Pattern Formation At Interfaces
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Pattern Formation at Interfaces
Author: Pierre Colinet
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-03-26
The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, with applications to materials science, chemical engineering, heat transfer technologies, as well as in combustion and other reaction-diffusion systems. Interfaces play a dominant role at small scales, and their correct modeling is therefore also crucial in the rapidly expanding fields of microfluidics and nanotechnologies. To this aim, the book combines contributions of eminent specialists in the field, with a special emphasis on rigorous and predictive approaches. Other goals of this volume are to allow the reader to identify key problems of high scientific value, and to see the similarity between a variety of seemingly different physical problems.
Pattern Formation
Author: Rebecca Hoyle
language: en
Publisher: Cambridge University Press
Release Date: 2006
From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena have been a focus of recent research activity across several disciplines. This book provides an introduction to the range of mathematical theory and methods used to analyze and explain these often intricate and beautiful patterns. Bringing together several different approaches, from group theoretic methods to envelope equations and theory of patterns in large-aspect ratio-systems, the book also provides insight behind the selection of one pattern over another.
Boundaries, Interfaces, and Transitions
Author: Michel C. Delfour
language: en
Publisher: American Mathematical Soc.
Release Date: 1998
Nine papers bring together geometric tools developed in distant areas of mathematics, mechanics, and physics, for application in the design, identification, and control of technological processes. The articles discuss topics such as: the transition to turbulence via turbulent bursts; intrinsic differential geometric methods in the asymptotic analysis of linear thin shells; local theory of shape analysis via distance functions; shape memory; dendrites, fingers, interfaces, and free boundaries; superconductivity; front propagation; hysteresis; and dynamic metastability and singular perturbations. Annotation copyrighted by Book News, Inc., Portland, OR