This volume contains the Proceedings of the Third International Conference on Navier-Stokes Equations and Related Nonlinear Problems. The conference was held in Funchal (Madeira, Portugal), on May 21-27, 1994. In addition to the editor, the organizers were Carlos Albuquerque (FC, University of Lisbon), Casimiro Silva (University of Madeira) and Juha Videman (1ST, Technical University of Lisbon). This meeting, following two other successful events of similar type held in Thurnau (Germany) in 1992 and in Cento (Italy) in 1993, brought together, to the majestically beautiful island of Madeira, more than 60 specialists from all around the world, of which about two thirds were invited lecturers. The main interest of the meeting was focused on the mathematical analysis of nonlinear phenomena in fluid mechanics. During the conference, we noticed that this area seems to provide, today more than ever, challenging and increasingly important problems motivating the research of both theoretical and numerical analysts. This volume collects 32 articles selected from the invited lectures and contributed papers given during the conference. The main topics covered include: Flows in Unbounded Domains; Flows in Bounded Domains; Compressible Fluids; Free Boundary Problems; Non-Newtonian Fluids; Related Problems and Numerical Approximations. The contributions present original results or new surveys on recent developments, giving directions for future research. I express my gratitude to all the authors and I am glad to recognize the scientific level and the actual interest of the articles.

This book describes the coupling between elementary processes, plasma kinetics and electrodynamics in different types of electrical discharges and under non-equilibrium conditions. Analytical methods based on rigorous kinetic theory are developed to interpret the results obtained by numerical methods. Particular emphasis is placed on the kinetics of non-equilibrium N2, O2 and N2-02 plasmas as well as on conditions relevant to atmospheric physics, reentry problems and acoustic and shock waves in non-equilibrium atmospheric gases.

This book covers a diverse cross section of this interdisciplinary research field, with contributions grouped into four categories: laser-induced filamentation; atoms and molecules in a laser field; interaction of solid materials with a coherent light field; and ion acceleration and ionization of atoms in super intense laser fields. This book series presents up-to-date reviews of advances in this interdisciplinary research field, spanning atomic and molecular physics, as well as molecular and optical science, which have been stimulated by the recent developments in ultrafast laser technologies. Each book compiles peer-reviewed articles by researchers at the forefront of their particular subfields. All the chapters include an overview to allow graduate students and researchers unfamiliar with the subfield to grasp the importance and attractions of the topic covered, followed by reports of cutting-edge discoveries.

Freja is a joint Swedish and German satellite, launched on October 6, 1992 and orbiting at 600--1750 km, covering the lower part of the auroral acceleration region. It has been designed to provide high-resolution measurements (both temporal and spatial) of auroral plasma characteristics. The high telemetry rate, together with the 15 Mbyte distributed on-board memories allow Freja to resolve meso and micro-scale phenomena in the 100 m range for particles and 1--10 m range for electric and magnetic fields. The UV imager resolves auroral structures of 1 km size at a time resolution of one image every 6 s. The novel plasma instruments are orders of magnitude better than any that have gone before. The Freja Mission is about the scientific objectives, instruments and platform itself. Detailed descriptions are given of the instrumentation and the first data acquired. It is one of the very few books to contain such material in a single volume, relating the instruments' design with their in-flight characteristics. For space engineers and other researchers interested in space science.

The origin of optical methods for fluid flow investigations appears to be nontraceable. This is no matter for surprise. After all seeing provides the most direct and common way for humans to learn about their environment. But at the same time some of the most sophisticated methods for doing measurements in fluids are also based on light and often laser light. A very large amount of material has been published in this area over the last two decades. Why then another publication? Well, the field is still in a state of rapid development. It is characterised by the use of results and methods developed within very different areas like optical physics, spectroscopy, communication systems, electronics and computer science, mechanical engineering, chemical engineering and, of course, fluid dynamics. We are not aware of a book containing both introductory and more advanced material that covers the same material as presented here. The book is the result of a compilation and expansion of material presented at a summer school on Optical Diagnosticsfor Flow Processes, held at RiS0 National Laboratory and the Technical University of Denmark in September 1993. The aim of the course was to provide a solid background for understanding, evaluating, and using modem optical diagnostic methods, addressing Ph. D. students and researchers active in areas of fluid flow research. The disciplines represented by the participants ranged from atmospheric fluid dynamics to biomedicine

