WIAS Preprint No. 1464, (2009)

Random and deterministic fragmentation models



Authors

  • Wagner, Wolfgang

2010 Mathematics Subject Classification

  • 60J75

Keywords

  • fragmentation models, kinetic equations, Markov jump processes, explosion property

Abstract

Random and deterministic fragmentation models are considered. Their relationship is studied by deriving different forms of the kinetic fragmentation equation from the corresponding stochastic models. Results related to the problem of non-conservation of mass (phase transition into dust) are discussed. Illustrative examples are given and some open problems are mentioned.

Appeared in

  • Monte Carlo Methods Appl., 16 (2010) pp. 399--420.

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