Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds

DOI10.1142/S0219530521500081zbMath1479.35006arXiv2004.06951OpenAlexW3154546718MaRDI QIDQ5016824

Hansol Park, Razvan C. Fetecau, Francesco Saverio Patacchini

Publication date: 13 December 2021

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06951

zbMATH Keywords

particle methodsmeasure-valued solutionsasymptotic consensusintrinsic interactionsswarming on manifolds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Applications of PDEs on manifolds (58J90) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59) PDEs on manifolds (35R01)

Related Items (9)

Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds ⋮ Long-time behaviour of interaction models on Riemannian manifolds with bounded curvature ⋮ A velocity alignment model with a bonding force on complete Riemannian manifolds ⋮ Dynamics of a spatially homogeneous Vicsek model for oriented particles on a plane ⋮ Equilibria and energy minimizers for an interaction model on the hyperbolic space ⋮ Well-posedness of an interaction model on Riemannian manifolds ⋮ Existence of the Cauchy problem for aggregation equation with variable exponents in the hyperbolic space ⋮ The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds ⋮ Emergent Behaviors of Rotation Matrix Flocks

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