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The Mathematical Foundations of Mixing : The Linked Twist Map as a Paradigm in Applications: Micro to Macro, Fluids to Solids.
・ISBN 978-0-521-86813-6 hard GB£ 93.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-61811-6
| 著者・編者 | Sturman, Rob / Ottino, Julio M. / Wiggins, Stephen, |
|---|---|
| シリーズ | Cambridge Monographs on Applied and Computational Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2006 |
| ページ数 | 302 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-10244> |
解説
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.