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Propagation of chaos: A review of models, methods and applications. Ⅱ. Applications
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Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations
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A duality formula and a particle Gibbs sampler for continuous time Feynman-Kac measures on path spaces
Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces
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Solutions of a non‐local aggregation equation: Universal bounds, concavity changes, and efficient numerical solutions
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Analysis of Spherical Shell Solutions for the Radially Symmetric Aggregation Equation
Daniel Balagué Guardia, Alethea Barbaro, Jose A. Carrillo and Robert Volkin SIAM Journal on Applied Dynamical Systems 19(4) 2628 (2020) https://doi.org/10.1137/20M1314549
Cardinality estimation of support of the global minimizer for the interaction energy with mildly repulsive potentials
Implicit–explicit schemes for nonlinear nonlocal equations with a gradient flow structure in one space dimension
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A variational approach to nonlinear and interacting diffusions
Zoology of a Nonlocal Cross-Diffusion Model for Two Species
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Convergence to equilibrium in the free Fokker–Planck equation with a double-well potential
Catherine Donati-Martin, Benjamin Groux and Mylène Maïda Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 54(4) (2018) https://doi.org/10.1214/17-AIHP856
Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species
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Convergence of a linearly transformed particle method for aggregation equations
Boundary layer analysis from the Keller-Segel system to the aggregation system in one space dimension
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On minimizers of interaction functionals with competing attractive and repulsive potentials
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Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations
Contractivity of Transport Distances for the Kinetic Kuramoto Equation
José A. Carrillo, Young-Pil Choi, Seung-Yeal Ha, Moon-Jin Kang and Yongduck Kim Journal of Statistical Physics 156(2) 395 (2014) https://doi.org/10.1007/s10955-014-1005-z
Emergent behaviour in multi-particle systems with non-local interactions
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Blow-up dynamics of self-attracting diffusive particles driven by competing convexities
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AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS
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Swarm dynamics and equilibria for a nonlocal aggregation model