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math.AP2022★ 1 cited
Long-time behaviour of interaction models on Riemannian manifolds with bounded curvature
Razvan C. Fetecau, Hansol Park
We investigate the long-time behaviour of solutions to a nonlocal partial differential equation on smooth Riemannian manifolds of bounded sectional curvature. The equation models s…
math.AP2022★ 5 cited
Equilibria and energy minimizers for an interaction model on the hyperbolic space
Razvan C. Fetecau, Hansol Park
We study an intrinsic model for collective behaviour on the hyperbolic space $\bbh^\dm$. We investigate the equilibria of the aggregation equation (or equivalently, the critical po…