Propagation of chaos for the Keller-Segel equation with a logarithmic cut-off

DOI10.4310/MAA.2019.v26.n4.a2zbMath1442.35199MaRDI QIDQ2188826

Jian-Guo Liu, Rong Yang

Publication date: 15 June 2020

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

zbMATH Keywords

stability in Wasserstein metricuniqueness of weak solutionmeanfield limit\(\log\)-Lipschitz continuity\(L^{\infty}\) boundnewtonian potential aggregationself-gravitating Brownian particles system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22) Applications of stochastic analysis (to PDEs, etc.) (60H30) PDEs with randomness, stochastic partial differential equations (35R60) PDEs in connection with statistical mechanics (35Q82) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (7)

Propagation of chaos for large Brownian particle system with Coulomb interaction ⋮ On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system ⋮ A random particle blob method for the Keller-Segel equation and convergence analysis ⋮ Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos ⋮ On the collisions of an \(N\)-particle system interacting via the Newtonian gravitational potential ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications ⋮ Error estimate of a random particle blob method for the Keller-Segel equation

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