Rigorous modelling of nonlocal interactions determines a macroscale advection-diffusion PDE

DOI10.1007/978-3-030-62497-2_25zbMath1484.35003arXiv2001.07338OpenAlexW3001989570MaRDI QIDQ2058946

Yanyan Li

Publication date: 10 December 2021

Full work available at URL: https://arxiv.org/abs/2001.07338

zbMATH Keywords

dynamics of microscale spatially nonlocal systemserror of the macroscale approximate PDEZappa dispersion

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Second-order parabolic equations (35K10)

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