Indexed metadata
On explosions of solutions to a system of partial differential equations modelling chemotaxis
W. Jäger, S. Luckhaus
Source record
Source: Crossref
Published: Jan 1, 1992
DOI: 10.1090/s0002-9947-1992-1046835-6
Open original source ↗Source abstract
A system of partial differential equations modelling chemotactic aggregation is analysed (Keller-Segel model). Conditions on the system of parameters are given implying global existence of smooth solutions. In two space dimensions and radially symmetric situations, explosion of the bacteria concentration in finite time is shown for a class of initial values.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.