Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

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Publisher : CRC Press
ISBN 13 : 9781584886631
Total Pages : 538 pages
Book Rating : 4.8/5 (866 download)

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Book Synopsis Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics by : Victor A. Galaktionov

Download or read book Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics written by Victor A. Galaktionov and published by CRC Press. This book was released on 2006-11-02 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators. Acting as a guide to nonlinear evolution equations and models from physics and mechanics, the book focuses on the existence of new exact solutions on linear invariant subspaces for nonlinear operators and their crucial new properties. This practical reference deals with various partial differential equations (PDEs) and models that exhibit some common nonlinear invariant features. It begins with classical as well as more recent examples of solutions on invariant subspaces. In the remainder of the book, the authors develop several techniques for constructing exact solutions of various nonlinear PDEs, including reaction-diffusion and gas dynamics models, thin-film and Kuramoto-Sivashinsky equations, nonlinear dispersion (compacton) equations, KdV-type and Harry Dym models, quasilinear magma equations, and Green-Naghdi equations. Using exact solutions, they describe the evolution properties of blow-up or extinction phenomena, finite interface propagation, and the oscillatory, changing sign behavior of weak solutions near interfaces for nonlinear PDEs of various types and orders. The techniques surveyed in Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics serve as a preliminary introduction to the general theory of nonlinear evolution PDEs of different orders and types.

Introduction to Plasma Physics

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Publisher : CRC Press
ISBN 13 : 9781439822074
Total Pages : 514 pages
Book Rating : 4.8/5 (22 download)

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Book Synopsis Introduction to Plasma Physics by : R.J Goldston

Download or read book Introduction to Plasma Physics written by R.J Goldston and published by CRC Press. This book was released on 2020-07-14 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Plasma Physics is the standard text for an introductory lecture course on plasma physics. The text's six sections lead readers systematically and comprehensively through the fundamentals of modern plasma physics. Sections on single-particle motion, plasmas as fluids, and collisional processes in plasmas lay the groundwork for a thorough understanding of the subject. The authors take care to place the material in its historical context for a rich understanding of the ideas presented. They also emphasize the importance of medical imaging in radiotherapy, providing a logical link to more advanced works in the area. The text includes problems, tables, and illustrations as well as a thorough index and a complete list of references.

Nonlinear Phenomena in Vlasov Plasmas

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Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.:/5 (38 download)

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Book Synopsis Nonlinear Phenomena in Vlasov Plasmas by : F. Doveil

Download or read book Nonlinear Phenomena in Vlasov Plasmas written by F. Doveil and published by . This book was released on 1988 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Cosmic Ray Diffusion Theories

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Publisher : Springer Science & Business Media
ISBN 13 : 3642003095
Total Pages : 210 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Nonlinear Cosmic Ray Diffusion Theories by : Andreas Shalchi

Download or read book Nonlinear Cosmic Ray Diffusion Theories written by Andreas Shalchi and published by Springer Science & Business Media. This book was released on 2009-06-04 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: If charged particles move through the interplanetary or interstellar medium, they interact with a large-scale magnetic ?eld such as the magnetic ?eld of the Sun or the Galactic magnetic ?eld. As these background ?elds are usually nearly constant in time and space, they can be approximated by a homogeneous ?eld. If there are no additional ?elds, the particle trajectory is a perfect helix along which the par- cle moves at a constant speed. In reality, however, there are turbulent electric and magnetic?elds dueto the interstellaror solar wind plasma. These ?elds lead to sc- tering of the cosmic rays parallel and perpendicular to the background ?eld. These scattering effects, which usually are of diffusive nature, can be described by s- tial diffusion coef?cients or, alternatively, by mean free paths. The knowledge of these parameters is essential for describing cosmic ray propagation as well as d- fusive shock acceleration. The latter process is responsible for the high cosmic ray energies that have been observed. The layout of this book is as follows. In Chap. 1, the general physical scenario is presented. We discuss fundamental processes such as cosmic ray propagation and acceleration in different systems such as the solar system or the interst- lar space. These processes are a consequence of the interaction between charged cosmic particles and an astrophysical plasma (turbulence). The properties of such plasmas are therefore the subject of Chap. 2.

