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˜The œboltzmann equation and its applications / par Cercignani, Carlo. Publication : [S.l.] : Springer, 1987 . 476 p. ; , This book gives a complete exposition of the present status of the theory of the Boltzmann equation and its applications. The Boltzmann equation, an integrodifferential equation established by Boltzmann in 1872 to describe the state of a dilute gas, still forms the basis for the kinetic theory of gases. It has proved fruitful not only for the study of the classical gases Boltzmann had in mind, but also, properly generalized, for electron transport in nuclear reactors, photon transport in superfluids, and radiative transport in planetary and stellar atmospheres. The text presents a unified approach to the problems arising in these different fields, by exploiting similarities whenever they exist and underlining the differences when necessary. But the main exposition is tied to the classical equation established by Boltzmann. Hence the detailed description of applications refers almost exclusively to monatomic neutral gases. Appropiate references are given to papers dealing with similar problems arising in other fields, with particular concern for neutron transport. A unique feature is the detailed consideration of the boundary conditions to be used in connection with the Boltzmann equation. Other topics covered in detail are the derivation of the Boltzmann equation from first principles, the theory of the linearized Boltzmann equation, the use of model equations, and the various regimes of rarefied gas dynamics. In addition to updating the material to 1987, the main improvement over the previous book of the author, "Theory and Application of the Boltzmann equation" is the detailed survey of the use of the techniques of functional analysis in connection with the nonlinear Boltzmann equation, a subject which has greatly progressed in the last ten years. 24 cm. Date : 1987 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

A Gallery of fluid motion / par Samimy,, M. Publication : [S.l.] : Cambridge University Press, 2004 . 128 p. ; , Broché. 30 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Adaptation in dynamical systems par Tyukin, Ivan. Publication : Cambridge | New York Cambridge University Press 2011 . xvii, 410 pages , "In the context of this book, adaptation is taken to mean a feature of a system aimed at achieving the best possible performance, when mathematical models of the environment and the system itself are not fully available. This has applications ranging from theories of visual perception and the processing of information, to the more technical problems of friction compensation and adaptive classification of signals in fixed-weight recurrent neural networks. Largely devoted to the problems of adaptive regulation, tracking and identification, this book presents a unifying system-theoretic view on the problem of adaptation in dynamical systems. Special attention is given to systems with nonlinearly parameterized models of uncertainty. Concepts, methods and algorithms given in the text can be successfully employed in wider areas of science and technology. The detailed examples and background information make this book suitable for a wide range of researchers and graduates in cybernetics, mathematical modelling and neuroscience"-- 26 cm Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Analytical methods for problems of molecular transport / par Ivchenko, I.N. Publication : [S.l.] : Springer, 2007 . 409 p. ; , The Kinetic Theory of Gases has applications in many areas of science and technology as well as in our understandings of many natural processes and phenomena from the nano-scale up to the cosmic-scale. Some of the fields and topics affected include manufacturing, health care, weather, defence, pollution, aerospace science and engineering, and others. In particular, the interactions of rarefied gases with surfaces are of great interest because such interactions can have pronounced effects on the behaviour exhibited by those systems in all of the above fields. Such fundamental things as the transfer of mass, momentum, and energy between the components of a system can be significantly altered by such interactions. Collectively this transfer is typically described in terms of Rarefied Gas Dynamics and Transport Theory which generally go hand-in-hand with the Kinetic Theory of Gases. When this transport involves small particles suspended in a gas such as air, it is typically termed Aerosol Mechanics. Thus, this book should prove to be a very useful tool in virtually all application areas involving the Kinetic Theory of Gases, Rarefied Gas Dynamics, Transport Theory, and Aerosol Mechanics. This book is designed to serve a dual function. It is intended that it be capable of serving as a teaching instrument, either in a classroom environment or independently, for the study of basic analytical methods and mathematical techniques that may be used in the Kinetic Theory of Gases and is primarily suitable for use in graduate level physics and engineering courses on the subject. This book should also prove to be useful as a reference for scientists and engineers working in the fields of Rarefied Gas Dynamics and Aerosol Mechanics. In addition, the material in this book may prove to be of interest to individuals working in such areas as Physical Chemistry, Chemical Engineering, or any other applied discipline in which gas-surface interactions can be expected to play a significant role. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Chaos, scattering and statistical mechanics / par Gaspard,, Pierre. Publication : [S.l.] : Cambridge University Press, 2005 . 496 p. ; , BrochØ. