On the mean field limit for Brownian particles with Coulomb interaction in 3D

DOI10.1063/1.5114854zbMath1431.82019arXiv1811.07797OpenAlexW2900596942WikidataQ126843071 ScholiaQ126843071MaRDI QIDQ5206020

Jian-Guo Liu, Pu Yu, Lei Li

Publication date: 17 December 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.07797

zbMATH Keywords

weak solutionFokker-Planck equationBrownian particlesCoulomb interaction

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Weak solutions to PDEs (35D30)

Related Items (10)

Random Batch Methods for Classical and Quantum Interacting Particle Systems and Statistical Samplings ⋮ On the mean‐field limit for the consensus‐based optimization ⋮ Global-in-time mean-field convergence for singular Riesz-type diffusive flows ⋮ Hydrodynamic limit of a stochastic model of proliferating cells with chemotaxis ⋮ A Random-Batch Monte Carlo Method for Many-Body Systems with Singular Kernels ⋮ Mean-Field Limit Derivation of a Monokinetic Spray Model with Gyroscopic Effects ⋮ Mean field limit for Coulomb-type flows ⋮ Large time behavior, bi-Hamiltonian structure, and kinetic formulation for a complex Burgers equation ⋮ On the identifiability of interaction functions in systems of interacting particles ⋮ On the mean field limit of the random batch method for interacting particle systems

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