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Interfacial wave theory of pattern formation in solidification = dendrites, fingers, cells and free boundaries /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Interfacial wave theory of pattern formation in solidification/ by Jian-Jun Xu.
Reminder of title:	dendrites, fingers, cells and free boundaries /
Author:	Xu, Jian-Jun.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xx, 591 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Pattern formation (Physical sciences) -
Online resource:	http://dx.doi.org/10.1007/978-3-319-52663-8
ISBN:	9783319526638

Interfacial wave theory of pattern formation in solidification = dendrites, fingers, cells and free boundaries /
Xu, Jian-Jun.

Interfacial wave theory of pattern formation in solidificationdendrites, fingers, cells and free boundaries /[electronic resource] :by Jian-Jun Xu. - 2nd ed. - Cham :Springer International Publishing :2017. - xx, 591 p. :ill., digital ;24 cm. - Springer series in synergetics,0172-7389. - Springer series in synergetics..

Introduction -- Unidirectional Solidification and the Mullins-sekkerka instability -- Mathematical formulation of free dendrite growth from a pure melt -- Basic steady state of axi-symmetric free dendritic growth -- The steady state for dendritic growth with nonzero surface tension -- Global interfacial wave instability of dendrite growth from a pure melt -- Two dimensional dendritic growth -- Three dimensional dendritic growth from undercooled binary mixture -- Viscous fingering in a hele-shaw cell -- Spatially-periodic deep-cellular growth in hele-shaw cell -- Steady lamellar eutectic growth.

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.

ISBN: 9783319526638

Standard No.: 10.1007/978-3-319-52663-8doiSubjects--Topical Terms:

791358
Pattern formation (Physical sciences)

LC Class. No.: Q172.5.C45

Dewey Class. No.: 500.201185

Interfacial wave theory of pattern formation in solidification = dendrites, fingers, cells and free boundaries /
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505 0 $a Introduction -- Unidirectional Solidification and the Mullins-sekkerka instability -- Mathematical formulation of free dendrite growth from a pure melt -- Basic steady state of axi-symmetric free dendritic growth -- The steady state for dendritic growth with nonzero surface tension -- Global interfacial wave instability of dendrite growth from a pure melt -- Two dimensional dendritic growth -- Three dimensional dendritic growth from undercooled binary mixture -- Viscous fingering in a hele-shaw cell -- Spatially-periodic deep-cellular growth in hele-shaw cell -- Steady lamellar eutectic growth.
520 $a 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.
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650 0 $a Crystalline interfaces. $3 700546
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