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Chaotic vibrations : an introduction for applied scientists and engineers / par Moon,, Francis C. Publication : [S.l.] : Wiley-Interscience, 2004 . 309 p. ; , The book that brings order to chaos Fifteen years ago, Francis MoonЀ™s Chaotic Vibrations introduced, in practical language, the new ideas of nonlinear dynamics and chaos. Since then, the field has grown tremendously, and "chaos" has entered the vocabulary of not only physicists and mathematicians but also the general public. Researchers in nonlinear dynamics have broadened their scope to investigate ideas of complexity in natural and human-made systems, including networks in the brain, electric energy grids, and the Internet. With this paperback reissue of Professor MoonЀ™s classic, we hope to interest a new generation of readers intrigued by unpredictability in the laws of physics and its manifestation in the physical world in the form of chaotic dynamics. Written for engineers and applied scientists, Chaotic Vibrations gives specific examples and applications of chaotic dynamics in the physical world. It also describes how to perform both computer and physical experiments in chaotic dynamics. Topics covered include: Poincar‘̂ maps Fractal dimensions Lyapunov exponents Experiments in chaos Chaos in engineering Similar in its broad scope to James GleickЀ™s Chaos, only geared to a more technically curious reader, Chaotic Vibrations features an extensive guide to the literature, especially as it relates to more mathematically-oriented works; a glossary of nonlinear dynamics terms; a list of computer experiments; and details for a demonstration experiment on chaotic vibrations. This handy paperback version of Chaotic Vibrations arms engineers and researchers with the new tools of dynamical systems and prepares them to make their own contributions to this exciting and rapidly developing field. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Classical mathematical physics : dynamical systems and field theories / par Thirring,, Walter. Publication : New York ; | Berlin ; | Heidelberg ; | Hong Kong ; | London ; | Milan ; | Paris ; | Tokyo : Springer, 2003 . XXVIII, 543 S. : , Literaturverz. S. 529 - 538. 24 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Essentials of Hamiltonian dynamics par Lowenstein, John H., Publication : Cambridge | New York Cambridge University Press 2012 . xiii, 188 pages , "Classical dynamics is one of the cornerstones of advanced education in physics and applied mathematics, with applications across engineering, chemistry, and biology. In this book, the author uses a concise and pedagogical style to cover all the topics necessary for a graduate-level course in dynamics based on Hamiltonian methods. Readers are introduced to the impressive advances in the field during the second half of the twentieth-century, including KAM theory and deterministic chaos. Essential to these developments are some exciting ideas from modern mathematics, which are introduced carefully and selectively. Core concepts and techniques are discussed, together with numerous concrete examples to illustrate key principles"-- 26 cm. Date : 2012 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Fluid flow phenomena : a numerical toolkit / par Orlandi, Paolo. Publication : [S.l.] : Springer, 2001 . 376 p. ; , This book deals with the simulation of the incompressible Navier-Stokes equations for laminar and turbulent flows. The book is limited to explaining and employing the finite difference method. It furnishes a large number of source codes which permit to play with the Navier-Stokes equations and to understand the complex physics related to fluid mechanics. Numerical simulations are useful tools to understand the complexity of the flows, which often is difficult to derive from laboratory experiments. This book, then, can be very useful to scholars doing laboratory experiments, since they often do not have extra time to study the large variety of numerical methods; furthermore they cannot spend more time in transferring one of the methods into a computer language. By means of numerical simulations, for example, insights into the vorticity field can be obtained which are difficult to obtain by measurements. This book can be used by graduate as well as undergraduate students while reading books on theoretical fluid mechanics; it teaches how to simulate the dynamics of flow fields on personal computers. This will provide a better way of understanding the theory. Two chapters on Large Eddy Simulations have been included, since this is a methodology that in the near future will allow more universal turbulence models for practical applications. The direct simulation of the Navier-Stokes equations (DNS) is simple by finite-differences, that are satisfactory to reproduce the dynamics of turbulent flows. A large part of the book is devoted to the study of homogeneous and wall turbulent flows. In the second chapter the elementary concept of finite difference is given to solve parabolic and elliptical partial differential equations. In successive chapters the 1D, 2D, and 3D Navier-Stokes equations are solved in Cartesian and cylindrical coordinates. Finally, Large Eddy Simulations are performed to check the importance of the subgrid scale models. Results for turbulent and laminar flows are discussed, with particular emphasis on vortex dynamics. This volume will be of interest to graduate students and researchers wanting to compare experiments and numerical simulations, and to workers in the mechanical and aeronautic industries. 24 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Fluid mechanics and thermodynamics of turbomachinery, fifth edition / par Ph.D.,, S.L. Dixon B.Eng. Publication : [S.l.] : Butterworth-Heinemann, 2005 . 