One-Dimensional Short-Range Nearest-Neighbor Interaction and Its Nonlinear Diffusion Limit

DOI10.1137/23M155520XarXiv2302.12099MaRDI QIDQ6190970

Christian Schmeiser, Michael J. Fischer, Laura Kanzler

Publication date: 8 February 2024

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.12099

zbMATH Keywords

porous medium equationrepulsive forceagent-based modelscell exclusionnonlinear diffusion limit

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22) Developmental biology, pattern formation (92C15) Moving boundary problems for PDEs (35R37)

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