Dissipative Structures And Weak Turbulence

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Dissipative Structures and Weak Turbulence

Anonim
Dissipative Structures and Weak Turbulence Book PDF

Author : Anonim
Publisher : Academic Press
Page : 505 pages
File Size : 42,8 Mb
Release : 2014-06-28
Category : Science
ISBN : 9780080924458

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Dissipative Structures and Weak Turbulence by Anonim Pdf

Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.

Dissipative Structures and Weak Turbulence

Paul Manneville
Dissipative Structures and Weak Turbulence Book PDF

Author : Paul Manneville
Publisher : Academic Press
Page : 512 pages
File Size : 53,8 Mb
Release : 1990-05-28
Category : Science
ISBN : UCSD:31822020602421

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Dissipative Structures and Weak Turbulence by Paul Manneville Pdf

Dissipative Structure & Weak Turbulence.

Dynamics and Bifurcation of Patterns in Dissipative Systems

Gerhard Dangelmayr,Iuliana Oprea
Dynamics and Bifurcation of Patterns in Dissipative Systems Book PDF

Author : Gerhard Dangelmayr,Iuliana Oprea
Publisher : World Scientific
Page : 406 pages
File Size : 45,8 Mb
Release : 2004
Category : Science
ISBN : 9789812389466

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Dynamics and Bifurcation of Patterns in Dissipative Systems by Gerhard Dangelmayr,Iuliana Oprea Pdf

Contains a collection of expository papers and advanced research articles which provide an overview the state of the art. Topics include new approaches to the mathematical characterization of spatiotemporal complexity as well as analysis of patterns in a variety of applied fields.

Dissipative Structures and Chaos

Hazime Mori,Yoshiki Kuramoto
Dissipative Structures and Chaos Book PDF

Author : Hazime Mori,Yoshiki Kuramoto
Publisher : Springer Science & Business Media
Page : 306 pages
File Size : 40,7 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783642803765

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Dissipative Structures and Chaos by Hazime Mori,Yoshiki Kuramoto Pdf

This book consists of two parts, the first dealing with dissipative structures and the second with the structure and physics of chaos. The first part was written by Y. Kuramoto and the second part by H. Mori. Throughout the book, emphasis is laid on fundamental concepts and methods rather than applications, which are too numerous to be treated here. Typical physical examples, however, including nonlinear forced oscilla tors, chemical reactions with diffusion, and Benard convection in horizontal fluid layers, are discussed explicitly. Our consideration of dissipative structures is based on a phenomenolog ical reduction theory in which universal aspects of the phenomena under consideration are emphasized, while the theory of chaos is developed to treat transport phenomena, such as the mixing and diffusion of chaotic orbits, from the viewpoint of the geometrical phase space structure of chaos. The title of the original, Japanese version of the book is Sanitsu Kozo to Kaosu (Dissipative Structures and Chaos). It is part of the Iwanami Koza Gendai no Butsurigaku (Iwanami Series on Modern Physics). The first Japanese edition was published in March 1994 and the second in August 1997. We are pleased that this book has been translated into English and that it can now have an audience outside of Japan. We would like to express our gratitude to Glenn Paquette for his English translation, which has made this book more understandable than the original in many respects.

Pattern Formation In Complex Dissipative Systems: Fluid Patterns, Liquid Crystals, Chemical Reactions

S Kai
Pattern Formation In Complex Dissipative Systems Fluid Patterns Liquid Crystals Chemical Reactions Book PDF

Author : S Kai
Publisher : World Scientific
Page : 596 pages
File Size : 48,9 Mb
Release : 1992-09-15
Category : Electronic
ISBN : 9789814555333

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Pattern Formation In Complex Dissipative Systems: Fluid Patterns, Liquid Crystals, Chemical Reactions by S Kai Pdf

In this volume, the problems of pattern formation in physics, chemistry and other related fields in complex and nonlinear dissipative systems are studied. Main subjects discussed are formation mechanisms, properties, statistics, characterization and dynamics of periodic and nonperiodic patterns in the electrohydrodynamics in liquid crystals, Rayleigh-Benard convection, crystallization, viscous fingering and Belouzov-Zhabotinsky chemical reaction. Recent developments in topological and defect-mediated chaos, chaos in systems with large degrees of freedom and turbulence-turbulence transitions are also discussed.

Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems

Sergey Zelik,Alexander Mielke
Multi Pulse Evolution and Space Time Chaos in Dissipative Systems Book PDF

Author : Sergey Zelik,Alexander Mielke
Publisher : American Mathematical Soc.
Page : 112 pages
File Size : 46,6 Mb
Release : 2009-03-06
Category : Mathematics
ISBN : 9780821842645

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Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems by Sergey Zelik,Alexander Mielke Pdf

The authors study semilinear parabolic systems on the full space ${\mathbb R}^n$ that admit a family of exponentially decaying pulse-like steady states obtained via translations. The multi-pulse solutions under consideration look like the sum of infinitely many such pulses which are well separated. They prove a global center-manifold reduction theorem for the temporal evolution of such multi-pulse solutions and show that the dynamics of these solutions can be described by an infinite system of ODEs for the positions of the pulses. As an application of the developed theory, The authors verify the existence of Sinai-Bunimovich space-time chaos in 1D space-time periodically forced Swift-Hohenberg equation.

Dynamics of Nonlinear Waves in Dissipative Systems Reduction, Bifurcation and Stability

G Dangelmayr,K Kirchgassner,B Fiedler,Alexander Mielke
Dynamics of Nonlinear Waves in Dissipative Systems Reduction Bifurcation and Stability Book PDF

Author : G Dangelmayr,K Kirchgassner,B Fiedler,Alexander Mielke
Publisher : CRC Press
Page : 292 pages
File Size : 51,7 Mb
Release : 1996-08-01
Category : Mathematics
ISBN : 0582229294

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Dynamics of Nonlinear Waves in Dissipative Systems Reduction, Bifurcation and Stability by G Dangelmayr,K Kirchgassner,B Fiedler,Alexander Mielke Pdf

The mathematical description of complex spatiotemporal behaviour observed in dissipative continuous systems is a major challenge for modern research in applied mathematics. While the behaviour of low-dimensional systems, governed by the dynamics of a finite number of modes is well understood, systems with large or unbounded spatial domains show intrinsic infinite-dimensional behaviour --not a priori accessible to the methods of finite dimensionaldynamical systems. The purpose of the four contributions in this book is to present some recent and active lines of research in evolution equations posed in large or unbounded domains. One of the most prominent features of these systems is the propagation of various types of patterns in the form of waves, such as travelling and standing waves and pulses and fronts. Different approaches to studying these kinds of phenomena are discussed in the book. A major theme is the reduction of an original evolution equation in the form of a partial differential equation system to a simpler system of equations, either a system of ordinary differential equation or a canonical system of PDEs. The study of the reduced equations provides insight into the bifurcations from simple to more complicated solutions and their stabilities. .

Lectures on Non-linear Plasma Kinetics

Vadim N. Tsytovich
Lectures on Non linear Plasma Kinetics Book PDF

Author : Vadim N. Tsytovich
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642789021

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Lectures on Non-linear Plasma Kinetics by Vadim N. Tsytovich Pdf

Lectures on Non-linear Plasma Kinetics is an introduction to modern non-linear plasma physics showing how many of the techniques of modern non-linear physics find applications in plasma physics and how, in turn, the results of this research find applications in astrophysics. Emphasis is given to explaining the physics of nonlinear processes and the radical change of cross-sections by collective effects. The author discusses new nonlinear phenomena involving the excitation of coherent nonlinear structures and the dynamics of their random motions in relation to new self-organization processes. He also gives a detailed description of applications of the general theory to various research fields, including the interaction of powerful radiation with matter, controlled thermonuclear research, etc.

Instabilities, Chaos and Turbulence

Paul Manneville
Instabilities Chaos and Turbulence Book PDF

Author : Paul Manneville
Publisher : World Scientific
Page : 456 pages
File Size : 53,5 Mb
Release : 2010
Category : Science
ISBN : 9781848163928

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Instabilities, Chaos and Turbulence by Paul Manneville Pdf

This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.

