Thomas Hillen, University of Utah
Classical models for chemotaxis base on the Keller-Segel model. Hence the underlying motion process is Brownian motion and the paradox of infinite propagation speed appears. Here I present hyperbolic models for chemotaxis. Finite propagation speed is directly included into the model equations. For the model in 1-D the connection to the Keller-Segel model will be shown and first existence results will be presented. Numerical simulations show interesting behavior such as finite time blow-up or global existing patterns.
Joint work with A. Stevens