Instabilities And Nonequilibrium Structures Ii
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Instabilities And Nonequilibrium Structures Ii
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Author : E. Tirapegui
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Instabilities And Nonequilibrium Structures Ii written by E. Tirapegui and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
We present here a selection of the seminars given at the Second International Workshop on Instabilities and Nonequilibrium Structures in Valparaiso, Chile, in December 1987. The Workshop was organized by Facultad de Ciencias Fisicas y Matematicas of Universidad de Chile and by Universidad Tecnica Federico Santa Maria where it took place. This periodic meeting takes place every two years in Chile and aims to contribute to the efforts of Latin America towards the development of scientific research. This development is certainly a necessary condition for progress in our countries and we thank our lecturers for their warm collaboration to fulfill this need. We are also very much indebted to the Chilean Academy of Sciences for sponsoring officially this Workshop. We thank also our sponsors and supporters for their valuable help, and most especially the Scientific Cooperation Program of France, UNESCO, Ministerio de Educaci6n of Chile and Fundaci6n Andes. We are grateful to Professor Michiel Hazewinkel for including this book in his series and to Dr. David Larner of Kluwer for his continuous interest and support to this project.
Instabilities And Nonequilibrium Structures
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Author : E. Tirapegui
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Instabilities And Nonequilibrium Structures written by E. Tirapegui and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perbaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuIik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Instabilities And Nonequilibrium Structures Iv
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Author : E. Tirapegui
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Instabilities And Nonequilibrium Structures Iv written by E. Tirapegui and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
We have classified the articles presented here in two Sections according to their general content. In Part I we have included papers which deal with statistical mechanics, math ematical aspects of dynamical systems and sthochastic effects in nonequilibrium systems. Part II is devoted mainly to instabilities and self-organization in extended nonequilibrium systems. The study of partial differential equations by numerical and analytic methods plays a great role here and many works are related to this subject. Most recent developments in this fascinating and rapidly growing area are discussed. PART I STATISTICAL MECHANICS AND RELATED TOPICS NONEQUILIBRIUM POTENTIALS FOR PERIOD DOUBLING R. Graham and A. Hamm Fachbereich Physik, Universitiit Gesamthochschule Essen D4300 Essen 1 Germany ABSTRACT. In this lecture we consider the influence of weak stochastic perturbations on period doubling using nonequilibrium potentials, a concept which is explained in section 1 and formulated for the case of maps in section 2. In section 3 nonequilibrium potentials are considered for the family of quadratic maps (a) at the Feigenbaum 'attractor' with Gaussian noise, (b) for more general non Gaussian noise, and (c) for the case of a strange repeller. Our discussion will be informal. A more detailed account of this and related material can be found in our papers [1-3] and in the reviews [4, 5], where further references to related work are also given. 1.
Instabilities And Nonequilibrium Structures V
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Author : E. Tirapegui
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Instabilities And Nonequilibrium Structures V written by E. Tirapegui and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This volume contains a selection of the lectures given at the Fifth International Workshop on Instabilities and Nonequilibrium Structures, held in Santiago, Chile, in December 1993. The following general subjects are covered: instabilities and pattern formation, stochastic effects in nonlinear systems, nonequilibrium statistical mechanics and granular matter. Review articles on transitions between spatio-temporal patterns and nonlinear wave equations are also included. Audience: This book should appeal to physicists and mathematicians working in the areas of nonequilibrium systems, dynamical systems, pattern formation and partial differential equations. Chemists and biologists interested in self-organization and statistical mechanics should also be interested, as well as engineers working in fluid mechanics and materials science.
Instabilities And Nonequilibrium Structures Iii
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Author : E. Tirapegui
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Instabilities And Nonequilibrium Structures Iii written by E. Tirapegui and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Proceedings of the 3rd Workshop on Instabilities and Nonequilibrium Structures
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1948
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Mechanics, Applied categories.
