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Propagation of chaos: A review of models, methods and applications. Ⅱ. Applications
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An Elo-type rating model for players and teams of variable strength
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Analysis of Spherical Shell Solutions for the Radially Symmetric Aggregation Equation
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Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces
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A second order analysis of McKean–Vlasov semigroups
Implicit–explicit schemes for nonlinear nonlocal equations with a gradient flow structure in one space dimension
Raimund Bürger, Daniel Inzunza, Pep Mulet and Luis Miguel Villada Numerical Methods for Partial Differential Equations 35(3) 1008 (2019) https://doi.org/10.1002/num.22336
Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation
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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
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A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials
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Equilibrium large deviations for mean-field systems with translation invariance
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
Razvan C. Fetecau, Ihsan Topaloglu and Rustum Choksi Annales de l'Institut Henri Poincaré C, Analyse non linéaire 32(6) 1283 (2015) https://doi.org/10.1016/j.anihpc.2014.09.004
Remarks on a class of kinetic models of granular media: Asymptotics and entropy bounds
Contractivity of Transport Distances for the Kinetic Kuramoto Equation
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Emergent behaviour in multi-particle systems with non-local interactions
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Nonlocal interactions by repulsive–attractive potentials: Radial ins/stability
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Aggregation patterns from nonlocal interactions: Discrete stochastic and continuum modeling