Modelling pattern formation through differential repulsion

DOI10.3934/nhm.2020021zbMath1451.35227arXiv1906.00704OpenAlexW3085534029MaRDI QIDQ828456

Julien Barré, Diane Peurichard, Ewelina Zatorska, Pierre Degond

Publication date: 8 January 2021

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.00704

zbMATH Keywords

kinetic equationsdynamical networksaggregation-diffusion equationsmodelling for cell segregation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Cell movement (chemotaxis, etc.) (92C17) Pattern formations in context of PDEs (35B36)

Related Items (7)

Nonlocal Cross-Interaction Systems on Graphs: Nonquadratic Finslerian Structure and Nonlinear Mobilities ⋮ Segregation and domain formation in non-local multi-species aggregation equations ⋮ Nonlocal cross-interaction systems on graphs: energy landscape and dynamics ⋮ Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion ⋮ Multi-scale description of pedestrian collective dynamics with port-Hamiltonian systems ⋮ Mean field interaction on random graphs with dynamically changing multi-color edges ⋮ Emergence of the Consensus and Separation in an Agent-Based Model With Attractive and Singular Repulsive Forces

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