Nonlinear Wave and Plasma Structures in the Auroral and Subauroral Geospace presents a comprehensive examination of the self-consistent processes leading to multiscale electromagnetic and plasma structures in the magnetosphere and ionosphere near the plasmapause, particularly in the auroral and subauroral geospace. It utilizes simulations and a large number of relevant in situ measurements conducted by the most recent satellite missions, as well as ground-based optical and radar observations to verify the conclusions and analysis. Including several case studies of observations related to prominent geospacer events, the book also provides experimental and numerical results throughout the chapters to further enhance understanding of how the same physical mechanisms produce different phenomena at different regions of the near-Earth space environment. Additionally, the comprehensive description of mechanisms responsible for space weather effects will give readers a broad foundation of wave and particle processes in the near-Earth magnetosphere. As such, Nonlinear Wave and Plasma Structures in the Auroral and Subauroral Geospace Nonlinear Wave and Plasma Structures in the Auroral and Subauroral Geospace is a cutting-edge reference for space physicists looking to better understand plasma physics in geospace.

This book introduces the concepts of more electric aircraft and aviation electrical appliances, as well as the aviation experimental platform of vacuum switches, the interruption characteristics, frequency characteristics and post-arc breakdown characteristics of intermediate frequency vacuum switches, etc. It is the first monograph on protection electrical appliances, vacuum interrupter in aviation variable frequency power system. This book includes a lot of experimental process and chart analysis for readers to understand and provides references for practical engineering problems. This book could be used as references for engineers and technicians working on electric power systems in aircrafts.

This book provides a comprehensive look at the state of the art of externally driven and self-generated rotation as well as momentum transport in tokamak plasmas. In addition to recent developments, the book includes a review of rotation measurement techniques, measurements of directly and indirectly driven rotation, momentum sinks, self-generated flow, and momentum transport. These results are presented alongside summaries of prevailing theory and are compared to predictions, bringing together both experimental and theoretical perspectives for a broad look at the field. Both researchers and graduate students in the field of plasma physics will find this book to be a useful reference. Although there is an emphasis on tokamaks, a number of the concepts are also relevant to other configurations.

This open access book serves as textbook on the physics of the radiation belts surrounding the Earth. Discovered in 1958 the famous Van Allen Radiation belts were among the first scientific discoveries of the Space Age. Throughout the following decades the belts have been under intensive investigation motivated by the risks of radiation hazards they expose to electronics and humans on spacecraft in the Earth's inner magnetosphere. This textbook teaches the field from basic theory of particles and plasmas to observations which culminated in the highly successful Van Allen Probes Mission of NASA in 2012-2019. Using numerous data examples the authors explain the relevant concepts and theoretical background of the extremely complex radiation belt region, with the emphasis on giving a comprehensive and coherent understanding of physical processes affecting the dynamics of the belts. The target audience are doctoral students and young researchers who wish to learn about the physical processes underlying the acceleration, transport and loss of the radiation belt particles in the perspective of the state-of-the-art observations.

Features Introduces the physics of accelerators, lasers, and plasma in tandem with the industrial methodology of inventiveness. Outlines a path from idea to practical implementation of scientific and technological innovation. Contains more than 380 illustrations and numerous end-of-chapter exercises.

This book presents the basics of superconductivity and applications of superconducting magnets. It explains the phenomenon of superconductivity, describes theories of superconductivity, and discusses type II and high-temperature cuprate superconductors. The main focus of the book is the application of superconducting magnets in accelerators, fusion reactors and other advanced applications such as nuclear magnetic resonance (NMR), magnetic resonance imaging (MRI), high-gradient magnetic separation (HGMS), and superconducting magnetic energy storage (SMES). This new and significantly extended second edition covers the state of the art in the development of novel superconductors for advanced magnet applications, as well as the production of practical superconducting wires, tapes, and ultra high current cables used for high-field magnets. It includes two new chapters each devoted to MgB2 and Fe-based superconductors, and discusses the recently developed and world record-setting 45.5-Tesla magnetic field generated by a combination of conventional and high-temperature cuprate superconducting magnets. In addition, it discusses the status and outlook of all current and future nuclear fusion reactors worldwide. The chapter on accelerators includes the ongoing efforts to build high luminosity LHC (HL-LHC), the high-energy 28 TeV LHC (HE-LHC), the future circular collider (FCC) at CERN, and the just launched electro-ion collider (EIC) at Brookhaven National Laboratory. The book is based on the long-standing experience of the author in studying superconducting materials, building magnets and delivering numerous lectures to research scholars and students. The book provides comprehensive and fundamental knowledge in the field of applied superconductivity, greatly benefiting researchers and graduate students wishing to learn more about the various aspects of superconductivity and advanced magnet applications.

