The Mathematical Theory Of Dilute Gases

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The Mathematical Theory of Dilute Gases

Author : Carlo Cercignani
Publisher : Springer Science & Business Media
ISBN 13 : 1441985247
Total Pages : 357 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis The Mathematical Theory of Dilute Gases by : Carlo Cercignani

Download or read book The Mathematical Theory of Dilute Gases written by Carlo Cercignani and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea for this book was conceived by the authors some time in 1988, and a first outline of the manuscript was drawn up during a summer school on mathematical physics held in Ravello in September 1988, where all three of us were present as lecturers or organizers. The project was in some sense inherited from our friend Marvin Shinbrot, who had planned a book about recent progress for the Boltzmann equation, but, due to his untimely death in 1987, never got to do it. When we drew up the first outline, we could not anticipate how long the actual writing would stretch out. Our ambitions were high: We wanted to cover the modern mathematical theory of the Boltzmann equation, with rigorous proofs, in a complete and readable volume. As the years progressed, we withdrew to some degree from this first ambition- there was just too much material, too scattered, sometimes incomplete, sometimes not rigor ous enough. However, in the writing process itself, the need for the book became ever more apparent. The last twenty years have seen an amazing number of significant results in the field, many of them published in incom plete form, sometimes in obscure places, and sometimes without technical details. We made it our objective to collect these results, classify them, and present them as best we could. The choice of topics remains, of course, subjective.

The Mathematical Theory of Dilute Gases

Author : Carlo Cercignani
Publisher :
ISBN 13 : 9781441985255
Total Pages : 360 pages
Book Rating : 4.9/5 (852 download)

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Book Synopsis The Mathematical Theory of Dilute Gases by : Carlo Cercignani

Download or read book The Mathematical Theory of Dilute Gases written by Carlo Cercignani and published by . This book was released on 2014-09-01 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Theory of Non-uniform Gases

Author : Sydney Chapman
Publisher : Cambridge University Press
ISBN 13 : 9780521408448
Total Pages : 452 pages
Book Rating : 4.4/5 (84 download)

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Book Synopsis The Mathematical Theory of Non-uniform Gases by : Sydney Chapman

Download or read book The Mathematical Theory of Non-uniform Gases written by Sydney Chapman and published by Cambridge University Press. This book was released on 1990 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book, now reissued in paperback, presents a detailed account of the mathematical theory of viscosity, thermal conduction, and diffusion in non-uniform gases based on the solution of the Maxwell-Boltzmann equations. The theory of Chapman and Enskog, describing work on dense gases, quantum theory of collisions, and the theory of conduction and diffusion in ionized gases in the presence of electric and magnetic fields is also included in the later chapters. This reprint of the third edition, first published in 1970, includes revisions that take account of extensions of the theory to fresh molecular models and of new methods used in discussing dense gases and plasmas.

Mathematical Theory of Transport Processes in Gases

Author : Joel H. Ferziger
Publisher :
ISBN 13 :
Total Pages : 604 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Mathematical Theory of Transport Processes in Gases by : Joel H. Ferziger

Download or read book Mathematical Theory of Transport Processes in Gases written by Joel H. Ferziger and published by . This book was released on 1972 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Boltzmann Equation

Author : E.G.D. Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 3709183367
Total Pages : 647 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis The Boltzmann Equation by : E.G.D. Cohen

Download or read book The Boltzmann Equation written by E.G.D. Cohen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: In,1872, Boltzmann published a paper which for the first time provided a precise mathematical basis for a discussion of the approach to equilibrium. The paper dealt with the approach to equilibrium of a dilute gas and was based on an equation - the Boltzmann equation, as we call it now - for the velocity distribution function of such ~ gas. The Boltzmann equation still forms the basis of the kinetic theory of gases and has proved fruitful not only for the classical gases Boltzmann had in mind, but als- if properly generalized - for the electron gas in a solid and the excitation gas in a superfluid. Therefore it was felt by many of us that the Boltzmann equation was of sufficient interest, even today, to warrant a meeting, in which a review of its present status would be undertaken. Since Boltzmann had spent a good part of his life in Vienna, this city seemed to be a natural setting for such a meeting. The first day was devoted to historical lectures, since it was generally felt that apart from their general interest, they would furnish a good introduction to the subsequent scientific sessions. We are very much indebted to Dr. D.

