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  3. The Mathematical Foundations of Mixing
  • Cited by 80
Publisher:
Cambridge University Press
Online publication date:
February 2010
Print publication year:
2006
Online ISBN:
9780511618116
DOI:
https://doi.org/10.1017/CBO9780511618116
Subjects:
Mathematics, Computational Science, Differential and Integral Equations, Dynamical Systems and Control Theory, Fluid Dynamics and Solid Mechanics
Series:
Cambridge Monographs on Applied and Computational Mathematics (22)
Information

Book description

Mixing processes occur in many technological and natural applications, with length and time scales ranging from the very small to the very large. The diversity of problems can give rise to a diversity of approaches. Are there concepts that are central to all of them? Are there tools that allow for prediction and quantification? The authors show how a variety of flows in very different settings possess the characteristic of streamline crossing. This notion can be placed on firm mathematical footing via Linked Twist Maps (LTMs), which is the central organizing principle of this book. The authors discuss the definition and construction of LTMs, provide examples of specific mixers that can be analyzed in the LTM framework and introduce a number of mathematical techniques which are then brought to bear on the problem of fluid mixing. In a final chapter, they present a number of open problems and new directions.

Reviews

"The material is presented in a style that should make it accessible to a wise audience, and especially to readers involved in practical aspects of mixing who wish to learn more about the mathematical problems underlying the physical phemonology."
Mathematical Reviews

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