Mathematical Results for Some Models of Chemotaxis

Thursday, October 15, 1998 - 3:30pm - 4:30pm
Keller 3-180
Miguel Herrero (Universidad Complutense de Madrid)
In this talk, I shall review recent joint work with J.J.L.Velazquez and E. Medina on the asymptotic behaviour of solutions to some reaction-diffusion systems modeling chemotaxis. Particular attention will be paid to mechanisms corresponding to chemotactic collapse, by means of which solutions focus in finite time into a multiple of a Dirac mass.