Analytical Extensions of the Generalized Moment Method for the Smoluchowski Coagulation Equation
This study extends the analytical framework of the generalized moment method for the Smoluchowski coagulation equation (SCE) to consider a wider range of kernels that can be associated with coagulation models, including those exhibiting complex growth behaviors. A key result of this work is the deri...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad a Distancia de Madrid (UDIMA) |
| Repositorio: | udiMundus. Repositorio Institucional de la Universidad a Distancia de Madrid |
| OAI Identifier: | oai:udimundus.udima.es:20.500.12226/2579 |
| Acceso en línea: | http://hdl.handle.net/20.500.12226/2579 https://doi.org/10.1080/23324309.2024.2419002 |
| Access Level: | acceso abierto |
| Palabra clave: | Generalized moment method Smoluchowski coagulation equation Kernels Long term behavior |
| Sumario: | This study extends the analytical framework of the generalized moment method for the Smoluchowski coagulation equation (SCE) to consider a wider range of kernels that can be associated with coagulation models, including those exhibiting complex growth behaviors. A key result of this work is the derivation of conditions under which the total mass of the system is conserved over time, even when the coagulation kernel is non-homogeneous. We provide two theorems along with their corresponding proofs to formalize the mentioned conditions. |
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