The singular kernel coagulation equation with multifragmentation

In this article, we prove the existence of solutions to singular coagulation equations with multifragmentation. We use weighted L1 spaces to deal with the singularities and to obtain regular solutions. The Smoluchowski kernel is covered by our proof. The weak L1 compactness methods are applied to su...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2015-09, Vol.38 (14), p.2953-2973
Main Authors: Camejo, Carlos Cueto, Warnecke, Gerald
Format: Article
Language:English
Subjects:
Approximation
Coagulation
coagulation-fragmentation equations
Covering
integro-differential equations
Kernels
Mathematical analysis
Proving
singular kernel
Singularities
Uniqueness
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Summary:In this article, we prove the existence of solutions to singular coagulation equations with multifragmentation. We use weighted L1 spaces to deal with the singularities and to obtain regular solutions. The Smoluchowski kernel is covered by our proof. The weak L1 compactness methods are applied to suitably chosen approximating equations as a base of our proof. A more restrictive uniqueness result is also given. Copyright © 2014 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3272