On the Mathematics of Swarming: Emergent Behavior in Alignment Dynamics

DOI10.1090/noti2254zbMath1478.35212arXiv2102.09134OpenAlexW3136285805MaRDI QIDQ5006136

Eitan Tadmor

Publication date: 12 August 2021

Published in: Notices of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.09134

zbMATH Keywords

flockingswarmingCucker-Smale (CS) model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Animal behavior (92D50) Biopropulsion in water and in air (76Z10)

Related Items (9)

Global solutions to multi-dimensional topological Euler alignment systems ⋮ Hyperbolic balance laws: modeling, analysis, and numerics. Abstracts from the workshop held February 28 -- March 6, 2021 (hybrid meeting) ⋮ Variability and Heterogeneity in Natural Swarms: Experiments and Modeling ⋮ Swarming: hydrodynamic alignment with pressure ⋮ The large-time behavior of the Vlasov alignment model with power-law or Riesz potentials ⋮ Swarm-based optimization with random descent ⋮ Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system ⋮ Flocking analysis for a generalized Motsch-Tadmor model with piecewise interaction functions and processing delays. ⋮ Global existence of unique solutions to equations for pattern formation in active mixtures

This page was built for publication: On the Mathematics of Swarming: Emergent Behavior in Alignment Dynamics