Equilibria of an aggregation model with linear diffusion in domains with boundaries

DOI10.1142/S0218202520400059zbMath1453.65373arXiv1908.09373OpenAlexW3004658630MaRDI QIDQ5128707

Razvan C. Fetecau, Daniel A. Messenger

Publication date: 23 October 2020

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09373

zbMATH Keywords

Wasserstein metricsteady state solutionsaggregation equationswarming modelvariational characterization of equilibria

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Applications of stochastic analysis (to PDEs, etc.) (60H30) Developmental biology, pattern formation (92C15) Pattern formations in context of PDEs (35B36) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (3)

Learning mean-field equations from particle data using WSINDy ⋮ Zero-diffusion limit for aggregation equations over bounded domains ⋮ Active particles methods and challenges in behavioral systems

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