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Theorie Cinetique Des Gaz A Repartition Discrete De Vitesses
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Book Synopsis Discrete Kinetic Theory, Lattice Gas Dynamics And Foundations Of Hydrodynamics - Proceedings Of The Workshop by : Roberto Monaco
Download or read book Discrete Kinetic Theory, Lattice Gas Dynamics And Foundations Of Hydrodynamics - Proceedings Of The Workshop written by Roberto Monaco and published by World Scientific. This book was released on 1989-04-01 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings will concentrate, with the aim of presenting the most recent results, on the relevant problems in the mathematics and physics of the discrete kinetic theory, lattice gas dynamics and foundations of hydrodynamics. In particular the following three fields will be covered: (i) Mathematical models and applications in discrete kinetic theory; (ii) Lattice gas in two and three dimensions; (iii) Hydrodynamic limit and foundations of fluidodynamics.
Book Synopsis Lecture Notes On The Discretization Of The Boltzmann Equation by : Nicola Bellomo
Download or read book Lecture Notes On The Discretization Of The Boltzmann Equation written by Nicola Bellomo and published by World Scientific. This book was released on 2003-01-24 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of ten chapters. Each chapter is written by applied mathematicians who have been active in the field, and whose scientific contributions are well recognized by the scientific community.
Book Synopsis Discrete Models Of Fluid Dynamics by : A S Alves
Download or read book Discrete Models Of Fluid Dynamics written by A S Alves and published by World Scientific. This book was released on 1991-04-30 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments of discrete methods of fluid dynamics, particularly the two most relevant aspects: the “half” discrete case — discrete Boltzmann equation; and the “totally” discrete one — lattice gas were discussed. Both the conceptual and numerical significance of these discrete models were covered as well as the mathematical problems which arise from them. This Colloquium is the third of a series initiated in Santa Fe (USA 1986) the second having taken place in Torino (Italy 1988).
Book Synopsis Advances in Kinetic Theory and Continuum Mechanics by : Renee Gatignol
Download or read book Advances in Kinetic Theory and Continuum Mechanics written by Renee Gatignol and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the symposium held on Friday 6 July 1990 at the University Pierre et Marie Curie (Paris VI), France, in honor of Professor Henri Cabannes on the occasion of his retirement. There were about one hundred participants from nine countries: Canada, France, Germany, Italy, Japan, Norway, Portugal, the Netherlands, and the USA. Many of his past students or his colleagues were among the participants. The twenty-six papers in this volume are written versions submitted by the authors and cover almost all the fields in which Professor Cabannes has actively worked for more than forty-five years. The papers are presented in four chapters: classical kinetic theory and fluid dynamics, discrete kinetic theory, applied fluid mechanics, and continuum mechanics. The editors would like to take this opportunity to thank the generous spon sors of the symposium: the University Pierre et Marie Curie, Commissariat a l'Energie Atomique (especially Academician R. Dautray and Dr. N. Camarcat) and Direction des Recherches et Etudes Techniques (especially Professor P. Lallemand). Many thanks are also due to all the participants for making the symposium a success. Finally, we thank Professor W. Beiglbock and his team at Springer-Verlag for producing this volume.
Book Synopsis Landau Equation, Boltzmann-type Equations, Discrete Models, and Numerical Methods by : Alexander V. Bobylev
Download or read book Landau Equation, Boltzmann-type Equations, Discrete Models, and Numerical Methods written by Alexander V. Bobylev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-09-23 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume monograph is a comprehensive and up-to-date presentation of the theory and applications of kinetic equations. The second volume covers discrete velocity models of the Boltzmann equation, results on the Landau equation, and numerical (deterministic and stochastic) methods for the solution of kinetic equations.
Book Synopsis Lecture Notes On Mathematical Theory Of The Boltzmann Equation by : Nicola Bellomo
Download or read book Lecture Notes On Mathematical Theory Of The Boltzmann Equation written by Nicola Bellomo and published by World Scientific. This book was released on 1995-08-31 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.
Book Synopsis Lattice Gas Methods For Partial Differential Equations by : Gary Doolen
Download or read book Lattice Gas Methods For Partial Differential Equations written by Gary Doolen and published by CRC Press. This book was released on 2019-03-01 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the idea of using discrete methods for modeling partial differential equations occurred very early, the actual statement that cellular automata techniques can approximate the solutions of hydrodynamic partial differential equations was first discovered by Frisch, Hasslacher, and Pomeau. Their description of the derivation, which assumes the validity of the Boltzmann equation, appeared in the Physical Review Letters in April 1986. It is the intent of this book to provide some overview of the directions that lattice gas research has taken from 1986 to early 1989.
Book Synopsis Mathematical Modeling, Simulation, Visualization and e-Learning by : Dialla Konaté
Download or read book Mathematical Modeling, Simulation, Visualization and e-Learning written by Dialla Konaté and published by Springer Science & Business Media. This book was released on 2007-12-08 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features articles written by some of the most prominent leading applied mathematicians as well as young and promising ones. The common objective of these articles is to present an important issue which is currently widely discussed in scientific investigation with major human, economic or ecological implications. Each article is as deep as an expert lecture but is also self-contained, so that even isolated scientists with limited resources can profit greatly from it.
