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In this article, we adapt the work of Jabin and Wang (2018) to show the first result of uniform in time propagation of chaos for a class of singular interaction kernels.
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A.A. Vlasov · 1968
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Topics in propagation of chaos
Alain-Sol Sznitman · 1991
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Matania Ben-Artzi · 1994
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Mathematical theory of incompressible nonviscous fluids
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Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models
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The point-vortex method for periodic weak solutions of the 2-D Euler equations
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Sur les inégalités de Sobolev logarithmiques
Cécile Ané, Sébastien Blachère, Djalil Chafaï, Pierre Fougères, Ivan Gentil, Florent Malrieu, Cyril Roberto, and Grégory Scheffer · 2000
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Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
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Logarithmic Sobolev inequalities for some nonlinear PDE’s
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On the equation div Y = f {\rm div}\,Y=f and application to control of phases
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Inégalités de sobolev logarithmique et de poincaré pour la loi uniforme
Ivan Gentil · 2004
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Quantitative concentration inequalities for empirical measures on non-compact spaces
François Bolley, Arnaud Guillin, and Cédric Villani · 2007
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Characterizations of the existence and removable singularities of divergence-measure vector fields
Nguyen Cong Phuc and Monica Torres · 2008
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Partial differential equations
Lawrence C. Evans · 2010
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Analysis and geometry of Markov diffusion operators
Dominique Bakry, Ivan Gentil, and Michel Ledoux · 2014
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Propagation of chaos for the 2D viscous vortex model
Nicolas Fournier, Maxime Hauray, and Stéphane Mischler · 2014
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Mean-field limit and quantitative estimates with singular attractive kernels
Didier Bresch, Pierre-Emmanuel Jabin, and Zhenfu Wang · 2020
Later among the works it cites.
An elementary approach to uniform in time propagation of chaos
Alain Durmus, Andreas Eberle, Arnaud Guillin, and Raphael Zimmer · 2020
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Uniform in time weak propagation of chaos on the torus
François Delarue and Alvin Tse · 2021
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Uniform-in-Time Propagation of Chaos for Mean Field Langevin Dynamics
Fan Chen, Zhenjie Ren, and Songbo Wang · 2022
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Convergence of a particle approximation for the quasi-stationary distribution of a diffusion process: uniform estimates in a compact soft case
Lucas Journel and Pierre Monmarché · 2022
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