Publication: Asymptotic properties of reaction-diffusion systems modeling chemotaxis
Loading...
Full text at PDC
Publication Date
2000
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Citations
Exportar
Abstract
This paper examines a system first introduced by Keller and Segel in 1970 to model the tendency of slime molds to move towards higher concentrations of a chemical which they themselves secrete. The paper particularly addresses the question of blow-up or chemotactic collapse, i.e., the formation of single point aggregations of the cells. Results are discussed for 2 and 3 space dimensions. Asymptotic computations yield information on the manner of the blow-up.
Description
Selected papers from the International Venice–2/Symposium held in Venice, June 11–16, 1998