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math.AP2025
Nonlinear diffusion limit of non-local interactions on a sphere
Mark A. Peletier, Anna Shalova
We study an aggregation PDE with competing attractive and repulsive forces on a sphere of arbitrary dimension. In particular, we consider the limit of strongly localized repulsion…
math.AP2025
Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds
Anna Shalova, André Schlichting
We study stationary solutions of McKean-Vlasov equation on a high-dimensional sphere and other compact Riemannian manifolds. We extend the equivalence of the energetic problem form…