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Author : Jian-Jun Xu
Publisher :
ISBN 13 : 9783319526645
Total Pages : 591 pages
Book Rating : 4.5/5 (266 download)
Download or read book Interfacial Wave Theory of Pattern Formation in Solidification written by Jian-Jun Xu and published by . This book was released on 2017 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jian-Jun Xu
Publisher :
ISBN 13 : 9783642804366
Total Pages : 312 pages
Book Rating : 4.8/5 (43 download)
Download or read book Interfacial Wave Theory of Pattern Formation written by Jian-Jun Xu and published by . This book was released on 1997-12-16 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jian-Jun Xu
Publisher : Springer Science & Business Media
ISBN 13 : 3642804357
Total Pages : 303 pages
Book Rating : 4.6/5 (428 download)
Download or read book Interfacial Wave Theory of Pattern Formation written by Jian-Jun Xu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the last several years, the study of interfacial instability and pattern formation phenomena has preoccupied many researchers in the broad area of nonlinear science. These phenomena occur in a variety of dynamical sys tems far from equilibrium. In many practically very important physical sys tems some fascinating patterns are always displayed at the interface between solid and liquid or between two liquids. Two prototypes of these phenomena are dendrite growth in solidification and viscous fingering in a Hele-Shaw cell. These two phenomena occur in completely different scientific fields, but both are described by similar nonlinear free boundary problems of partial differential-equation systems; the boundary conditions on the interface for both cases contain a curvature operator involving the surface tension, which is nonlinear. Moreover, both cases raise the same challenging theoretical is sues, interfacial instability mechanisms and pattern selection, and it is now found that these issues can be solved by the same analytical approach. Thus, these two phenomena are regarded as special examples of a class of nonlinear pattern formation phenomena in nature, and they are the prominent topics of the new interdisciplinary field of nonlinear science. This research monograph is based on a series of lectures I have given at McGill University, Canada (1993-1994), Northwestern Poly technical In stitute, China (1994), Aachen University, Germany (1994), and the CRM summer school at Banff, Alberta, Canada (1995).
Author : McGill University. Department of Mathematics and Statistics
Publisher :
ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (228 download)
Download or read book Interfacial Wave Theory of Solidification : Dendritic Pattern Formation and Selection of Growth Velocity written by McGill University. Department of Mathematics and Statistics and published by . This book was released on 1989 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jian-Jun Xu
Publisher : Springer
ISBN 13 : 3319526634
Total Pages : 605 pages
Book Rating : 4.3/5 (195 download)
Download or read book Interfacial Wave Theory of Pattern Formation in Solidification written by Jian-Jun Xu and published by Springer. This book was released on 2017-05-23 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : McGill University. Department of Mathematics and Statistics
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (359 download)
Download or read book Interfacial Wave Theory of Pattern Formations written by McGill University. Department of Mathematics and Statistics and published by . This book was released on 1994 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jian-Jun Xu
Publisher : Springer Science & Business Media
ISBN 13 : 1475737092
Total Pages : 243 pages
Book Rating : 4.4/5 (757 download)
Download or read book Dynamical Theory of Dendritic Growth in Convective Flow written by Jian-Jun Xu and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convective flow in the liquid phase is always present in a realistic process of freezing and melting and may significantly affect the dynamics and results of the process. The study of the interplay of growth and convection flow during the solidification has been an important subject in the broad fields of materials science, condensed matter physics, fluid physics, micro-gravity science, etc. The present book is concerned with the dynamics of free dendritic growth with convective flow in the melt. It systematically presents the results obtained in terms of a unified asymptotic approach in the framework of the interfacial wave (IFW) theory. In particular, the book explores the effect of the various types of convection flow on the selection and pattern formation of dendritic growth based on the global stability analysis.
Author : Harry Scott Brown
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.:/5 (261 download)
Download or read book A Computer Assisted, Nonlinear Dynamic Study of Instabilities and Pattern Formation for Interfacial Waves written by Harry Scott Brown and published by . This book was released on 1992 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Yang Gao
Publisher : Springer Science & Business Media
ISBN 13 : 1475744358
Total Pages : 316 pages
Book Rating : 4.4/5 (757 download)
Download or read book Advances in Mechanics and Mathematics written by David Yang Gao and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semi-linear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes.
