93 citations · 214 across the 12 of their papers we have counts for
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math.AP2021
Well-posedness of an interaction model on Riemannian manifolds
Razvan C. Fetecau, Francesco S. Patacchini
We investigate a model for collective behaviour with intrinsic interactions on smooth Riemannian manifolds. For regular interaction potentials, we establish the local well-posednes…
math.AP2021
The nonlocal-interaction equation near attracting manifolds
Francesco S. Patacchini, Dejan Slepčev
We study the approximation of the nonlocal-interaction equation restricted to a compact manifold embedded in , and more generally compact sets with posi…