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A note on Smoluchowski's equations with diffusion
- Publication Year :
- 2023
-
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.<br />DGES<br />Depto. de Análisis Matemático y Matemática Aplicada<br />Fac. de Ciencias Matemáticas<br />TRUE<br />pub
Details
- Database :
- OAIster
- Notes :
- application/pdf, 0893-9659, English
- Publication Type :
- Electronic Resource
- Accession number :
- edsoai.on1413947628
- Document Type :
- Electronic Resource