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    Magnetohydrodynamics

    Posted By: AvaxGenius
    Magnetohydrodynamics

    Magnetohydrodynamics by eter A. Davidson, Andre Thess
    English | PDF (True) | 2002 | 158 Pages | ISBN : 3211836861 | 15.4 MB

    This book is an introduction to terrestial magnetohydrodynamics. It is a compendium of introductory lectures by experts in the field, focussing on applications in industry and the laboratory. A concise overview of the subject with references to further study.

    Hybrid Dynamical Systems: Controller and Sensor Switching Problems

    Posted By: AvaxGenius
    Hybrid Dynamical Systems: Controller and Sensor Switching Problems

    Hybrid Dynamical Systems: Controller and Sensor Switching Problems by Andrey V. Savkin , Robin J. Evans
    English | PDF | 2002 | 158 Pages | ISBN : 0817642242 | 10.8 MB

    This book is primarily a research monograph that presents in a unified man­ ner some recent research on a class of hybrid dynamical systems (HDS). The book is intended both for researchers and advanced postgraduate stu­ dents working in the areas of control engineering, theoretical computer science, or applied mathematics and with an interest in the emerging field of hybrid dynamical systems. The book assumes competence in the basic mathematical techniques of modern control theory. The material presented in this book derives from a period of fruitful research collaboration between the authors that began in 1994 and is still ongoing. Some of the material contained herein has appeared as isolated results in journal papers and conference proceedings. This work presents this material in an integrated and coherent manner and also presents many new results. Much of the material arose from joint work with students and colleagues, and the authors wish to acknowledge the major contributions made by Ian Petersen, Efstratios Skafidas, Valery Ugrinovskii, David Cook, Iven Mareels, and Bill Moran. There is currently no precise definition of a hybrid dynamical system; however, in broad terms it is a dynamical system that involves a mixture of discrete-valued and continuous-valued variables. Since the early 1990s, a bewildering array of results have appeared under the umbrella of HDS, ranging from the analysis of elementary on-off control systems to sophis­ ticated mathematical logic-based descriptions of large real-time software systems.

    Applied Mathematics

    Posted By: AvaxGenius
    Applied Mathematics

    Applied Mathematics by Gerald Dennis Mahan
    English | PDF (True) | 2002 | 374 Pages | ISBN : 030646683X | 22.9 MB

    This volume is a textbook for a year-long graduate level course in All research universities have applied mathematics for scientists and engineers. such a course, which could be taught in different departments, such as mathematics, physics, or engineering. I volunteered to teach this course when I realized that my own research students did not learn much in this course at my university. Then I learned that the available textbooks were too introduc­ tory. While teaching this course without an assigned text, I wrote up my lecture notes and gave them to the students. This textbook is a result of that endeavor. When I took this course many, many, years ago, the primary references were the two volumes of P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, 1953). The present text returns the contents to a similar level, although the syllabus is quite different than given in this venerable pair of books.

    An Introduction to the Geometry and Topology of Fluid Flows

    Posted By: AvaxGenius
    An Introduction to the Geometry and Topology of Fluid Flows

    An Introduction to the Geometry and Topology of Fluid Flows by Renzo L. Ricca
    English | PDF(True) | 2001 | 346 Pages | ISBN : 1402002068 | 30.3 MB

    Leading experts present a unique, invaluable introduction to the study of the geometry and typology of fluid flows. From basic motions on curves and surfaces to the recent developments in knots and links, the reader is gradually led to explore the fascinating world of geometric and topological fluid mechanics.

    Applied Predictive Control

    Posted By: AvaxGenius
    Applied Predictive Control

    Applied Predictive Control by Huang Sunan , Tan Kok Kiong , Lee Tong Heng
    English | PDF (True) | 2002 | 276 Pages | ISBN : 1852333383 | 16 MB

    The series Advances in Industrial Control aims to report and encourage technology transfer in control engineering. The rapid development of control technology has an impact on all areas of the control discipline. New theory, new controllers, actuators, sensors, new industrial processes, computer methods, new applications, new philosophies … , new challenges. Much of this development work resides in industrial reports, feasibility study papers and the reports of advanced collaborative projects. The series offers an opportunity for researchers to present an extended exposition of such new work in all aspects of industrial control for wider and rapid dissemination. The Advances in Industrial Control series promotes control techniques, which are used by industry. The series has useful volumes in various aspects of proportional-integral-derivative (PID) control because of the widespread use of PID in applications. Predictive control is another technique that quickly became essential in some sectors of the petro-chemical, and process control industries. It was the ability of the method to incorporate operational constraints that lead to this take-up by industry. The wider industrial applications of predictive control has been slower to develop; indeed some practitioners might argue that this technology transfer step is still active or had only just begun in some industrial sectors.