412 p. ; , The fifth edition of this text will continue to be of use to engineers in industry and technological establishments, especially as brief reviews are included on many important aspects of Turbomachinery, giving pointers towards more advanced sources of information. For those looking towards the wider reaches of the subject area, very useful additional reading is referenced in the bibliography. The subject of Turbomachinery is in continual review, and while the basics do not change, research can lead to refinements in popular methods, and new data can emerge. This book has applications for professionals and students in many subsets of the mechanical engineering discipline, with carryover into thermal sciences; which include fluid mechanics, combustion and heat transfer; dynamics and vibrations, as well as structural mechanics and materials engineering. * An important, long overdue new chapter on Wind Turbines, with a focus on blade aerodynamics, with useful worked examples * Includes important material on axial flow compressors and pumps * Example questions and answers throughout and an available Solutions Manual. 23 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Fundamentals of multiphase flow / par Brennen Christopher., E., Publication : [S.l.] : Cambridge University Press, 2005 . 368 p. ; , This book is targeted to graduate students and researchers at the cutting edge of investigations into the fundamental nature of multiphase flows. It is intended as a reference book for the basic methods used in the treatment of multiphase flows. The subject of multiphase flows encompasses a vast field whose broad spectrum presents a problem for the experimental and analytical methodologies that might be appropriate for the reader's interests. The aim of Fundamentals of Multiphase Flow is to bring much of this fundamental understanding together into one book, presenting a unifying approach to the fundamental ideas of multiphase flows. The book summarizes those fundamental concepts with relevance to a broad spectrum of multiphase flows. It does not pretend to present a comprehensive review of the details of any one multiphase flow or technological context; references to such reviews are included where appropriate. 26 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Heat and mass transfer / par Baehr, Hans D. Publication : [S.l.] : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2006 . 22 p. ; , Relié. 25 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Introduction to surface and superlattice excitations, second edition / par Cottam,, Michael .G. Publication : [S.l.] : Taylor & Francis, 2004 . 516 p. ; , Cottam and Tilley provide an introduction to the properties of wave-like excitations associated with surfaces and interfaces. The emphasis is on acoustic, optic and magnetic excitations, and apart from one section on liquid surfaces, the text concentrates on solids. The important topic of superlattices is also discussed, in which the different kinds of excitation are considered from a unified point of view. Throughout the book, the authors are careful to relate theory and experiment and all of the most important experimental techniques are described. The theoretical treatment assumes only a knowledge of undergraduate physics, except for Green function methods that are used in a few sections; these methods are developed in an appendix. The book also contains extensive references, enabling the reader to consult the research and review literature. Each of the main chapters contains problems to allow the reader to develop topics presented in the text. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Lagrangian transport in geophysical jets and waves : the dynamical systems approach / par Samelson, Roger M. Publication : [S.l.] : Springer-Verlag New York Inc., 2006 . 150 p. ; , ReliØ. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Models of high energy processes par Polkinghorne, J. C. Publication : Cambridge Cambridge University Press 2010 . pages , Originally published: 1980. cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Modélisation asymptotique en Mécanique des fluides newtoniens / par Zeytounian, Radyadour Kh. Publication : [S.l.] : Springer, 1994 . 226 p. ; , Broché. 24 cm. Date : 1994 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Non-linear theory of elasticity and optimal design / par Ratner,, L.W. Publication : [S.l.] : Elsevier Science, 2003 . 279 p. ; , In order to select an optimal structure among possible similar structures, one needs to compare the elastic behavior of the structures. A new criterion that describes elastic behavior is the rate of change of deformation. Using this criterion, the safe dimensions of a structure that are required by the stress distributed in a structure can be calculated. The new non-linear theory of elasticity allows one to determine the actual individual limit of elasticity/failure of a structure using a simple non-destructive method of measurement of deformation on the model of a structure while presently it can be done only with a destructive test for each structure. For building and explaining the theory, a new logical structure was introduced as the basis of the theory. One of the important physical implications of this logic is that it describes mathematically the universal domain of the possible stable physical relations. 23 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Non-perturbative field theory from two-dimensional conformal field theory to QCD in four dimensions par Frishman, Yitzhak, Publication : Cambridge, UK | New York Cambridge University Press 2010 . xvii, 436 pages 26 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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