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Coalescence and breakage processes
Author(s) -
Walker Christoph
Publication year - 2002
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.310
Subject(s) - breakage , coalescence (physics) , uniqueness , fragmentation (computing) , statistical physics , mathematics , mechanics , thermodynamics , physics , mathematical analysis , materials science , computer science , composite material , astrobiology , operating system
We extend a model for coalescence and breakage of liquid–liquid dispersions proposed by Fasano/Rosso. The main feature is that the experimentally observed fact of a maximal droplet mass is taken into account. Our model includes spontaneous breakage as well as collisional fragmentation. Existence and uniqueness of solutions is proved and the long‐time behaviour is investigated. Copyright © 2002 John Wiley & Sons, Ltd.