Introduction to the Theory of Kinetic Equations
Author | : Richard L. Liboff |
Publisher | : |
Total Pages | : 424 |
Release | : 1969 |
Genre | : Science |
ISBN | : |
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Author | : Richard L. Liboff |
Publisher | : |
Total Pages | : 424 |
Release | : 1969 |
Genre | : Science |
ISBN | : |
Author | : Gilberto M. Kremer |
Publisher | : Springer Science & Business Media |
Total Pages | : 313 |
Release | : 2010-08-18 |
Genre | : Technology & Engineering |
ISBN | : 3642116965 |
This book covers classical kinetic theory of gases, presenting basic principles in a self-contained framework and from a more rigorous approach based on the Boltzmann equation. Uses methods in kinetic theory for determining the transport coefficients of gases.
Author | : R.L. Liboff |
Publisher | : Springer Science & Business Media |
Total Pages | : 587 |
Release | : 2006-03-30 |
Genre | : Science |
ISBN | : 0387217754 |
This book goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. The third edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.
Author | : Alexander Sinitsyn |
Publisher | : Elsevier |
Total Pages | : 321 |
Release | : 2011-06-17 |
Genre | : Mathematics |
ISBN | : 0123877806 |
Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory. This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance. Reviews the whole field from the beginning to today Includes practical applications Provides classical and modern (semi-analytical) solutions
Author | : Stewart Harris |
Publisher | : Courier Corporation |
Total Pages | : 242 |
Release | : 2012-12-27 |
Genre | : Science |
ISBN | : 0486143821 |
This introductory graduate-level text emphasizes physical aspects of the theory of Boltzmann's equation in a detailed presentation that doubles as a practical resource for professionals. 1971 edition.
Author | : Nicola Bellomo |
Publisher | : Springer Science & Business Media |
Total Pages | : 429 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 1461205131 |
Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneous mediums, is a challenging task for scientists and engineers using traditional methods of analysis. Modeling in Applied Sciences is a comprehensive survey of modeling large systems using kinetic equations, and in particular the Boltzmann equation and its generalizations. An interdisciplinary group of leading authorities carefully develop the foundations of kinetic models and discuss the connections and interactions between model theories, qualitative and computational analysis and real-world applications. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetic-theory modeling process. Topics and Features: * Integrated modeling perspective utilized in all chapters * Fluid dynamics of reacting gases * Self-contained introduction to kinetic models * Becker–Doring equations * Nonlinear kinetic models with chemical reactions * Kinetic traffic-flow models * Models of granular media * Large communication networks * Thorough discussion of numerical simulations of Boltzmann equation This new book is an essential resource for all scientists and engineers who use large-scale computations for studying the dynamics of complex systems of fluids and particles. Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic.
Author | : Richard L. Liboff |
Publisher | : Gordon & Breach Publishing Group |
Total Pages | : 382 |
Release | : 1971 |
Genre | : Science |
ISBN | : |
Papers presented at a symposium held at Cornell University, June, 1969.
Author | : James Jeans |
Publisher | : CUP Archive |
Total Pages | : 324 |
Release | : 1982-10-14 |
Genre | : Science |
ISBN | : 9780521092326 |
This book can be described as a student's edition of the author's Dynamical Theory of Gases. It is written, however, with the needs of the student of physics and physical chemistry in mind, and those parts of which the interest was mainly mathematical have been discarded. This does not mean that the book contains no serious mathematical discussion; the discussion in particular of the distribution law is quite detailed; but in the main the mathematics is concerned with the discussion of particular phenomena rather than with the discussion of fundamentals.
Author | : Anatoly I. Burshtein |
Publisher | : John Wiley & Sons |
Total Pages | : 349 |
Release | : 2008-07-11 |
Genre | : Science |
ISBN | : 3527618120 |
Imparts the similarities and differences between ratified and condensed matter, classical and quantum systems as well as real and ideal gases. Presents the quasi-thermodynamic theory of gas-liquid interface and its application for density profile calculation within the van der Waals theory of surface tension. Uses inductive logic to lead readers from observation and facts to personal interpretation and from specific conclusions to general ones.
Author | : Richard L. Liboff |
Publisher | : Wiley-VCH |
Total Pages | : 584 |
Release | : 1998-02-27 |
Genre | : Science |
ISBN | : |
This updated and expanded edition offers a collective description of all aspects of kinetic theory Kinetic Theory: Classical, Quantum, and Relativistic Descriptions, Second Edition goes beyond the scope of other works in the field with a significantly broader array of applications. This superior reference addresses a wide range of disciplines, including aerospace, mechanical, and chemical engineering; solid state and laser physics; and controlled and astrophysical thermonuclear fusion. Topics covered include: * Entirely new material on kinetic properties of metals and amorphous media. * Exposition and analysis of the Liouville equation. * The Boltzmann equation, fluid dynamics, and irreversibility. * Kinetic equations with applications to plasmas, neutral fluids, and shock waves. * Elements of quantum kinetic theory and the many-body Green's function. * Relativistic kinetic theory--covariant Liouville equation * List of classical and quantum hierarchies of kinetic equations Support materials include problem sets at the end of each chapter, many of which provide self-contained descriptions of closely allied topics. Numerous appendices supply vector formulas and tensor notation, properties of special functions, physical constants, references, and a historical time chart. Kinetic Theory, Second Edition is an indispensable resource for physicists involved in plasma physics, condensed matter, and statistical mechanics; electrical engineers working with laser and solid state devices; and researchers in industry and academia. It is also an excellent text for graduate courses in these and other disciplines.