Partial mass concentration for fast-diffusions with non-local aggregation terms
We study well-posedness and long-time behaviour of aggregation-diffusion equations of the form $\frac{\partial ρ}{\partial t} = Δρ^m + \nabla \cdot( ρ(\nabla V + \nabla W \ast ρ))$ in the fast-diffusion range, $0 0$.
math.AP↗