CASE WESTERN RESERVE UNIVERSITY

JOINT APPLIED MATH>

AND

STATISTICS SEMINAR

Title: Parabolic Systems Modeling Chemotaxis

Speaker:
PIOTR BILER
University of Wroclaw, Poland

CWRU Center for Stochastic and Chaotic

in Science and Technology

Time: Friday, October 11,1996 11:30AM
Processes

Location:
Room 327, Yost Hall

Abstract

Chemotaxis is a biological phenomenon of the directed movement of cells in response to the gradient of a chemical secreted by themselves. The basic mathematical model involves a parabolic system of nonlinear equations for the concentrations of the species and of the chemical. We'll discuss solvability of this system of regularity and asymptotic behavior of solutions, and special (self-similar) solutions . In particular, finite time blow-up occurs for large solutions which can be interpreted as the chemotactic collapse.