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

Repulsion between individuals within a finite radius is encountered in numerous applications, including cell exclusion, i.e. an overlap of cells to be avoided, bird flocks, or microscopic pedestrian models. We define such individual based particle dynamics in one spatial dimension with minimal assum...

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Veröffentlicht in:	SIAM journal on applied mathematics 2024-01, Vol.84 (1), p.1-18
Hauptverfasser:	Fischer, Michael, Kanzler, Laura, Schmeiser, Christian
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics
Online-Zugang:	Volltext
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