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Existence and uniqueness of conservative solutions for nonlocal fragmentation models

✍ Scribed by S. C. Oukouomi Noutchie

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 165 KB
Volume: 33
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1302

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✦ Synopsis

The aim of the paper is to investigate the well-posedness of an integrodifferential equation describing multiple fragmentation processes, where the fragmentation rate is size and position dependent and new particles are randomly distributed in the space according to some probability density. An old method of Reuter and Lederman based on some approximation techniques is modified and applied to analyse the dynamics of the problem. The results of earlier papers on local models are extended to nonlocal models and the conservativeness of the solutions is investigated. In particular we prove the uniqueness of conservative solutions.

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