Nonlinear Waves and Weak Turbulence

Vladimir Evgenʹevich Zakharov
Nonlinear Waves and Weak Turbulence Book PDF

Author : Vladimir Evgenʹevich Zakharov
Publisher : American Mathematical Soc.
Page : 212 pages
File Size : 50,7 Mb
Release : 1998
Category : Hamiltonian systems
ISBN : 0821841130

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Nonlinear Waves and Weak Turbulence by Vladimir Evgenʹevich Zakharov Pdf

This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincare normal forms and the inverse scattering method.

Lecture Notes on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media

Michael Shats,Horst Punzmann
Lecture Notes on Turbulence and Coherent Structures in Fluids Plasmas and Nonlinear Media Book PDF

Author : Michael Shats,Horst Punzmann
Publisher : World Scientific
Page : 397 pages
File Size : 48,9 Mb
Release : 2006
Category : Science
ISBN : 9789812566980

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Lecture Notes on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media by Michael Shats,Horst Punzmann Pdf

This book is based on the lectures delivered at the 19th Canberra International Physics Summer School held at the Australian National University in Canberra (Australia) in January 2006.The problem of turbulence and coherent structures is of key importance in many fields of science and engineering. It is an area which is vigorously researched across a diverse range of disciplines such as theoretical physics, oceanography, atmospheric science, magnetically confined plasma, nonlinear optics, etc. Modern studies in turbulence and coherent structures are based on a variety of theoretical concepts, numerical simulation techniques and experimental methods, which cannot be reviewed effectively by a single expert.The main goal of these lecture notes is to introduce state-of-the-art turbulence research in a variety of approaches (theoretical, numerical simulations and experiments) and applications (fluids, plasmas, geophysics, nonlinear optical media) by several experts. A smooth introduction is presented to readers who are not familiar with the field, while reviewing the most recent advances in the area. This collection of lectures will provide a useful review for both postgraduate students and researchers new to the advancements in this field, as well as specialists seeking to expand their knowledge across different areas of turbulence research.

Turbulence

Uriel Frisch
Turbulence Book PDF

Author : Uriel Frisch
Publisher : Cambridge University Press
Page : 314 pages
File Size : 51,8 Mb
Release : 1995-11-30
Category : Science
ISBN : 0521457130

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Turbulence by Uriel Frisch Pdf

This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A.N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such "fully developed turbulence" is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. First, a qualitative introduction is given to bring out the need for a probabilistic description of what is in essence a deterministic system. Kolmogorov's 1941 theory is presented in a novel fashion with emphasis on symmetries (including scaling transformations) which are broken by the mechanisms producing the turbulence and restored by the chaotic character of the cascade to small scales. Considerable material is devoted to intermittency, the clumpiness of small-scale activity, which has led to the development of fractal and multifractal models. Such models, pioneered by B. Mandelbrot, have applications in numerous fields besides turbulence (diffusion limited aggregation, solid-earth geophysics, attractors of dynamical systems, etc). The final chapter contains an introduction to analytic theories of the sort pioneered by R. Kraichnan, to the modern theory of eddy transport and renormalization and to recent developments in the statistical theory of two-dimensional turbulence. The book concludes with a guide to further reading. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers.

The Dynamics of Modulated Wave Trains

A. Doelman
The Dynamics of Modulated Wave Trains Book PDF

Author : A. Doelman
Publisher : American Mathematical Soc.
Page : 122 pages
File Size : 45,9 Mb
Release : 2009
Category : Approximation theory
ISBN : 9780821842935

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The Dynamics of Modulated Wave Trains by A. Doelman Pdf

