Equilibria for an Aggregation Model with Two Species

DOI10.1137/16M1109527zbMath1387.35587arXiv1612.08074OpenAlexW2562618974MaRDI QIDQ4601210

Theodore Kolokolnikov, Razvan C. Fetecau, Joep H. M. Evers

Publication date: 12 January 2018

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

Full work available at URL: https://arxiv.org/abs/1612.08074

zbMATH Keywords

linear stabilitygradient flowasymptotic analysisenergy minimizersmultispecies modelsswarm equilibria

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Perturbations in context of PDEs (35B20) Pattern formations in context of PDEs (35B36)

Related Items (8)

Coupled McKean–Vlasov diffusions: wellposedness, propagation of chaos and invariant measures ⋮ Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models ⋮ Segregation and domain formation in non-local multi-species aggregation equations ⋮ Nonlocal cross-interaction systems on graphs: energy landscape and dynamics ⋮ A game of alignment: collective behavior of multi-species ⋮ Convergence and non-convergence of many-particle evolutions with multiple signs ⋮ Multiple patterns formation for an aggregation/diffusion predator-prey system ⋮ The continuum limit of interacting dislocations on multiple slip systems

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