Interfacial Wave Theory of Pattern Formation in Solidification: Dendrites, Fingers, Cells and Free Boundaries (eng)
Language: English
Published by Springer, 2017
- Hardcover
- New
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- Title
- Interfacial Wave Theory of Pattern Formation in Solidification: Dendrites, Fingers, Cells and Free Boundaries (eng)
- Author
- Xu, Jian-Jun
- Publisher
- Springer
- Publication year
- 2017
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3319526626
- ISBN 13
- 9783319526621
- Edition
- 2nd Edition
- Item weight
- 1.29 kilograms
- Series
- Book 39 of 46: Springer Series in Synergetics
This comprehensive work explores interfacial instability and pattern formation in dynamic systems away from the equilibrium state in solidification and crystal growth. Further, this significantly expanded 2nd edition introduces and reviews the progress made during the last two decades. In particular, it describes the most prominent pattern formation phenomena commonly observed in material processing and crystal growth in the framework of the previously established interfacial wave theory, including free dendritic growth from undercooled melt, cellular growth and eutectic growth in directional solidification, as well as viscous fingering in Hele-Shaw flow. It elucidates the key problems, systematically derives their mathematical solutions by pursuing a unified, asymptotic approach, and finally carefully examines these results by comparing them with the available experimental results.
The asymptotic approach described here will be useful for the investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamical systems. In addition, the results on global stability and selection mechanisms of pattern formation will be of particular interest to researchers working on material processing and crystal growth.
The stability mechanisms of a curved front and the pattern formation have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for some time now. This book offers a stimulating and insightful introduction for all physicists, engineers and applied mathematicians working in the fields of soft condensed-matter physics, materials science, mechanical and chemical engineering, fluid dynamics, and nonlinear sciences.
"Synopsis" may belong to another edition of this title.
About the Author
Dr Jian-Jun Xu is a professor in the Department of Mathematics and Statistics at McGill University, Canada. He is an outstanding applied mathematician, working in the interdisciplinary area of applied mathematics, condensed matter physics, material science and fluid dynamics. He has published four monographs and about one hundred research papers. His expertise includes but is not limited to: asymptotics and numerical analysis, dynamical systems of non-Linear PDE with particular emphasis in the areas of solidification physics, interfacial wave theory, pattern formation and crystal growth.
"About the title" may belong to another edition of this title.
Brook Bookstore On Demand
Napoli, NA, Italy
AbeBooks seller since October 11, 2022
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Brook Bookstore On Demand offers a wide selection of books with a continuously updated catalog and fast shipments all over the world. We hold distribution rights with all of the publishers we promote and are in continuous search of new interesting titles to propose to our customers. We are part of Brandon Group SRL (an Italian company) and all of the orders are shipped from Europe. Depending on availability orders will be picked from our different warehouses.
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