1 citations · 2 across the 4 of their papers we have counts for
4 papers
Existence of ground states for free energies on the hyperbolic space
José A. Carrillo, Razvan C. Fetecau, Hansol Park
We investigate a free energy functional that arises in aggregation-diffusion phenomena modelled by nonlocal interactions and local repulsion on the hyperbolic space $\bbh^\dm$. The…
Equilibria for an aggregation model with two species
Joep H. M. Evers, Razvan C. Fetecau, Theodore Kolokolnikov
We consider an aggregation model for two interacting species. The coupling between the species is via their velocities, that incorporate self- and cross-interactions. Our main inte…
Small inertia regularization of an anisotropic aggregation model
Joep H. M. Evers, Razvan C. Fetecau, Weiran Sun
We consider an anisotropic first-order ODE aggregation model and its approximation by a second-order relaxation system. The relaxation model contains a small parameter $\varepsilon…
Anisotropic interactions in a first-order aggregation model: a proof of concept
Joep H. M. Evers, Razvan C. Fetecau, Lenya Ryzhik
We extend a well-studied ODE model for collective behaviour by considering anisotropic interactions among individuals. Anisotropy is modelled by limited sensorial perception of ind…