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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),

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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),

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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),

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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),

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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),

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Critical excitation methods in earthquake engineering / par Takewaki,, Izuru. Publication : [S.l.] : Elsevier Science, 2007 . 296 p. ; , Since the occurrence of earthquakes and their properties are very uncertain even with the present knowledge, it is too difficult to define reasonable design ground motions especially for important buildings. In the seismic resistant design of building structures, the concept of 'performance-based design' has become a new paradigm guaranteeing the maximum satisfaction of building owners. The quality and reliability of the performance-based design certainly depend on the scientific rationality of design ground motions. In order to overcome this problem, a new paradigm has to be posed. To the author's knowledge, the concept of 'critical excitation' and the structural design based upon this concept can become one of such new paradigms. This book introduces a new probabilistic and energy-based critical excitation approach to overcome several problems in the scientific and rational modelling of ground motions. The author hopes that this book will help the development of new seismic-resistant design methods of buildings for such unpredicted or unpredictable ground motions. - First comprehensive book for critical excitation methods - Including updated, cutting-edge research - Applicable to other worst-case analysis problems - Including comprehensive review of critical excitation methods - Including verification by comprehensive recorded ground motions. 25 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Dynamics of viscous compressible fluids / par Feireisl,, Eduard. Publication : [S.l.] : Oxford University Press, USA, 2004 . 224 p. ; , The book develops the most recent ideas and concepts of the mathematical theory of viscous, compressible and heat conducting fluids. Two main goals are pursued: (I) global existence theory within the framework of variational (weak) solutions for the full system of the Navier-Stokes equations supplemented with large data; and (II) optimal existence results for the barotropic flows with respect to the available a priori estimates. The book is intended to be a compact and self-contained presentation of the most recent results of the mathematical theory of viscous compressible fluids. In order to place the text in better perspective, each chapter is concluded with a section devoted to historical notes including references to all-important and new results. The material is by no means intended to be the last word on the subject but rather to include possible directions of future research. It is aimed at research mathematicians, theoretical physicists, engineers and graduate students. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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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),

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Hydrodynamics / par F.R.S.,, Sir Horace Lamb M.A. LL.D. Sc.D. Publication : [S.l.] : Cambridge University Press, 1993 . 768 p. ; , This reissue of the classic 1932 edition of Lamb's Hydrodynamics is an indication of the lasting value of the work. Constantly in use since its first publication in 1892, this book is the definitive reference work for all fluid dynamicists. The new foreword by Professor R. Caflisch highlights the prominence of this treatise in the field and outlines the development of fluid mechanics that led to its publication. He also resolves possible conflicts with modern notation. Despite the rapid pace of research in modern fluid mechanics study and the advent of high-speed computers, Lamb's work remains a relevant, timeless classic. 24 cm. Date : 1993 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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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),

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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),

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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),

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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),

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Operator approach in linear problems of hydrodynamics par Kopachevsky,, Nikolay D. Publication : [S.l.] Birkhäuser Basel 2001 . 384 p. , This is the first volume of a set of two devoted to the operator approach to linear problems in hydrodynamics. It presents functional analytical methods applied to the study of small movements and normal oscillations of hydromechanical systems having cavities filled with either ideal or viscous fluids. The work is a sequel to and at the same time substantially extends the volume "Operator Methods in Linear Hydrodynamics: Evolution and Spectral Problems" by N.D. Kopachevsky, S.G. Krein and Ngo Zuy Kan, published in 1989 by Nauka in Moscow. It includes several new problems on the oscillations of partially dissipative hydrosystems and the oscillations of visco-elastic or relaxing fluids. The work relies on the authors' and their students' works of the last 30-40 years. The readers are not supposed to be familiar with the methods of functional analysis. In the first part of the present volume, the main facts of linear operator theory relevant to linearized problems of hydrodynamics are summarized, including elements of the theories of distributions, self-adjoint operators in Hilbert spaces and in spaces with an indefinite metric, evolution equations and asymptotic methods for their solutions, the spectral theory of operator pencils. The book is particularly useful for researchers, engineers and students in fluid mechanics and mathematics interested in operator theoretical methods for the analysis of hydrodynamical problems. 24 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), La bibliothèque des Sciences Exactes et Naturelles (1),

