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ON A MODEL FOR MASS AGGREGATION WITH MAXIMAL SIZE

Abstract:

We study a kinetic mean-field equation for a system of particles with different sizes, in which particles are allowed to coagulate only if their sizes sum up to a prescribed time-dependent value. We prove well-posedness of this model, study the existence of self-similar solutions, and analyze the largetime behavior mostly by numerical simulations. Depending on the parameter k 0, which controls the probability of coagulation, we observe two different scenarios: For k ...

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Publication status:
Published

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Publisher copy:
10.3934/krm.2011.4.427

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
KINETIC AND RELATED MODELS More from this journal
Volume:
4
Issue:
2
Pages:
427-439
Publication date:
2011-06-01
DOI:
EISSN:
1937-5077
ISSN:
1937-5093
Language:
English
Keywords:
Pubs id:
pubs:162205
UUID:
uuid:0b55f846-4924-4fe5-a412-7d338f21f0a9
Local pid:
pubs:162205
Source identifiers:
162205
Deposit date:
2012-12-19

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