On convergence to equilibria for the Keller-Segel chemotaxis model

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SYSNO ASEP	0085084
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	On convergence to equilibria for the Keller-Segel chemotaxis model
Title	O konvergenci řešení Kellerova-Segelova modelu chemotaxe ke stacionárním stavům
Author(s)	Feireisl, Eduard (MU-W)_{RID, SAI, ORCID} Laurencot, P. (FR) Petzeltová, Hana (MU-W)_{RID, SAI}
Source Title	Journal of Differential Equations. - : Elsevier - ISSN 0022-0396 Roč. 236, č. 2 (2007), s. 551-569
Number of pages	19 s.
Language	eng - English
Country	US - United States
Keywords	Keller-Segel chemotaxis model ; convergence to equilibria ; Łojasiewicz-Simon theory
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190606 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
Annotation	We show that any global-in-time bounded solution to the Keller-Segel chemotaxis model converges to a single equilibrium as time tends to infinity. The proof is based on a generalized version of the Łojasiewicz-Simon theorem.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2008

Number of the records: 1