Herrero, Miguel A. and Rodrigo, Marianito R.
(2005)
*A note on Smoluchowski's equations with diffusion.*
Applied Mathematics Letters, 18
(9).
pp. 969-975.
ISSN 0893-9659

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Official URL: http://www.sciencedirect.com/science/article/pii/S0893965905000170

## Abstract

We consider an infinite system of reaction-diffusion equations that models aggregation of particles. Under suitable assumptions on the diffusion coefficients and aggregation rates, we show that this system can be reduced to a scalar equation, for which an explicit self-similar solution is obtained. In addition, pointwise bounds for the solutions of associated initial and initial-boundary value problems are provided.

Item Type: | Article |
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Uncontrolled Keywords: | Particle aggregation; reaction-diffusion; explicit solutions; supersolution; subsolution; kpp-fisher equation; coagulation equations; kinetics; aggregation; existence; discrete; gelation; model; dynamics; behavior |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 16342 |

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