Blowup of solutions to generalized Keller–Segel model
✍ Scribed by Piotr Biler; Grzegorz Karch
- Book ID
- 105765546
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 243 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1424-3199
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📜 SIMILAR VOLUMES
We introduce stochastic models of chemotaxis generalizing the deterministic Keller-Segel model. These models include fluctuations which are important in systems with small particle numbers or close to a critical point. Following Dean's approach, we derive the exact kinetic equation satisfied by the
We study initial integrable perturbations of uniform solutions of the Keller-Segel model. We found a stability criterion which depends on the difference between the coefficient of random motion of attractant molecules and the motility coefficient. (~) 2004 Elsevier Ltd. All rights reserved.