    Geometric Method for Stability of Non-Linear Elastic Thin Shells

    Posted By: AvaxGenius
    Geometric Method for Stability of Non-Linear Elastic Thin Shells

    Geometric Method for Stability of Non-Linear Elastic Thin Shells by Jordanka Ivanova , Franco Pastrone
    English | PDF | 2002 | 252 Pages | ISBN : 0792375246 | 28.8 MB

    PREFACE This book deals with the new developments and applications of the geometric method to the nonlinear stability problem for thin non-elastic shells. There are no other published books on this subject except the basic ones of A. V. Pogorelov (1966,1967,1986), where variational principles defined over isometric surfaces, are postulated, and applied mainly to static and dynamic problems of elastic isotropic thin shells. A. V. Pogorelov (Harkov, Ukraine) was the first to provide in his monographs the geometric construction of the deformed shell surface in a post-critical stage and deriving explicitely the asymptotic formulas for the upper and lower critical loads. In most cases, these formulas were presented in a closed analytical form, and confirmed by experimental data. The geometric method by Pogorelov is one of the most important analytical methods developed during the last century. Its power consists in its ability to provide a clear geometric picture of the postcritical form of a deformed shell surface, successfully applied to a direct variational approach to the nonlinear shell stability problems. Until now most Pogorelov's monographs were written in Russian, which limited the diffusion of his ideas among the international scientific community. The present book is intended to assist and encourage the researches in this field to apply the geometric method and the related results to everyday engineering practice.

    Continuum Thermomechanics: The Art and Science of Modelling Material Behaviour

    Posted By: AvaxGenius
    Continuum Thermomechanics: The Art and Science of Modelling Material Behaviour

    Continuum Thermomechanics: The Art and Science of Modelling Material Behaviour لاغ Gérard A. Maugin (co-ordinator), Raymonde Drouot, François Sidoroff
    English | PDF | 2002 | 428 Pages | ISBN : 0792364074 | 32.9 MB

    Contributed by world-renowned specialists on the occasion of Paul Germain's 80th birthday, this unique book reflects the foundational works and the intellectual influence of this author. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid. The thirty-one contributions follow an easygoing autobiographical sketch by Paul Germain, and highlight the power and richness of a methodological approach to the phenomenology of many materials. This approach combines harmoniously thermodynamics and continuum theory in order to provide exploitable, thermodynamically admissible models of a large variety of behaviours and phenomena, including those of diffusion, thermoelasticity, viscoplasticity, relaxation, hysteresis, wetting, shape-memory effects, growth, phase transitions, stability, fracture, shocks, machining of materials, microstructured solids, complex fluids, etc.

    From Local to Global Optimization

    Posted By: AvaxGenius
    From Local to Global Optimization

    From Local to Global Optimization by Athanasios Migdalas, Panos M. Pardalos, Peter Värbrand
    English | PDF (True) | 2001 | 348 Pages | ISBN : 0792368835 | 37.3 MB

    The book consists of research papers based on results presented at a conference held in Sweden to celebrate Hoang Tuy's achievements in Optimization. The collection is dedicated to Professor Tuy on the occasion of his 70th birthday. The papers appear in alphabetical order by first author and cover a wide range of recent results in Mathematical Programming. The work of Hoang Tuy, in particular in Global Optimization, has provided directions for new algorithmic developments in the field. Audience: Faculty, graduate students, and researchers in mathematical programming, computer science and engineering.

    Systems of Conservation Laws: Two-Dimensional Riemann Problems

    Posted By: AvaxGenius
    Systems of Conservation Laws: Two-Dimensional Riemann Problems

    Systems of Conservation Laws: Two-Dimensional Riemann Problems by Yuxi Zheng
    English | PDF (True) | 2001 | 324 Pages | ISBN : 0817640800 | 49.6 MB

    This work should serve as an introductory text for graduate students and researchers working in the important area of partial differential equations with a focus on problems involving conservation laws. The only requisite for the reader is a knowledge of the elementary theory of partial differential equations.

    Advances in the Theory of Shock Waves

    Posted By: AvaxGenius
    Advances in the Theory of Shock Waves

    Advances in the Theory of Shock Waves by Tai-Ping Liu , Guy Métivier , Joel Smoller , Blake Temple , Wen-An Yong , Kevin Zumbrun
    English | PDF (True) | 2001 | 527 Pages | ISBN : 0817641874 | 36.6 MB

    In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. Joel Smoller and Blake Temple have established classes of shock wave solutions to the Einstein­ Euler equations of general relativity; indeed, the mathematical and physical con­ sequences of these examples constitute a whole new area of research. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. Due to the intersection of point and essential spectrum, such an ap­ proach had for a long time seemed out of reach. The stability problem for "in­ viscid" shock waves has been given a novel, clear and concise treatment by Guy Metivier and coworkers through the use of paradifferential calculus. The L 1 semi­ group theory for systems of conservation laws, itself still a recent development, has been considerably condensed by the introduction of new distance functionals through Tai-Ping Liu and collaborators; these functionals compare solutions to different data by direct reference to their wave structure. The fundamental prop­ erties of systems with relaxation have found a systematic description through the papers of Wen-An Yong; for shock waves, this means a first general theorem on the existence of corresponding profiles. The five articles of this book reflect the above developments.

