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Dynamics of droplets in an agitated dispersion with multiple breakage. Part II: uniqueness and global existence
Author(s) -
Fasano Antonio,
Rosso Fabio
Publication year - 2005
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.602
Subject(s) - breakage , uniqueness , mathematics , initial value problem , dispersion (optics) , cauchy problem , calculus (dental) , mathematical analysis , physics , computer science , optics , medicine , dentistry , world wide web
In Part I (see Math. Methods Appl. Sci. ) a new model for the evolution of a system of droplets dispersed in an agitated liquid was presented. Our aim was to extend a previous version (see Proceedings of the Symposium Organized by the Sonderforschungsbereich 438 on the Occasion of Karl‐Heinz Hoffman's 60th Birthday , Lectures in Applied Mathematics, Springer: Berlin, 2000; 123–141) in order to describe the influence of each breakage mode. Here we complete the mathematical analysis to ensure the well posedness (in the sense of Hadamard) of the Cauchy problem for the main evolution equation. Copyright © 2005 John Wiley & Sons, Ltd.