Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis

DOI10.4310/CMS.2017.v15.n7.a2zbMath1390.35136OpenAlexW2766617320MaRDI QIDQ1709631

Hui Huang, Jian-Guo Liu

Publication date: 6 April 2018

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2017.v15.n7.a2

zbMATH Keywords

Brownian motionchemotaxiskernel density estimationconcentration inequalitysplitting schemecoupling methodinteracting particle systemNewtonian aggregation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system ⋮ Zero-diffusion limit for aggregation equations over bounded domains ⋮ Propagation of chaos for the Keller-Segel equation over bounded domains ⋮ Learning interacting particle systems: Diffusion parameter estimation for aggregation equations ⋮ The microscopic derivation and well-posedness of the stochastic Keller-Segel equation ⋮ Efficient numerical algorithms based on difference potentials for chemotaxis systems in 3D

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