The authors investigate the dynamics of weakly-modulated nonlinear wave trains. For reaction-diffusion systems and for the complex Ginzburg-Landau equation, they establish rigorously that slowly varying modulations of wave trains are well approximated by solutions to the Burgers equation over the natural time scale. In addition to the validity of the Burgers equation, they show that the viscous shock profiles in the Burgers equation for the wave number can be found as genuine modulated waves in the underlying reaction-diffusion system. In other words, they establish the existence and stability of waves that are time-periodic in appropriately moving coordinate frames which separate regions in physical space that are occupied by wave trains of different, but almost identical, wave number. The speed of these shocks is determined by the Rankine-Hugoniot condition where the flux is given by the nonlinear dispersion relation of the wave trains. The group velocities of the wave trains in a frame moving with the interface are directed toward the interface. Using pulse-interaction theory, the authors also consider similar shock profiles for wave trains with large wave number, that is, for an infinite sequence of widely separated pulses. The results presented here are applied to the FitzHugh-Nagumo equation and to hydrodynamic stability problems.

Statistical Theories and Computational Approaches to Turbulence

Y. Kaneda,T. Gotoh
Statistical Theories and Computational Approaches to Turbulence Book PDF

Author : Y. Kaneda,T. Gotoh
Publisher : Springer Science & Business Media
Page : 409 pages
File Size : 54,7 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9784431670025

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Statistical Theories and Computational Approaches to Turbulence by Y. Kaneda,T. Gotoh Pdf

This volume contains the papers presented at the workshop on Statistical The ories and Computational Approaches to Turbulence: Modern Perspectives and Applications to Global-Scale Flows, held October 10-13, 2001, at Nagoya Uni versity, Nagoya, Japan. Because of recent developments in computational capabilities, the compu tational approach is showing the potential to resolve a much wider range of length and time scales in turbulent physical systems. Nevertheless, even with the largest supercomputers of the foreseeable future, development of adequate modeling techniques for at least some scales of motion will be necessary for practical computations of important problems such as weather forecasting and the prediction and control of global pollution. The more powerful the available machines become, the more demand there will be for precise prediction of the systems. This means that more precise and reliable knowledge of the underlying dynamics will become important, and that more efficient and precise numerical methods best adapted to the new generation of computers will be necessary. The understanding of the nature of unresolved scales then will playa key role in the modeling of turbulent motion. The challenge to turbulence theory here is to elucidate the physics or dynamics of those scales, in particular their sta tistical aspects, and thereby develop models on sound bases to reduce modeling ambiguity. The challenge to the computational method is to develop efficient algorithms suitable for the problems, the machines, and the developed models.

Frontiers In Turbulence And Coherent Structures - Proceedings Of The Cosnet/csiro Workshop On Turbulence And Coherent Structures In Fluids, Plasmas And Nonlinear Media

Jim Denier,Jorgen Frederiksen
Frontiers In Turbulence And Coherent Structures Proceedings Of The Cosnet csiro Workshop On Turbulence And Coherent Structures In Fluids Plasmas And Nonlinear Media Book PDF

Author : Jim Denier,Jorgen Frederiksen
Publisher : World Scientific
Page : 504 pages
File Size : 51,5 Mb
Release : 2007-06-04
Category : Science
ISBN : 9789814476454

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Frontiers In Turbulence And Coherent Structures - Proceedings Of The Cosnet/csiro Workshop On Turbulence And Coherent Structures In Fluids, Plasmas And Nonlinear Media by Jim Denier,Jorgen Frederiksen Pdf

This book is based on the proceedings of the COSNet/CSIRO Workshop on Turbulence and Coherent Structures held at the Australian National University in Canberra in January 2006.It codifies recent developments in our understanding of the dynamics and statistical dynamics of turbulence and coherent structures in fluid mechanics, atmospheric and oceanic dynamics, plasma physics, and dynamical systems theory. It brings together articles by internationally acclaimed researchers from around the world including Dijkstra (Utrecht), Holmes (Princeton), Jimenez (UPM and Stanford), Krommes (Princeton), McComb (Edinburgh), Chong (Melbourne), Dewar (ANU), Watmuff (RMIT) and Frederiksen (CSIRO).The book will prove a useful resource for researchers as well as providing an excellent reference for graduate students working in this frontier area.