Fluid models of swarming behavior
Seminar Room 1, Newton Institute
Swarming biological systems (such as fish schools, insect swarms, mammalian herds) exhibit large scale spatio-temporal coordinated structures such as congestions, waves, oscillations, etc. The selforganization behavior is not directed encoded in the local interactions between individuals and emerges when the number of agents is large. In this situation, it is legitimate to use fluid models. However, the relation between the microscopic agent level and the macroscopic fluid level is not as straightforward as in the classical gas dynamics case. In this talk, we will review a certain number of the mathematical problems posed by these systems and some of the answers that can be given.