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P-adic deterministic and random dynamics / par Khrennikov,, Andrei Y. Publication : [S.l.] : Springer, 2004 . 270 p. ; , This is the first monograph in the theory of p-adic (and more general non-Archimedean) dynamical systems. The theory of such systems is a new intensively developing discipline on the boundary between the theory of dynamical systems, theoretical physics, number theory, algebraic geometry and non-Archimedean analysis. Investigations on p-adic dynamical systems are motivated by physical applications (p-adic string theory, p-adic quantum mechanics and field theory, spin glasses) as well as natural inclination of mathematicians to generalize any theory as much as possible (e.g., to consider dynamics not only in the fields of real and complex numbers, but also in the fields of p-adic numbers). The main part of the book is devoted to discrete dynamical systems: cyclic behavior (especially when p goes to infinity), ergodicity, fuzzy cycles, dynamics in algebraic extensions, conjugate maps, small denominators. There are also studied p-adic random dynamical system, especially Markovian behavior (depending on p). In 1997 one of the authors proposed to apply p-adic dynamical systems for modeling of cognitive processes. In applications to cognitive science the crucial role is played not by the algebraic structure of fields of p-adic numbers, but by their tree-like hierarchical structures. In this book there is presented a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. There are also studied p-adic neural network and their applications to cognitive sciences: learning algorithms, memory recalling. Finally, there are considered wavelets on general ultrametric spaces, developed corresponding calculus of pseudo-differential operators and considered cognitive applications. Audience: This book will be of interest to mathematicians working in the theory of dynamical systems, number theory, algebraic geometry, non-Archimedean analysis as well as general functional analysis, theory of pseudo-differential operators; physicists working in string theory, quantum mechanics, field theory, spin glasses; psychologists and other scientists working in cognitive sciences and even mathematically oriented philosophers. 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Relativistic numerical hydrodynamics / par Wilson,, James R. Publication : [S.l.] : Cambridge University Press, 2003 . 232 p. ; , Calculations of relativistic hydrodynamics are crucial to several areas of current research in the physics of supernovae and stellar collapse. This book provides an overview of the computational framework in which such calculations have been developed, with examples of applications to real physical systems. Beginning with the development of the equations and differencing schemes for special relativistic hydrodynamics, the book stresses the viability of the Euler-Lagrange approach to most astrophysical problems. It details aspects of solving the Einstein equations together with the fluid dynamics for various astrophysical systems in one, two and three dimensions. 25 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Sediment transport : a geophysical phenomenon par Gyr, Albert. Publication : [S.l.] Springer 2006 . 283 p. , This textbook discusses the fundamental principles of sediment transport in the geophysical context of rivers and is intended as both a course textbook and as a guide for the practical engineer. We begin by describing phenomena such as bed load and suspension transport from a classical perspective by applying the mean wall shear stress approach while additionally incorporating a statistical description of the inherent wall shear stress fluctuations. Concepts from turbulent flow regime are introduced to address the limitations of the classical approach to various aspects of sediment transport, such as for example, the Newtonian description of dense suspensions, or the description of the self-organization processes for developing bed forms, or the prediction of transport in very rough bed conditions. In this context coherent structures and flow separation mechanisms are developed as important new elements, which allow using topological rules for the formulation of transport especially for developing bed forms. Since the most up-to-date research findings in the field are presented, this book serves as both a support in the formulation of academic research programs, and as a practical text for engineers seeking to simulate complex problems or special aspects of sediment transport. This book will therefore be of interest and of use to both students and to the professional scientist. 25 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Viscosity of liquids / par Viswanath, Dabir S. Publication : [S.l.] : Springer, 2007 . 676 p. ; , This book is unique in that it brings together published viscosity data, experimental methods, theoretical, correlation and predictive procedures in a single volume. The - readers will get a better understanding of why various methods are used for measuring viscosity of different types of liquids and why an experimental method is dependent on fluid characteristics, such as Newtonian or non-Newtonian fluids. Undergraduate and graduate students in any science and engineering disciplines will find this book very useful. It is an excellent reference book for chemical engineers, mechanical engineers, and food engineers. Any researchers associated with chemical synthesis, process development, fluid flow, the petroleum industry, the chemical - industry or commercial enterprises will benefit significantly from this book. It is also recommended for design, professional, and practising engineers. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Wave propagation and time reversal in randomly layered media / par Fouque, Jean-Pierre. Publication : [S.l.] : Springer, 2007 . 612 p. ; , Wave propagation in random media is an interdisciplinary field that has emerged from the need in physics and engineering to model and analyze wave energy transport in complex environments. This book gives a systematic and self-contained presentation of wave propagation in randomly layered media using the asymptotic theory of ordinary differential equations with random coefficients. The first half of the book gives a detailed treatment of wave reflection and transmission in one-dimensional random media, after introducing gradually the tools from partial differential equations and probability theory that are needed for the analysis. The second half of the book presents wave propagation in three-dimensional randomly layered media along with several applications, primarily involving time reversal. Many new results are presented here for the first time. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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