Abstracts of theses

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Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (32 download)

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Book Synopsis Abstracts of theses by : Massachusetts Institute of Technology

Download or read book Abstracts of theses written by Massachusetts Institute of Technology and published by . This book was released on 1966 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nuclear Science Abstracts

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Publisher :
ISBN 13 :
Total Pages : 612 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quasilinear and Nonlinear Wave-Particle Interactions in Magnetospheric Plasmas

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Publisher : Frontiers Media SA
ISBN 13 : 2832537103
Total Pages : 144 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Quasilinear and Nonlinear Wave-Particle Interactions in Magnetospheric Plasmas by : Oliver Allanson

Download or read book Quasilinear and Nonlinear Wave-Particle Interactions in Magnetospheric Plasmas written by Oliver Allanson and published by Frontiers Media SA. This book was released on 2023-10-27 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 910 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Space Plasma Physics

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Publisher : World Scientific
ISBN 13 : 1911298704
Total Pages : 393 pages
Book Rating : 4.9/5 (112 download)

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Book Synopsis Advanced Space Plasma Physics by : Wolfgang Baumjohann

Download or read book Advanced Space Plasma Physics written by Wolfgang Baumjohann and published by World Scientific. This book was released on 1997-01-03 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book builds on the fluid and kinetic theory of equilibria and waves presented in a companion textbook, Basic Space Plasma Physics (by the same authors), but can also serve as a stand-alone text. It extends the field covered there into the domain of plasma instability and nonlinear theory.The book provides a representative selection of the many possible macro- and microinstabilities in a space plasma, from the Rayleigh-Taylor and Kelvin-Helmholtz to electrostatic and electromagnetic kinetic instabilities. Their quasilinear stabilization and nonlinear evolution and their application to space physics problems are treated. The chapters on nonlinear theory include nonlinear waves, weak turbulence and strong turbulence, all presented from the viewpoint of their relevance to space plasma physics. Special topics include auroral particle acceleration, soliton formation and caviton collapse, anomalous transport, and the theory of collisionless shocks.

Fusion Energy Update

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Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fusion Energy Update by :

Download or read book Fusion Energy Update written by and published by . This book was released on 1982-04 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Soviet Journal of Plasma Physics

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Publisher :
ISBN 13 :
Total Pages : 1044 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Soviet Journal of Plasma Physics by :

Download or read book Soviet Journal of Plasma Physics written by and published by . This book was released on 1986 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Plasma Physics and Controlled Nuclear Fusion Research

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Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.1/5 (133 download)

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Book Synopsis Plasma Physics and Controlled Nuclear Fusion Research by :

Download or read book Plasma Physics and Controlled Nuclear Fusion Research written by and published by . This book was released on 1963 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Aspects of Anomalous Transport in Plasmas

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Publisher : CRC Press
ISBN 13 : 9781420034684
Total Pages : 498 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Aspects of Anomalous Transport in Plasmas by : Radu Balescu

Download or read book Aspects of Anomalous Transport in Plasmas written by Radu Balescu and published by CRC Press. This book was released on 2005-04-01 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anomalous transport is a ubiquitous phenomenon in astrophysical, geophysical and laboratory plasmas; and is a key topic in controlled nuclear fusion research. Despite its fundamental importance and ongoing research interest, a full understanding of anomalous transport in plasmas is still incomplete, due to the complexity of the nonlinear phenomena involved. Aspects in Anomalous Transport in Plasmas is the first book to systematically consider anomalous plasma transport theory and provides a unification of the many theoretical models by emphasizing interrelations between seemingly different methodologies. It is not intended as a catalogue of the vast number of plasma instabilities leading to anomalous transport; instead it chooses a number of these and emphasizes the aspects specifically due to turbulence. After a brief introduction, the microscopic theory of turbulence is discussed, including quasilinear theory and various aspects of renormalization methods, which leads to an understanding of resonance broadening, mode coupling, trajectory correlation and clumps. The second half of the book is devoted to stochiastic tramsport, using methods based on the Langevin equations and on Random Walk theory. This treatment aims at going beyond the traditional limits of weak turbulence, by introducing the recently developed method of decorrelation trajectories, and its application to electrostatic turbulence, magnetic turbulence and zonal flow generation. The final chapter includes very recent work on the nonlocal transport phenomenon.

