Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility

Jose A. Carrillo, David Gómez-Castro, Juan Luis Vázquez

We consider density solutions for gradient flow equations of the form $u_t=\nabla \cdot (\gamma (u)\nabla \mathrm{N}(u))$, where $\mathrm{N}$ is the Newtonian repulsive potential in th…