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On convergence to equilibria for the Keller-Segel chemotaxis model |
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| Authors: | Eduard Feireisl,Philippe Laurenç ot |
| Affiliation: | a Mathematical Institute AS CR, ?itná 25, 115 67 Praha 1, Czech Republic b Mathématiques pour l'Industrie et la Physique, Université Paul Sabatier, Toulouse 3, 118 route de Narbonne, F-31062 Toulouse cedex 9, France |
| Abstract: | 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 Lojasiewicz-Simon theorem. |
| Keywords: | Keller-Segel chemotaxis model Convergence to equilibria Lojasiewicz-Simon theory |
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