| Abstract: |
| Emergent aggregation and flocking phenomena appearing in many biological systems are simple instances of collective behavior. Recently, they have been an active research in applied mathematics, biology, engineering, and physics. In this talk, we discuss the mean-field limit for a large class of swarming individual based models with local sharp sensitivity regions. We provide a quantitative error estimate between the solutions to the differential inclusion system corresponding to the particle descriptions and weak solutions to the expected limiting kinetic equation by employing tools from optimal transport theory. |
|