Dynamics of Curved Fronts

Dynamics of Curved Fronts PDF Author:
Publisher: Elsevier
ISBN: 0080925235
Category : Technology & Engineering
Languages : en
Pages : 546

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Book Description
In recent years, much progress has been made in the understanding of interface dynamics of various systems: hydrodynamics, crystal growth, chemical reactions, and combustion. Dynamics of Curved Fronts is an important contribution to this field and will be an indispensable reference work for researchers and graduate students in physics, applied mathematics, and chemical engineering. The book consist of a 100 page introduction by the editor and 33 seminal articles from various disciplines.

Pattern Formation at Interfaces

Pattern Formation at Interfaces PDF Author: Pierre Colinet
Publisher: Springer Science & Business Media
ISBN: 3709101255
Category : Technology & Engineering
Languages : en
Pages : 304

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Book Description
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.

New Visions on Form and Growth

New Visions on Form and Growth PDF Author: Pierre Pelcé
Publisher: Oxford University Press, USA
ISBN: 9780198527015
Category : Mathematics
Languages : en
Pages : 402

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Book Description
There exists a wide variety of patterns in nature, from inert matter such as crystalline dendrites and flames, to filamentous fungi and neurones in the living world. Their structural evolution during growth can be theoretically modeled in order to predict the shape of their forms, their dimensions and their growth rate. 'New Visions on Growth and Form' aims at answering such questions by employing different theoretical approaches and providing a critical appraisal. The book belongs to the wide field of non-equilibrium statistical physics, and explores different mechanisms such as transport, interfacial tension, and chemical reactions, which govern the growth of a material. It explains the fundamental equations relating different morphological quantities, as well as the relevant experimental control parameters. From the unifying concepts arising in the theoretical approach the author proposes a tentative description of cell morphogenesis as a further application of the theory.

Multi-dimensional Hyperbolic Partial Differential Equations

Multi-dimensional Hyperbolic Partial Differential Equations PDF Author: Sylvie Benzoni-Gavage
Publisher: Oxford University Press, USA
ISBN: 019921123X
Category : Mathematics
Languages : en
Pages : 535

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Book Description
Authored by leading scholars, this comprehensive text presents a view of the multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. It is useful to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics.

Physicochemical Hydrodynamics

Physicochemical Hydrodynamics PDF Author: Manual G. Verlarde
Publisher: Springer Science & Business Media
ISBN: 1461307074
Category : Science
Languages : en
Pages : 1093

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Book Description
This book contains lecture notes and invited contributions presented at the NATO Advanced Study Institute and EPS Liquid State Conference on PHYSICOCHEMICAL HYDRODYNAMICS-PCH: INTERFACIAL PHENOMENA that were held July 1-15, 1986, in LA RABIDA (Huelva) SPAIN. Although we are aware of the difficulty in organizing the contents due to the broad and multidisciplinary aspects of PCH-Interfacial Phenomena, we have tried to accomodate papers by topics and have not followed the order in the presentation at the meetings. There is also no distinction between the ASI notes and Conference papers. We have done our best to offer a coverage as complete as possible of the field. However, we had difficulties coming from the fact that some authors were so busy that either did not find time to submit their contribution or did not have time to write a comprehensive paper. We also had to cope with very late arrivals, postdeadline valuable contributions that we felt had to be included here. Our gratitude goes to the NATO Scientific Affairs Division for its economic support and to the EPS Liquid State Committee for its sponsorship. Financial support also came from Asociacion Industrias Quimicas-Huelva (Spain), Caycit-Ministerio De Educacion Y Ciencia (Spain), Canon-Espana (Spain), Citibank-Espana (Spain), CNLS-Los Alamos Nat. Lab. (U. S. A. ), CSIC (Spain), EPS, ERT (Spain), ESA, Fotonica (Spain), IBM-Espana (Spain), Junta De Andalucia (Spain), NATO, NSF (U. S. A. ), ONR-London (U. S. A.

Handbook Of Manufacturing

Handbook Of Manufacturing PDF Author: Yong Huang
Publisher: World Scientific
ISBN: 9813271035
Category : Technology & Engineering
Languages : en
Pages : 738

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Book Description
Handbook of Manufacturing provides a comprehensive overview of fundamental knowledge on manufacturing, covering various processes, manufacturing-related metrology and quality assessment and control, and manufacturing systems. Many modern processes such as additive manufacturing, micro- and nano-manufacturing, and biomedical manufacturing are also covered in this handbook. The handbook will help prepare readers for future exploration of manufacturing research as well as practical engineering applications.

Nonlinear PDE’s in Condensed Matter and Reactive Flows

Nonlinear PDE’s in Condensed Matter and Reactive Flows PDF Author: Henri Berestycki
Publisher: Springer Science & Business Media
ISBN: 9401003076
Category : Mathematics
Languages : en
Pages : 525

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Book Description
Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media.

Physical And Numerical Models In Knot Theory: Including Applications To The Life Sciences

Physical And Numerical Models In Knot Theory: Including Applications To The Life Sciences PDF Author: Jorge Alberto Calvo
Publisher: World Scientific
ISBN: 9814480851
Category : Mathematics
Languages : en
Pages : 640

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Book Description
The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year.This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume also includes contributions concentrating on models researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics include properties of knot invariants, knot tabulation, studies of hyperbolic structures, knot energies, the exploration of spaces of knots, knotted umbilical cords, studies of knots in DNA and proteins, and the structure of tight knots. Together, the chapters explore four major themes: physical knot theory, knot theory in the life sciences, computational knot theory, and geometric knot theory.

Interfacial Wave Theory of Pattern Formation

Interfacial Wave Theory of Pattern Formation PDF Author: Jian-Jun Xu
Publisher: Springer Science & Business Media
ISBN: 3642804357
Category : Science
Languages : en
Pages : 303

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Book Description
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).

Theories of Matter

Theories of Matter PDF Author: Allan Solomon
Publisher: World Scientific
ISBN: 9789810217594
Category : Science
Languages : en
Pages : 320

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Book Description
This volume contains a selection of articles on modern theoretical physics contributed by leading scientists. It is dedicated to Joseph L Birman for his prolific and outstanding contribution to the field. The topics covered are in the fields of condensed matter and solid state physics, elementary particles and quantum optics.