Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems

DOI10.1007/s00332-021-09747-9zbMath1477.35281arXiv2010.12389OpenAlexW3094230904MaRDI QIDQ2239308

Li Chen, Alexandra Holzinger, Ansgar Jüngel, Esther S. Daus

Publication date: 3 November 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.12389

zbMATH Keywords

population dynamicsmean-field limitstochastic particle systemscross-diffusion systemShigesada-Kawasaki-Teramoto modelmoderately interacting particle systemsrigorous derivation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Finite difference methods for boundary value problems involving PDEs (65N06) Initial value problems for second-order parabolic systems (35K45) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Computational methods for problems pertaining to biology (92-08) Strong solutions to PDEs (35D35)

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