114 citations · 295 across the 7 of their papers we have counts for
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math.AP2013
Nonlinear diffusion: Geodesic Convexity is equivalent to Wasserstein Contraction
François Bolley, José A. Carrillo
It is well known that nonlinear diffusion equations can be interpreted as a gradient flow in the space of probability measures equipped with the Euclidean Wasserstein distance. Und…
math.AP2012★ 108 cited
Uniform convergence to equilibrium for granular media
François Bolley, Ivan Gentil, Arnaud Guillin
We study the long time asymptotics of a nonlinear, nonlocal equation used in the modelling of granular media. We prove a uniform exponential convergence to equilibrium for degenera…
math.AP2005
Contractive metrics for scalar conservation laws
F. Bolley, Y. Brenier, G. Loeper
We consider nondecreasing entropy solutions to 1-d scalar conservation laws and show that the spatial derivatives of such solutions satisfy a contraction property with respect to t…