Non Equilibrium Thermodynamics With Application To Solids
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Author : W. Muschik
language : en
Publisher: Springer
Release Date : 2014-05-04
Non Equilibrium Thermodynamics With Application To Solids written by W. Muschik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.
This book puts emphasis on developing the basic ideas behind the different approaches to non-equilibrium thermodynamics and on applying them to solids. After a survey about different approaches an introduction to their common fundamentals is given in the first part. In the second part the mechanical behavior of special materials such as viscoelasticity, viscoplasticity, viscoelastoplasticity, and thermoplasticity are discussed. The third part is devoted to extended thermodynamics. The basic ideas, phenomenological as well as microscopical, are reviewed and applied to thermo- and viscoelastic materials. Electromagnetic solids showing dielectric relaxation, such as ceramics, showing electromagneto-mechanical hysteresis and superconductivity are treated in the fourth part. In the last part stability with regard to constitutive equations is investigated. Especially stability of quasi-static processes and of elastic-plastic systems are discussed.
Theory Of Plastic Instability
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Author : Henryk Petryk
language : en
Publisher: Springer Nature
Release Date : 2025-08-09
Theory Of Plastic Instability written by Henryk Petryk and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-09 with Technology & Engineering categories.
This commemorative volume celebrates 50 years of Henryk Petryk's scientific career and his distinguished contributions to the theory of plastic instability, a critical area in materials science and mechanical engineering. His thirteen selected individual works are preceded by a new unifying introduction, which creates a coherent monograph. Its core consists of the first three extensive chapters—originally published in the prestigious Springer series CISM Courses and Lectures—and the most recent final chapter. Curated to showcase the evolution and enduring relevance of his pioneering research, this collection offers both a historical perspective and authoritative insights into one of the field’s most challenging topics.
Multiscale Mechanics Of Shock Wave Processes
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Author : Yurii Meshcheryakov
language : en
Publisher: Springer Nature
Release Date : 2021-09-30
Multiscale Mechanics Of Shock Wave Processes written by Yurii Meshcheryakov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-30 with Science categories.
This book presents theoretical and experimental investigations of mechanical behavior of solids under shock loading and highlights a multi-scale exchange process of energy and momentum between meso and macroscopic hierarchy. It also widely covers experimental approaches for the multi-scale response of solids to impacts including uniaxial strain conditions and high-velocity penetration processes. The content comprises two parts. The first part overviews modeling and theory of dynamically deformed solids from the multi-scale point of view. The second part describes experimental characterization of shock-induced solids and experimental probing of mesostructured and mesoscale dynamic processes in solids. The theory presented in the first part is then verified as it is compared with i) experiments of shock loading into different kinds of solids and ii) probed microstructure of post-shocked specimens by scanning electron microscopy, transmission electron microscopy and optical microscopy. The text is written on the basis of author’s lectures at universities and thus is concisely described for postgraduate students. It is also useful for researchers who work on the theory of multi-scale mechanics of solids and engineers who work on testing materials under dynamic loading.
Hydrodynamic Instability And Transition To Turbulence
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Author : Akiva M. Yaglom
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-18
Hydrodynamic Instability And Transition To Turbulence written by Akiva M. Yaglom and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-18 with Technology & Engineering categories.
This book is a complete revision of the part of Monin & Yaglom's famous two-volume work "Statistical Fluid Mechanics: Mechanics of Turbulence" that deals with the theory of laminar-flow instability and transition to turbulence. It includes the considerable advances in the subject that have been made in the last 15 years or so. It is intended as a textbook for advanced graduate courses and as a reference for research students and professional research workers. The first two Chapters are an introduction to the mathematics, and the experimental results, for the instability of laminar (or inviscid) flows to infinitesimal (in practice "small") disturbances. The third Chapter develops this linear theory in more detail and describes its application to particular problems. Chapters 4 and 5 deal with instability to finite-amplitude disturbances: much of the material has previously been available only in research papers.