    Spatial Patterns: Higher Order Models in Physics and Mechanics

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    Spatial Patterns: Higher Order Models in Physics and Mechanics

    Spatial Patterns: Higher Order Models in Physics and Mechanics by L. A. Peletier , W. C. Troy
    English | PDF (True) | 2001 | 347 Pages | ISBN : 0817641106 | 13.8 MB

    The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike. Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and cloud patterns in the sky: patterns are omnipresent in the world around us. Their variety and complexity make them a rich area of study. In the study of these phenomena an important role is played by well-chosen model equations, which are often simpler than the full equations describing the physical or biological system, but still capture its essential features. Through a thorough analysis of these model equations one hopes to glean a better under­ standing of the underlying mechanisms that are responsible for the formation and evolution of complex patterns. Classical model equations have typically been second-order partial differential equations. As an example we mention the widely studied Fisher-Kolmogorov or Allen-Cahn equation, originally proposed in 1937 as a model for the interaction of dispersal and fitness in biological populations. As another example we mention the Burgers equation, proposed in 1939 to study the interaction of diffusion and nonlinear convection in an attempt to understand the phenomenon of turbulence. Both of these are nonlinear second-order diffusion equations.

    Dynamic Equations on Time Scales: An Introduction with Applications

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    Dynamic Equations on Time Scales: An Introduction with Applications

    Dynamic Equations on Time Scales: An Introduction with Applications by Martin Bohner , Allan Peterson
    English | PDF (True) | 2001 | 365 Pages | ISBN : 0817642250 | 22.9 MB

    On becoming familiar with difference equations and their close re­ lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro­ duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for differential equa­ tions and once for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale, which is an arbitrary nonempty closed subset of the reals.

    Optimization Methods and Applications

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    Optimization Methods and Applications

    Optimization Methods and Applications by Xiaoqi Yang, Kok Lay Teo, Lou Caccetta
    English | PDF (True) | 2001 | 439 Pages | ISBN : 0792368665 | 35.3 MB

    This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non­ linear optimization and optimization applications. They are mainly the im­ proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com­ putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti­ mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con­ trol problem.

    State Spaces of Operator Algebras: Basic Theory, Orientations, and C*-products

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    State Spaces of Operator Algebras: Basic Theory, Orientations, and C*-products

    State Spaces of Operator Algebras: Basic Theory, Orientations, and C*-products by Erik M. Alfsen , Frederic W. Shultz
    English | PDF | 2001 | 360 Pages | ISBN : 0817638903 | 41.4 MB

    The topic of this book is the theory of state spaces of operator algebras and their geometry. The states are of interest because they determine representations of the algebra, and its algebraic structure is in an intriguing and fascinating fashion encoded in the geometry of the state space. From the beginning the theory of operator algebras was motivated by applications to physics, but recently it has found unexpected new applica­ tions to various fields of pure mathematics, like foliations and knot theory, and (in the Jordan algebra case) also to Banach manifolds and infinite di­ mensional holomorphy. This makes it a relevant field of study for readers with diverse backgrounds and interests. Therefore this book is not intended solely for specialists in operator algebras, but also for graduate students and mathematicians in other fields who want to learn the subject. We assume that the reader starts out with only the basic knowledge taught in standard graduate courses in real and complex variables, measure theory and functional analysis. We have given complete proofs of basic results on operator algebras, so that no previous knowledge in this field is needed. For discussion of some topics, more advanced prerequisites are needed. Here we have included all necessary definitions and statements of results, but in some cases proofs are referred to standard texts. In those cases we have tried to give references to material that can be read and understood easily in the context of our book.

    Regular and Chaotic Oscillations

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    Regular and Chaotic Oscillations

    Regular and Chaotic Oscillations by Polina S. Landa
    English | PDF (True) | 2001 | 401 Pages | ISBN : 3540410015 | 31.2 MB

    In this book the modern theory of both regular and chaotic nonlinear oscillations is set out, primarily, as applied to mechanical problems. The material is presented in a nontraditional manner with emphasis on the new results of the theory obtained partially by the author, who is one of the leading experts in the area. Among the up-to-date topics are synchronization and chaotization of self-oscillatory systems and the influence of weak random vibrations on the modification of characteristics and behavior of nonlinear systems. One of the purposes of the book is to enable readers to gain a thorough understanding of this theory and to show that it can be very useful in engineering investigations. The primary audience for this book is researchers working with different oscillatory processes and students interested in a thorough study of the general laws and applications of the theory of nonlinear oscillations.