S. I. Dejak, D. Egli, P. M. Lushnikov, I. M. Sigal
We investigate the (reduced) Keller-Segel equations modeling chemotaxis of bio-organisms. We present a formal derivation and partial rigorous results of the blowup dynamics of solution of these equations describing the chemotactic aggregation of the organisms. Our results are confirmed by numerical simulations and the formula we derive coincides with the formula of Herrero and Vel\'{a}zquez for specially constructed solutions.
View original:
http://arxiv.org/abs/1304.1583
No comments:
Post a Comment