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Monte Carlo Methods and Applications

Managing Editor: Sabelfeld, Karl K.

Editorial Board: Binder, Kurt / Bouleau, Nicolas / Chorin, Alexandre J. / Dimov, Ivan / Dubus, Alain / Egorov, Alexander D. / Ermakov, Sergei M. / Halton, John H. / Heinrich, Stefan / Kalos, Malvin H. / Lepingle, D. / Makarov, Roman / Mascagni, Michael / Mathe, Peter / Niederreiter, Harald / Platen, Eckhard / Sawford, Brian R. / Schmid, Wolfgang Ch. / Schoenmakers, John / Simonov, Nikolai A. / Sobol, Ilya M. / Spanier, Jerry / Talay, Denis

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1569-3961
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Volume 16, Issue 3-4

Issues

Random and deterministic fragmentation models

Wolfgang Wagner
  • Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstraße 39, D–10117 Berlin, Germany. E-mail:
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Published Online: 2010-10-20 | DOI: https://doi.org/10.1515/mcma.2010.016

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.

Keywords.: Fragmentation models; kinetic equations; Markov jump processes; explosion property

About the article

Received: 2009-11-13

Revised: 2010-09-08

Published Online: 2010-10-20

Published in Print: 2010-12-01


Citation Information: Monte Carlo Methods and Applications, Volume 16, Issue 3-4, Pages 399–420, ISSN (Online) 1569-3961, ISSN (Print) 0929-9629, DOI: https://doi.org/10.1515/mcma.2010.016.

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