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Interfacial Wave Theory of Pattern Formation in Solidification

Dendrites, Fingers, Cells and Free Boundaries

Szerző: Jian-Jun Xu

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer International Publishing AG

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

53 923 Ft

This comprehensive work explores interfacial instability and pattern formation in dynamic systems aw...

Információk a könyvről

Szerző

Jian-Jun Xu

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2018

oldal

591

EAN

9783319849560

Enbook ID

20119346

Kiadó

Springer International Publishing AG

Súly

926

Méretek

155 x 235 x 33

Teljes leírás

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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Interfacial Wave Theory of Pattern Formation in Solidification

Dendrites, Fingers, Cells and Free Boundaries

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