Interfacial Wave Theory of Pattern Formation in by Jian-Jun Xu PDF

By Jian-Jun Xu

ISBN-10: 3319526626

ISBN-13: 9783319526621

This finished paintings explores interfacial instability and trend formation in dynamic structures clear of the equilibrium kingdom in solidification and crystal development. extra, this considerably extended second version introduces and studies the growth made over the last 20 years. particularly, it describes the main trendy trend formation phenomena often saw in fabric processing and crystal progress within the framework of the formerly tested interfacial wave concept, together with loose dendritic progress from undercooled soften, mobile development and eutectic development in directional solidification, in addition to viscous fingering in Hele-Shaw circulation. It elucidates the main difficulties, systematically derives their mathematical ideas by means of pursuing a unified, asymptotic method, and at last rigorously examines those effects by way of evaluating them with the on hand experimental results.

The asymptotic strategy defined the following might be precious for the research of development formation phenomena taking place in a wider classification of inhomogeneous dynamical structures. moreover, the consequences on international balance and choice mechanisms of development formation may be of specific curiosity to researchers engaged on fabric processing and crystal growth.

The balance mechanisms of a curved entrance and the trend formation were basic matters within the components of condensed-matter physics, fabrics technological know-how, crystal progress, and fluid mechanics for it slow now. This ebook bargains a stimulating and insightful creation for all physicists, engineers and utilized mathematicians operating within the fields of soppy condensed-matter physics, fabrics technology, 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 (Springer Series in Synergetics) by Jian-Jun Xu

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