A variety of plasmas include molecules rather than only ions or atoms. Examples are ionospheres of the Earth and other planets, stellar atmospheres, gaseous discharges for use in various devices and processes, and fusion plasmas in the edge region. This book describes the role of molecules in those plasmas by showing elementary collision processes involving those molecules. All possible processes are presented both for electron and ion collisions with the molecules. On the basis of the accumulated knowledge in atomic and molecular physics, a compact but informative description is given for each process. Specific emphasis is placed on the feature which application people often tend to overlook.

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.

This book provides a systematic introduction to the observation and application of kinetic Alfven waves (KAWs) in various plasma environments, with a special focus on the solar-terrestrial coupling system. Alfven waves are low-frequency and long-wavelength fluctuations that pervade laboratory, space and cosmic plasmas. KAWs are dispersive Alfven waves with a short wavelength comparable to particle kinematic scales and hence can play important roles in the energization and transport of plasma particles, the formation of fine magneto-plasma structures, and the dissipation of turbulent Alfven waves. Since the 1990s, experimental studies on KAWs in laboratory and space plasmas have significantly advanced our understanding of KAWs, making them an increasingly interesting subject. Without a doubt, the solar-terrestrial coupling system provides us with a unique natural laboratory for the comprehensive study of KAWs. This book presents extensive observations of KAWs in solar and heliospheric plasmas, as well as numerous applications of KAWs in the solar-terrestrial coupling system, including solar atmosphere heating, solarwind turbulence, solar wind-magnetosphere interactions, and magnetosphere-ionosphere coupling. In addition, for the sake of consistency, the book includes the basic theories and physical properties of KAWs, as well as their experimental demonstrations in laboratory plasmas. In closing, it discusses possible applications of KAWs to other astrophysical plasmas. Accordingly, the book covers all the major aspects of KAWs in a coherent manner that will appeal to advanced graduate students and researchers whose work involves laboratory, space and astrophysical plasmas.

Plasma methods that effectively combine ultraviolet radiation, active chemicals, and high electric fields offer an alternative to conventional water treatment methods. However, knowledge of the electric breakdown of liquids has not kept pace with this increasing interest, mostly due to the complexity of phenomena related to the plasma breakdown process. Plasma Discharge in Liquid: Water Treatment and Applications provides engineers and scientists with a fundamental understanding of the physical and chemical phenomena associated with plasma discharges in liquids, particularly in water. It also examines state-of-the-art plasma-assisted water treatment technologies. The Physics & Applications of Underwater Plasma Discharges The first part of the book describes the physical mechanism of pulsed electric breakdown in water and other liquids. It looks at how plasma is generated in liquids and discusses the electronic and bubble mechanism theories for how the electric discharge in liquid is initiated. The second part of the book focuses on various water treatment applications, including: Decontamination of volatile organic compounds and remediation of contaminated water Microorganism sterilization and other biological applications Cooling water treatment Drawing extensively on recent research, this one-stop reference combines the physics and applications of electric breakdown in liquids in a single volume. It offers a valuable resource for scientists, engineers, and students interested in the topic of plasmas in liquids.

This book offers an introduction to the booming field of high-power laser-matter interaction. It covers the heating of matter to super-high temperatures and pressures, novel schemes of fast particle acceleration, matter far from thermal equilibrium, stimulated radiation scattering, relativistic optics, strong field QED, as well as relevant applications, such as extreme states of matter, controlled fusion, and novel radiation sources. All models and methods considered are introduced as they arise and illustrated by relevant examples. Each chapter contains a selection of problems to test the reader's understanding, to apply the models under discussion to relevant situations and to discover their limits of validity. The carefully chosen illustrations greatly facilitate the visualization of physical processes as well as presenting detailed numerical results. A list of useful formulas and tables are provided as a guide to quantifying results from experiments and numerical simulations. Each chapter ends with a description of the state of the art and the current research frontiers.

Features Discusses fluid theory illustrated by the investigation of Langmuir sheaths Explores charged particle motion illustrated by the investigation of charged particle trapping in the earth's magnetosphere Examines the MHD and WKB theories

This book reviews recent progress in our understanding of tokamak physics related to steady state operation, and addresses the scientific feasibility of a steady state tokamak fusion power system. It covers the physical principles behind continuous tokamak operation and details the challenges remaining and new lines of research towards the realization of such a system. Following a short introduction to tokamak physics and the fundamentals of steady state operation, later chapters cover parallel and perpendicular transport in tokamaks, MHD instabilities in advanced tokamak regimes, control issues, and SOL and divertor plasmas. A final chapter reviews key enabling technologies for steady state reactors, including negative ion source and NBI systems, Gyrotron and ECRF systems, superconductor and magnet systems, and structural materials for reactors. The tokamak has demonstrated an excellent plasma confinement capability with its symmetry, but has an intrinsic drawback with its pulsed operation with inductive operation. Efforts have been made over the last 20 years to realize steady state operation, most promisingly utilizing bootstrap current. Frontiers in Fusion Research II: Introduction to Modern Tokamak Physics will be of interest to graduate students and researchers involved in all aspects of tokamak science and technology.