Fusion Reactor Design

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Publisher : John Wiley & Sons
ISBN 13 : 3527414037
Total Pages : 644 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis Fusion Reactor Design by : Takashi Okazaki

Download or read book Fusion Reactor Design written by Takashi Okazaki and published by John Wiley & Sons. This book was released on 2022-03-14 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fusion Reactor Design Provides a detailed overview of fusion reactor design, written by an international leader in the field Nuclear fusion—generating four times as much energy from the same mass of fuel as nuclear fission—is regarded by its proponents as a viable, eco-friendly alternative to gas-fired, coal-fired, and conventional power plants. Although the physics of nuclear fusion is essentially understood, the construction of prototype reactors currently presents significant technical challenges. Fusion Reactor Design: Plasma Physics, Fuel Cycle System, Operation and Maintenance provides a systematic, reader-friendly introduction to the characteristics, components, and critical systems of fusion reactors. Focusing on the experimental Tokamak reactor, this up-to-date resource covers relevant plasma physics, necessary technology, analysis methods, and the other aspects of fusion reactors. In-depth chapters include derivations of key formulas, figures highlighting physical and structural characteristics of fusion reactors, illustrative numerical calculations, practical design examples, and more. Designed to help researchers and engineers understand and overcome the technological difficulties in making fusion power a reality, this volume: Provides in-depth knowledge on controlled thermonuclear fusion and its large-scale application in both current fusion reactors and future test reactors Covers plasma analysis, plasma equilibrium and stability, and plasma transport and confinement, and safety considerations Explains each component of fusion reactors, including divertors, superconducting coils, plasma heating and current drive systems, and vacuum vessels Discusses safety aspects of fusion reactors as well as computational approaches to safety aspects of fusion reactors Fusion Reactor Design: Plasma Physics, Fuel Cycle System, Operation and Maintenance is required reading for undergraduate and graduate students studying plasma physics and fusion reactor technology, and an important reference for nuclear physicists, nuclear reactor manufacturers, and power engineers involved in fusion reactor research and advanced technology development.

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

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Publisher : World Scientific
ISBN 13 : 9812566988
Total Pages : 397 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Lecture Notes on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media by : Michael Shats

Download or read book Lecture Notes on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media written by Michael Shats and published by World Scientific. This book was released on 2006 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Statistical Theory of Non-Equilibrium Processes in a Plasma

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Publisher : Elsevier
ISBN 13 : 1483214621
Total Pages : 301 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Statistical Theory of Non-Equilibrium Processes in a Plasma by : Yu L Klimontovich

Download or read book The Statistical Theory of Non-Equilibrium Processes in a Plasma written by Yu L Klimontovich and published by Elsevier. This book was released on 2013-09-17 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Statistical Theory of Non-equilibrium Processes in a Plasma covers the modern statistical theory of non-equilibrium processes in a plasma by a unified method, proceeding from the microscopic equations. The book discusses Maxwell equations for slow and fast processes; magnetohydrodynamic equations; microscopic equations for a plasma; and equations with a self-consistent field (Vlasov equations). The text then describes correlation and spectral function; kinetic equations for a plasma; and Landau equations. It also examines the kinetic equations and expressions for spectral functions when the radiation by plasma waves is taken into account; and the hydrodynamic description of processes in a plasma. Physicists and students taking courses in mechanics and mathematics will find the book invaluable.

Solitons in Macromolecular Systems

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Publisher : Nova Publishers
ISBN 13 : 9781604562651
Total Pages : 142 pages
Book Rating : 4.5/5 (626 download)

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Book Synopsis Solitons in Macromolecular Systems by : Leonid Isaakovich Manevich

Download or read book Solitons in Macromolecular Systems written by Leonid Isaakovich Manevich and published by Nova Publishers. This book was released on 2008 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the issue of non-linear problems that have dominated the forefront of physics. To analyse these problems, it is necessary to develop mathematical methods to match new concepts. In this connection, for the first time in a long time, the same key notions have attracted the attention of physicists and mathematicians. This book discusses how the role of such excitations in essentially non-linear systems is similar to that of harmonic oscillations and waves in linear physical models.