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Sol-gel transition in a coagulation-diffusion model

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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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
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