Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation
Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation
In this paper, a diffusion-aggregation equation with delta potential is introduced. Based on the global existence and uniform estimates of solutions to the diffusion-aggregation equation, we also provide the rigorous derivation from a stochastic particle system while introducing an intermediate particle system with smooth interaction potential. The theoretical results are …