
Brownian motion in a field of force and the diffusion model of chemical reactions
H. A. Kramers · 1940
Earlier work this paper cites.
A class of Markov processes associated with nonlinear parabolic equations
H. P. McKean, Jr · 1966
Earlier work this paper cites.
Propagation of chaos for a class of nonlinear parabolic equations
H. P. McKean, Jr · 1967
Earlier work this paper cites.
Critical dynamics and fluctuations for a mean-field model of cooperative behavior
D. A. Dawson, · 1983
Earlier work this paper cites.
On asymptotic behaviors of the solution of a nonlinear diffusion equation
Y. Tamura · 1984
Earlier work this paper cites.
Free energy and the convergence of distributions of diffusion processes of McKean type
Y. Tamura · 1987
Earlier work this paper cites.
On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials
F. Bouchut and J. Dolbeault · 1995
Earlier work this paper cites.
Asymptotic behavior of an initial-boundary value problem for the Vlasov-Poisson-Fokker-Planck system
L. L. Bonilla, J. A. Carrillo and J. Soler · 1997
Earlier work this paper cites.
Nonlinear self-stabilizing processes. II. Convergence to invariant probability
S. Benachour, B. Roynette, and P. Vallois · 1998
Earlier work this paper cites.
A non-Maxwellian steady distribution for one-dimensional granular media
D. Benedetto, E. Caglioti, J. A. Carrillo, and M. Pulvirenti · 1998
Earlier work this paper cites.
Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
J. A. Carrillo, R. J. McCann, and C. Villani · 2003
Cited alongside, same era.
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F. Malrieu · 2003
Cited alongside, same era.
Contractions in the 2-Wasserstein Length Space and Thermalization of Granular Media
J. A. Carrillo, R. J. McCann and C. Villani · 2006
Cited alongside, same era.
Probabilistic approach for granular media equations in the non-uniformly convex case
P. Cattiaux, A. Guillin, and F. Malrieu · 2008
Cited alongside, same era.
Large deviations and a Kramers’ type law for self-stabilizing diffusions
S. Herrmann, P. Imkeller, and D. Peithmann · 2008
Cited alongside, same era.
Uniform convergence to equilibrium for granular media
F. Bolley, I. Gentil and A. Guillin · 2013
Later among the works it cites.
Convergence to the equilibria for self-stabilizing processes in double-well landscape
J. Tugaut · 2013
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Self-stabilizing processes in multi-wells landscape in ℝ d \mathbb{R}^{d} - Convergence
J. Tugaut · 2013
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Self-stabilizing Processes in Multi-wells Landscape in ℝ d \mathbb{R}^{d} -Invariant Probabilities
J. Tugaut · 2014
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Phase transitions of McKean-Vlasov processes in double-wells landscape
J. Tugaut · 2014
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Long time behaviour and particle approximation of a generalised Vlasov dynamic
M. H. Duong · 2015
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