Equilibria of biological aggregations with nonlocal repulsive-attractive interactions

R. C. Fetecau, Y. Huang

We consider the aggregation equation ${\rho }_t-\nabla \cdot (\rho \nabla K\ast \rho )=0$ in ${\mathbb{R}}^n$, where the interaction potential $K$ incorporates short-range Newtonian repulsion an…