WIAS Preprint No. 435, (1998)

On a class of continuous coagulation-fragmentation equations



Authors

  • Laurençot, Philippe

2010 Mathematics Subject Classification

  • 35F25 45K05 35B40 82C22

Keywords

  • coagulation, fragmentation, existence of solutions, gelation, large time behaviour

Abstract

A model for the dynamics of particles undergoing simultaneously coalescence and breakup is considered, each particle being assumed to be fully identified by its size. Existence of solutions to the corresponding evolution integral partial differential equation is shown for product-type coagulation kernels with a weak fragmentation. The failure of density of conservation (or gelation) is also investigated in some particular cases.

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