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Asymptotic behaviour of liquid–liquid dispersions

Published online by Cambridge University Press:  12 July 2007

Christoph Walker
Christoph Walker
Affiliation:
Institut für Mathematik, Universität Zürich-Irchel, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland ([email protected])
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Abstract

Based on earlier results on existence, we study the asymptotic behaviour of solutions to the coalescence-breakage equations, including the volume-scattering phenomenon and high-energy collisions. The solutions are shown to converge towards one particular equilibrium, provided the kernels satisfy a kind of reversibility. We also derive stability of these equilibria in a suitable topology.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 4 , August 2004 , pp. 753 - 772
Copyright
Copyright © Royal Society of Edinburgh 2004

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