Author : McGill University. Department of Mathematics and Statistics
Publisher : Montréal : Department of Mathematics and Statistics, McGill University
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (358 download)
Download or read book Interfacial Wave Theory for Oscillatory Finger's Formation in a Hele-Shaw Cell : a Comparison with Experiments written by McGill University. Department of Mathematics and Statistics and published by Montréal : Department of Mathematics and Statistics, McGill University. This book was released on 1994 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Lakshmikantham
Publisher : Walter de Gruyter
ISBN 13 : 9783110132151
Total Pages : 930 pages
Book Rating : 4.1/5 (321 download)
Download or read book World Congress of Nonlinear Analysts '92 written by V. Lakshmikantham and published by Walter de Gruyter. This book was released on 1996 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre Colinet
Publisher : Springer Science & Business Media
ISBN 13 : 3709101255
Total Pages : 304 pages
Book Rating : 4.7/5 (91 download)
Download or read book Pattern Formation at Interfaces written by Pierre Colinet and published by Springer Science & Business Media. This book was released on 2010-03-26 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : György Darvas
Publisher : Springer Nature
ISBN 13 : 3030880591
Total Pages : 262 pages
Book Rating : 4.0/5 (38 download)
Download or read book Complex Symmetries written by György Darvas and published by Springer Nature. This book was released on 2022-01-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of essays on complex symmetries. It is curated, emphasizing the analysis of the symmetries, not the various phenomena that display those symmetries themselves. With this, the volume provides insight to nonspecialist readers into how individual simple symmetries constitute complex symmetry. The authors and the topics cover many different disciplines in various sciences and arts. Simple symmetries, such as reflection, rotation, translation, similitude, and a few other simple manifestations of the phenomenon, are all around, and we are aware of them in our everyday lives. However, there are myriads of complex symmetries (composed of a bulk of simple symmetries) as well. For example, the well-known helix represents the combination of translational and rotational symmetry. Nature produces a great variety of such complex symmetries. So do the arts. The contributions in this volume analyse selected examples (not limited to geometric symmetries). These include physical symmetries, functional (meaning not morphological) symmetries, such as symmetries in the construction of the genetic code, symmetries in human perception (e.g., in geometry education as well as in constructing physical theories), symmetries in fractal structures and structural morphology, including quasicrystal and fullerene structures in stable bindings and their applications in crystallography and architectural design, as well as color symmetries in the arts. The volume is rounded of with beautiful illustrations and presents a fascinating panorama of this interdisciplinary topic.
Author : Stephen H. Davis
Publisher : Cambridge University Press
ISBN 13 : 9781139429634
Total Pages : 406 pages
Book Rating : 4.4/5 (296 download)
Download or read book Theory of Solidification written by Stephen H. Davis and published by Cambridge University Press. This book was released on 2001-10-08 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: The processes of freezing and melting were present at the beginnings of the Earth and continue to dominate the natural and industrial worlds. The solidification of a liquid or the melting of a solid involves a complex interplay of many physical effects. This 2001 book presents in a systematic way the field of continuum solidification theory based on instability phenomena. An understanding of the physics is developed by using examples of increasing complexity with the object of creating a deep physical insight applicable to more complex problems. Applied mathematicians, engineers, physicists, and materials scientists will all find this volume of interest.
Author : J M Chadam
Publisher : CRC Press
ISBN 13 : 9780582087675
Total Pages : 264 pages
Book Rating : 4.0/5 (876 download)
Download or read book Free Boundary Problems Involving Solids written by J M Chadam and published by CRC Press. This book was released on 1993-02-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes containing the proceedings of the International Colloquium 'Free Boundary Problems: Theory and Applications', held in Montreal from June 13 to June 22, 1990. The main theme of this volume is the concept of free boundary problems associated with solids. The first free boundary problem, the freezing of water - the Stefan problem - is the prototype of solidification problems which form the main part of this volume. The two sections treting this subject cover a large variety of topics and procedures, ranging from a theoretical mathematical treatment of solvability to numerical procedures for practical problems. Some new and interesting problems in solid mechanics are discussed in the first section while in the last section the important new subject of solid-solid-phase transition is examined.
Author : Andrei Ludu
Publisher : Springer Science & Business Media
ISBN 13 : 3540728732
Total Pages : 467 pages
Book Rating : 4.5/5 (47 download)
Download or read book Nonlinear Waves and Solitons on Contours and Closed Surfaces written by Andrei Ludu and published by Springer Science & Business Media. This book was released on 2007-09-09 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours. The first part of the book introduces the mathematical concept required for treating the manifolds considered. An introduction to the theory of motion of curves and surfaces is given. The second and third parts discuss the modeling of various physical solitons on compact systems.
Author : L.M. Pismen
Publisher : Springer Science & Business Media
ISBN 13 : 3540304312
Total Pages : 383 pages
Book Rating : 4.5/5 (43 download)
Download or read book Patterns and Interfaces in Dissipative Dynamics written by L.M. Pismen and published by Springer Science & Business Media. This book was released on 2006-07-07 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.