Book Synopsis Asymptotic Methods and Singular Perturbations by : Robert E. O'Malley
Download or read book Asymptotic Methods and Singular Perturbations written by Robert E. O'Malley and published by American Mathematical Soc.. This book was released on 1976 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cellular Automata and Modeling of Complex Physical Systems by : Paul Manneville
Download or read book Cellular Automata and Modeling of Complex Physical Systems written by Paul Manneville and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cellular automata are fully discrete dynamical systems with dynamical variables defined at the nodes of a lattice and taking values in a finite set. Application of a local transition rule at each lattice site generates the dynamics. The interpretation of systems with a large number of degrees of freedom in terms of lattice gases has received considerable attention recently due to the many applications of this approach, e.g. for simulating fluid flows under nearly realistic conditions, for modeling complex microscopic natural phenomena such as diffusion-reaction or catalysis, and for analysis of pattern-forming systems. The discussion in this book covers aspects of cellular automata theory related to general problems of information theory and statistical physics, lattice gas theory, direct applications, problems arising in the modeling of microscopic physical processes, complex macroscopic behavior (mostly in connection with turbulence), and the design of special-purpose computers.
Book Synopsis The Lattice Boltzmann Equation by : S. Succi
Download or read book The Lattice Boltzmann Equation written by S. Succi and published by Oxford University Press. This book was released on 2001-06-28 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1995 with total page 1208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cellular Automata by : Andrew Ilachinski
Download or read book Cellular Automata written by Andrew Ilachinski and published by World Scientific. This book was released on 2001 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cellular automata are a class of spatially and temporally discrete mathematical systems characterized by local interaction and synchronous dynamical evolution. Introduced by the mathematician John von Neumann in the 1950s as simple models of biological self-reproduction, they are prototypical models for complex systems and processes consisting of a large number of simple, homogeneous, locally interacting components. Cellular automata have been the focus of great attention over the years because of their ability to generate a rich spectrum of very complex patterns of behavior out of sets of relatively simple underlying rules. Moreover, they appear to capture many essential features of complex self-organizing cooperative behavior observed in real systems.This book provides a summary of the basic properties of cellular automata, and explores in depth many important cellular-automata-related research areas, including artificial life, chaos, emergence, fractals, nonlinear dynamics, and self-organization. It also presents a broad review of the speculative proposition that cellular automata may eventually prove to be theoretical harbingers of a fundamentally new information-based, discrete physics. Designed to be accessible at the junior/senior undergraduate level and above, the book will be of interest to all students, researchers, and professionals wanting to learn about order, chaos, and the emergence of complexity. It contains an extensive bibliography and provides a listing of cellular automata resources available on the World Wide Web.
Book Synopsis Théories Cinétiques Classiques Et Relativistes by :
Download or read book Théories Cinétiques Classiques Et Relativistes written by and published by . This book was released on 1975 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models by : Nicola Bellomo
Download or read book Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models written by Nicola Bellomo and published by World Scientific. This book was released on 2000-01-11 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the idea that Boltzmann-like modelling methods can be developed to design, with special attention to applied sciences, kinetic-type models which are called generalized kinetic models. In particular, these models appear in evolution equations for the statistical distribution over the physical state of each individual of a large population. The evolution is determined both by interactions among individuals and by external actions.Considering that generalized kinetic models can play an important role in dealing with several interesting systems in applied sciences, the book provides a unified presentation of this topic with direct reference to modelling, mathematical statement of problems, qualitative and computational analysis, and applications. Models reported and proposed in the book refer to several fields of natural, applied and technological sciences. In particular, the following classes of models are discussed: population dynamics and socio-economic behaviours, models of aggregation and fragmentation phenomena, models of biology and immunology, traffic flow models, models of mixtures and particles undergoing classic and dissipative interactions.
Book Synopsis Polystochastic Models in Chemical Engineering by : Octavian Iordache
Download or read book Polystochastic Models in Chemical Engineering written by Octavian Iordache and published by VSP. This book was released on 1987 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polystochastic models describe systems whose mode of evolution varies randomly according to the rule given by a hierarchy of conditioning processes. The author discusses the models used for random flow, the dynamics of dispersed systems, real flow and turbulent mixing. Attention is focussed on the fundamental role played by polystochastic models in chemical engineering. The author also draws attention to other areas of application such as the optimization of stochastic systems, dynamic programming and decision sciences, adaptive systems, communications and biophysics.
Book Synopsis The Lattice Boltzmann Equation by : Sauro Succi
Download or read book The Lattice Boltzmann Equation written by Sauro Succi and published by Oxford University Press. This book was released on 2018 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook to Lattice Boltzmann methods in computational fluid dynamics, aimed at a broad audience of scientists working with flowing matter. LB has known a burgeoning growth of applications, especially in connection with the simulation of complex flows, and also on the methodological side.