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We provide an estimation of the dissipation of the Wasserstein 2 distance between the law of some interacting $N$-particle system, and the $N$ times tensorized product of solution to the corresponding limit nonlinear conservation law.
A class of markov processes associated with nonlinear parabolic equations
H.-P. McKean, · 1907
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Superadditivity of Fisher’s Information and Logarithmic Sobolev Inequalities
E. Carlen · 1979
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Logarithmic Sobolev inequalities for some nonlinear PDE’s
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Gradient Flows in Metric Spaces and in the Space of Probability Measures,
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On the rate of convergence in Wasserstein distance of the empirical measure
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Propagation of chaos for Hölder continuous interaction kernels via Glivenko-Cantelli
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Mean field limit and propagation of chaos for Vlasov systems with bounded forces
P.-E. Jabin, Z. Wang, · 2016
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Quantitative estimate of propagation of chaos for stochastic systems with W − 1 , ∞ W^{-1,\infty} kernels
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An Elementary Approach To Uniform In Time Propagation Of Chaos
A. Durmus, A. Eberle, A. Guillin, R. Zimmer
Cited in the paper.
S. Salem,
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P.-E. Jabin, Z. Wang, · 2018
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