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Numerical simulation in molecular dynamics : numerics, algorithms, parallelization, applications / par Griebel, Michael, Publication : Berlin : Springer, 2007 . xi, 470 pages : 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

One- and two-dimensional fluids properties of smectic, lamellar and columnar liquid crystals par Jákli, A. Publication : New York Taylor and Francis 2006 . 339 pages 25 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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),

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),

Particle accelerator physics par Wiedemann, Helmut. Publication : [S.l.] Springer 2007 . 976 p. , This book provides an in-depth and comprehensive introduction to the field of high-energy particle acceleration and beam dynamics. This is the first modern and comprehensive textbook in the field. It begins by gathering the basic tools, recalling the essentials of electrostatics and electrodynamics as well as of particle dynamics in electromagnetic fields. It includes coverage of advanced topics of coupled beam dynamics. There is an exhaustive treatment of radiation from accelerated charges. Appendices gather useful mathematical and physical formulae, parameters and units, and solutions to the many end-of-chapter problems are given. 25 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Perspectives of nonlinear dynamics par Jackson, E. Atlee Publication : Cambridge [Cambridgeshire] New York | Cambridge University Press 1989 . 2 volumesill. 26 cm. Date : 1989 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Perturbation of spectra in hilbert space par Friedrichs, K. O. Publication : [S.l.] American Mathematical Society 2008 . 178 p. , The mathematics of the quantum theory of fields has been a continuing puzzle to mathematicians and physicists for many decades. Perturbation theory remains an important element of quantum mechanics. Computationally, it is one of the most successful methods available. However, various features of field theory produce difficulties with the perturbative approach. Here, Friedrichs assumes certain smoothness of the interaction Hamiltonian, which eliminates divergence of the terms in the perturbation expansion, but, as a consequence, forces him to give up the possibility of a local Lorentz-invariant interaction. In this book based on his 1960 lectures in Boulder, Friedrichs looks at some of the unresolved mathematical questions in the quantum field theory of the time, with an emphasis on problems coming from perturbation theory. The lectures begin with an introduction to perturbation theory of discrete and continuous spectra and the theory of scattering. These methods are then applied to perturbations by annihilation and creation operators. Each of the three chapters has a corresponding appendix, where Friedrichs discusses some alternative approaches and additional material relating to the main text. 25 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Polaritons in periodic and quasiperiodic structures par Albuquerque, Eudenilson L. Publication : Amsterdam, Netherlands | San Diego, CA Elsevier 2004 . xiii, 344 pages Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum chromodynamics on the lattice an introductory presentation par Gattringer, C. Publication : Heidelberg | New York Springer 2010 . xv, 343 pages 24 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2),

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),

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),

Spectral methods in quantum field theory par Graham,, Noah. Publication : [S.l.] Springer 2009 . 193 p. , This concise text introduces techniques from quantum mechanics, especially scattering theory, to compute the effects of an external background on a quantum field in general, and on the properties of the quantum vacuum in particular. This approach can be successfully used in an increasingly large number of situations, ranging from the study of solitons in field theory and cosmology to the determination of Casimir forces in nano-technology. The method introduced and applied in this book is shown to give an unambiguous connection to perturbation theory, implementing standard renormalization conditions even for non-perturbative backgrounds. It both gives new theoretical insights, for example illuminating longstanding questions regarding Casimir stresses, and also provides an efficient analytic and numerical tool well suited to practical calculations. Last but not least, it elucidates in a concrete context many of the subtleties of quantum field theory, such as divergences, regularization and renormalization, by connecting them to more familiar results in quantum mechanics. While addressed primarily at young researchers entering the field and nonspecialist researchers with backgrounds in theoretical and mathematical physics, introductory chapters on the theoretical aspects of the method make the book self-contained and thus suitable for advanced graduate students. 25 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Spectral/hp element methods for computational fluid dynamics par Karniadakis, George Em Publication : New York Oxford University Press 2005 . 657 p. , Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more limited. More recently the need to find accurate solutions to the viscous flow equations around complex configurations has led to the development of high-order discretization procedures on unstructured meshes, which are also recognized as more efficient for solution of time-dependent oscillatory solutions over long time periods. Here Karniadakis and Sherwin present a much-updated and expanded version of their successful first edition covering the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Containing over 50% new material, including discontinuous Galerkin methods, non-tensorial nodal spectral element methods in simplex domains, and stabilization and filtering techniques, this text aims to introduce a wider audience to the use of spectral/hp element methods with particular emphasis on their application to unstructured meshes. It provides a detailed explanation of the key concepts underlying the methods along with practical examples of their derivation and application, and is aimed at students, academics and practitioners in computational fluid mechanics, applied and numerical mathematics, computational mechanics, aerospace and mechanical engineering and climate/ocean modelling. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

The Hamilton-type principle in fluid dynamics Fundamentals and applications to magnetohydrodynamics, thermodynamics, and astrophysics par Palacios, Angel Fierros Publication : Wien | New York Springer 2006 . xxv, 404 pages 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

The relativistic boltzmann equation : theory and applications par Cercignani, Carlo. Publication : [S.l.] Birkhäuser Basel 2002 . 394 p. , The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation. 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Travelling waves and periodic oscillations in fermi-pasta-ulam lattices par Pankov,, Alexander. Publication : [S.l.] World Scientific Publishing Compan 2005 . 212 p. , This is a unique book that presents rigorous mathematical results on Fermi-Pasta-Ulam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc. It considers travelling waves and time periodic oscillations in infinite Fermi-Pasta-Ulam lattices, which are not necessarily spatially homogenous. Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed. The book is self-contained and includes a number of open problems, making it suitable for use in a course for graduate students. 23 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Turbulence and shell models par Ditlevsen, Peter D. Publication : Cambridge, UK | New York Cambridge University Press 2011 . x, 152 pages , "Turbulence is a huge subject of ongoing research. This book bridges the modern development in dynamical systems theory and the theory of fully developed turbulence. Many solved and unsolved problems in turbulence have equivalencies in simple dynamical models, which are much easier to handle analytically and numerically. This book gives a modern view of the subject by first giving the essentials of the theory of turbulence before moving on to shell models. These show much of the same complex behaviour as fluid turbulence, but are much easier to handle analytically and numerically. Any necessary maths is explained and self-contained, making this book ideal for advanced undergraduates and graduate students, as well as researchers and professionals, wanting to understand the basics of fully developed turbulence"--Provided by publisher. 26 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Turbulent particle-laden gas flows par Varaksin, Aleksei Y. Publication : [S.l.] Springer 2007 . 194 p. , Results are given of experimental and theoretical studies of "gas-solid particles" turbulent two-phase flows. Special emphasis is placed on studies of the behavior of particles suspended in a turbulent gas flow and their feedback effect on the characteristics of flow of the carrier phase. The characteristics of heterogeneous flows in channels (pipes) are analyzed, as well as those in the vicinity of the critical points of bodies subjected to flow and in the boundary layer developing on their surface. Problems of physical simulation of turbulent gas flows which carry solid particles are treated in detail. This monograph will be useful for researchers involved in investigations of gas dynamics and heat and mass transfer in multiphase flows, as well as for university professors, post-graduate students, and students. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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