Metastable States for an Aggregation Model with Noise

DOI10.1137/16M1069006zbMath1359.35201arXiv1604.00735OpenAlexW2962785408MaRDI QIDQ5506827

Theodore Kolokolnikov, Joep H. M. Evers

Publication date: 16 December 2016

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

Full work available at URL: https://arxiv.org/abs/1604.00735

zbMATH Keywords

diffusionmetastabilityasymptotic analysissteady statesaggregation model

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Diffusion processes (60J60) Developmental biology, pattern formation (92C15) Perturbations in context of PDEs (35B20) Pattern formations in context of PDEs (35B36)

Related Items (10)

Swarming in domains with boundaries: approximation and regularization by nonlinear diffusion ⋮ Zero-diffusion limit for aggregation equations over bounded domains ⋮ Coupled McKean–Vlasov diffusions: wellposedness, propagation of chaos and invariant measures ⋮ Continuum dynamics of the intention field under weakly cohesive social interaction ⋮ Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions ⋮ Equilibria of an aggregation model with linear diffusion in domains with boundaries ⋮ Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits ⋮ Zoology of a Nonlocal Cross-Diffusion Model for Two Species ⋮ Measure solutions to a system of continuity equations driven by Newtonian nonlocal interactions ⋮ Existence of ground states for aggregation-diffusion equations

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