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Weak solutions to the continuous coagulation equation with multiple fragmentation

The existence of weak solutions to the continuous coagulation equation with multiple fragmentation is shown for a class of unbounded coagulation and fragmentation kernels, the fragmentation kernel having possibly a singularity at the origin. This result extends previous ones where either boundedness...

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Detalles Bibliográficos
Autores principales: Giri, Ankik Kumar, Laurençot, Philippe, Warnecke, Gerald
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Pergamon Press 2012
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3273704/
https://www.ncbi.nlm.nih.gov/pubmed/22389550
http://dx.doi.org/10.1016/j.na.2011.10.021
Descripción
Sumario:The existence of weak solutions to the continuous coagulation equation with multiple fragmentation is shown for a class of unbounded coagulation and fragmentation kernels, the fragmentation kernel having possibly a singularity at the origin. This result extends previous ones where either boundedness of the coagulation kernel or no singularity at the origin for the fragmentation kernel was assumed.