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:
Article
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
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author Giri, Ankik Kumar
Laurençot, Philippe
Warnecke, Gerald
author_facet Giri, Ankik Kumar
Laurençot, Philippe
Warnecke, Gerald
author_sort Giri, Ankik Kumar
collection PubMed
description 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.
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spelling pubmed-32737042012-03-01 Weak solutions to the continuous coagulation equation with multiple fragmentation Giri, Ankik Kumar Laurençot, Philippe Warnecke, Gerald Nonlinear Anal Theory Methods Appl Article 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. Pergamon Press 2012-03 /pmc/articles/PMC3273704/ /pubmed/22389550 http://dx.doi.org/10.1016/j.na.2011.10.021 Text en © 2012 Elsevier Ltd. This document may be redistributed and reused, subject to certain conditions (http://www.elsevier.com/wps/find/authorsview.authors/supplementalterms1.0) .
spellingShingle Article
Giri, Ankik Kumar
Laurençot, Philippe
Warnecke, Gerald
Weak solutions to the continuous coagulation equation with multiple fragmentation
title Weak solutions to the continuous coagulation equation with multiple fragmentation
title_full Weak solutions to the continuous coagulation equation with multiple fragmentation
title_fullStr Weak solutions to the continuous coagulation equation with multiple fragmentation
title_full_unstemmed Weak solutions to the continuous coagulation equation with multiple fragmentation
title_short Weak solutions to the continuous coagulation equation with multiple fragmentation
title_sort weak solutions to the continuous coagulation equation with multiple fragmentation
topic Article
url 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
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AT laurencotphilippe weaksolutionstothecontinuouscoagulationequationwithmultiplefragmentation
AT warneckegerald weaksolutionstothecontinuouscoagulationequationwithmultiplefragmentation

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