Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains

DOI10.1093/IMAMAT/HXX021zbMath1486.82036arXiv1612.02079OpenAlexW2963266353MaRDI QIDQ5009173

J. E. Bunder, Anthony Roberts

Publication date: 19 August 2021

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02079

zbMATH Keywords

thin domainmultiple scalescentre manifold theoryslowly varying

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Sums of independent random variables; random walks (60G50) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Invariant manifold theory for dynamical systems (37D10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Methods of ordinary differential equations applied to PDEs (35A24) Fokker-Planck equations (35Q84)

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