This book explores several key issues in beam phase space dynamics in plasma-based wakefield accelerators. It reveals the phase space dynamics of ionization-based injection methods by identifying two key phase mixing processes. Subsequently, the book proposes a two-color laser ionization injection scheme for generating high-quality beams, and assesses it using particle-in-cell (PIC) simulations. To eliminate emittance growth when the beam propagates between plasma accelerators and traditional accelerator components, a method using longitudinally tailored plasma structures as phase space matching components is proposed. Based on the aspects above, a preliminary design study on X-ray free-electron lasers driven by plasma accelerators is presented. Lastly, an important type of numerical noise-the numerical Cherenkov instabilities in particle-in-cell codes-is systematically studied.

Evry SCHATZMAN Radio-Astronomie, E. N. S. , Paris, France The recent developments of the Supernova theory and numerical relativity can lead in the near future to an understanding of gravitational collapse and to a reliable prediction of the amplitude of the gravitational waves generated during neutron star formation. These prospects explain the great interest which has developed in the international scientific community for the workshop. We were financially limited in the number of guests and participants and we apologize for not having been able to gather all the specialists actually involved in research programs relevant to gravitational collapse and numerical relativity. This limitation took place despite all the financial assistance which we have received from various institutions, first the C. N. R. S. (Centre National de 1a Recherche Scientifique) which has supported the request of Dr. Monique SIGNORE of organizing a workshop. Furhter help was obtained from I. N. A. G. (Institut National d'Astronomie et de Geophysique), Toulouse University (Universite "Paul Sabatier" or "Toulouse III"), the Toulouse section of C. N. E. S. (Centre National d'Etudes Spatia1es), the Department of theoretical physics of the C. E. A. , the Department of Astrophysique of the C. E. A. (Centre d'Etudes Nucleaires, Saclay), D. R. E. T. (Direction des Recherches Etudes et Techniques) and last but not least an important grant from NATO, whose scientific Committee recognized the international significance of the workshop. The meeting was organized by Professor D.

This book serves as an introduction to boundary plasma physics, providing an accessible entry point to the topic of plasma exhaust in magnetic confinement devices. While it delivers a concise, rigorous, and comprehensive account of all the major scientific topics relevant to those working on the subject, it also remains accessible and easy to consult due to its modular and compact structure. Beginning with the basic kinetic and fluid descriptions of plasma, and advancing through plasma-surface interactions, filamentary transport and plasma detachment, to conclude with a discussion of divertor configurations, this book represents a necessary and timely addition to the literature on the fast-growing field of boundary plasma physics. It will appeal to experienced theoreticians or experimentalists looking to enter the field as well as graduate students wishing to learn about it.

This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin's approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions.The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research.

Cold plasma is one of the newest technologies tested for food preservation. In the last decade, this novel approach has shown promising results as a disinfectant of food products and packaging materials. Cold plasma is also affordable, waterless, waste-free, and leaves no chemical residue on the product. This exciting new technology is covered thoroughly in Advances in Cold Plasma Applications for Food Preservation. The book presents the basic principles of cold plasma, examples of food products disinfected by cold plasma, and the challenges of using cold plasma to maximize microbial and spore inactivation. Some chapters are devoted to specific applications of the technology, such as the use of cold plasma for space missions. Insights about the required regulations for this technology are also discussed. Written and edited by experts in the field, Advances in Cold Plasma Applications for Food Preservation is aimed at academic researchers, food scientists, and government officials working on disinfection of food products.

This thesis focuses on ULF (Ultra-low-frequency) waves' interaction with plasmasphere particles and ring current ions in the inner magnetosphere. It first reports and reveals mutual effect between ULF waves and plasmasphere using Van Allen Probes data. The differences and similarities of different ring current ions interacting with ULF waves are extensively explored using Cluster data, which provides a potential explanation for O+-dominated ring current during the magnetic storms. Furthermore, this thesis finds a method to study the phase relationship between ULF waves and drift-bounce resonant particles, and proposes that the phase relationship can be used to diagnose the parallel structure of standing wave electric field and energy transfer directions between waves and particles. The findings in this thesis can significantly promote our understanding of ULF waves' role in the dynamics of inner magnetosphere.