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Herrero, Miguel A. and Velázquez, J.J. L. and Wrzosek, D. (2000) Sol-gel transition in a coagulation-diffusion model. Physica D-Nonlinear Phenomena, 141 (3-4). pp. 221-247. ISSN 0167-2789
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Official URL: http://www.sciencedirect.com/science/article/pii/S0167278900000348
Abstract
We consider an infinite system of reaction-diffusion equations which describes the dynamics of cluster growth, and show that there are solutions which exist for all times and exhibit a sol-gel transition in a finite time. The manner in which such transition occurs is discussed, and a gelation profile is derived.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Sol-gel transition; coagulation-diffusion model; cluster growth; semilinear parabolic equations; fragmentation equations; existence; blow; kinetics |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 16675 |
| Deposited On: | 10 Oct 2012 08:12 |
| Last Modified: | 12 Dec 2018 15:07 |
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