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Mathematics > Analysis of PDEs

arXiv:1804.08861 (math)
[Submitted on 24 Apr 2018]

Title:Mass-conserving solutions to coagulation-fragmentation equations with non-integrable fragment distribution function

Authors:Philippe Laurençot (IMT)
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Abstract:Existence of mass-conserving weak solutions to the coagulation-fragmentation equation is established when the fragmentation mechanism produces an infinite number of fragments after splitting. The coagulation kernel is assumed to increase at most linearly for large sizes and no assumption is made on the growth of the overall fragmentation rate for large sizes. However, they are both required to vanish for small sizes at a rate which is prescribed by the (non-integrable) singularity of the fragment distribution.
Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)
Cite as: arXiv:1804.08861 [math.AP]
  (or arXiv:1804.08861v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.08861

Submission history

From: Philippe Laurencot [view email] [via CCSD proxy]
[v1] Tue, 24 Apr 2018 06:53:36 UTC (15 KB)
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