The Mathematical Theory of Non-uniform Gases

Author : Sydney Chapman
Publisher :
ISBN 13 :
Total Pages : 423 pages
Book Rating : 4.:/5 (251 download)

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Book Synopsis The Mathematical Theory of Non-uniform Gases by : Sydney Chapman

Download or read book The Mathematical Theory of Non-uniform Gases written by Sydney Chapman and published by . This book was released on 1970 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematics of the Bose Gas and its Condensation

Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
ISBN 13 : 3764373377
Total Pages : 204 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis The Mathematics of the Bose Gas and its Condensation by : Elliott H. Lieb

Download or read book The Mathematics of the Bose Gas and its Condensation written by Elliott H. Lieb and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.

The mathematical theory of non-uniform gases; an account of the

Author : Sydney Chapman
Publisher :
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The mathematical theory of non-uniform gases; an account of the by : Sydney Chapman

Download or read book The mathematical theory of non-uniform gases; an account of the written by Sydney Chapman and published by . This book was released on 1952 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Theory of Non-uniform Gases

Author :
Publisher :
ISBN 13 :
Total Pages : 447 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis The Mathematical Theory of Non-uniform Gases by :

Download or read book The Mathematical Theory of Non-uniform Gases written by and published by . This book was released on 1991 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lecture Notes on the Mathematical Theory of the Boltzmann Equation

Author : N. Bellomo
Publisher : World Scientific
ISBN 13 : 9789810221669
Total Pages : 276 pages
Book Rating : 4.2/5 (216 download)

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Book Synopsis Lecture Notes on the Mathematical Theory of the Boltzmann Equation by : N. Bellomo

Download or read book Lecture Notes on the Mathematical Theory of the Boltzmann Equation written by N. Bellomo and published by World Scientific. This book was released on 1995 with total page 276 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.

Kinetic Theory of Gases in Shear Flows

Author : Vicente Garzó
Publisher : Springer Science & Business Media
ISBN 13 : 9401702918
Total Pages : 353 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Kinetic Theory of Gases in Shear Flows by : Vicente Garzó

Download or read book Kinetic Theory of Gases in Shear Flows written by Vicente Garzó and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The kinetic theory of gases as we know it dates to the paper of Boltzmann in 1872. The justification and context of this equation has been clarified over the past half century to the extent that it comprises one of the most complete examples of many-body analyses exhibiting the contraction from a microscopic to a mesoscopic description. The primary result is that the Boltzmann equation applies to dilute gases with short ranged interatomic forces, on space and time scales large compared to the corresponding atomic scales. Otherwise, there is no a priori limitation on the state of the system. This means it should be applicable even to systems driven very far from its eqUilibrium state. However, in spite of the physical simplicity of the Boltzmann equation, its mathematical complexity has masked its content except for states near eqUilibrium. While the latter are very important and the Boltzmann equation has been a resounding success in this case, the full potential of the Boltzmann equation to describe more general nonequilibrium states remains unfulfilled. An important exception was a study by Ikenberry and Truesdell in 1956 for a gas of Maxwell molecules undergoing shear flow. They provided a formally exact solution to the moment hierarchy that is valid for arbitrarily large shear rates. It was the first example of a fundamental description of rheology far from eqUilibrium, albeit for an unrealistic system. With rare exceptions, significant progress on nonequilibrium states was made only 20-30 years later.

Contemporary Kinetic Theory of Matter

Author : J. R. Dorfman
Publisher : Cambridge University Press
ISBN 13 : 1009038222
Total Pages : 667 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Contemporary Kinetic Theory of Matter by : J. R. Dorfman

Download or read book Contemporary Kinetic Theory of Matter written by J. R. Dorfman and published by Cambridge University Press. This book was released on 2021-06-24 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kinetic theory provides a microscopic description of many observable, macroscopic processes and has a wide range of important applications in physics, astronomy, chemistry, and engineering. This powerful, theoretical framework allows a quantitative treatment of many non-equilibrium phenomena such as transport processes in classical and quantum fluids. This book describes in detail the Boltzmann equation theory, obtained in both traditional and modern ways. Applications and generalizations describing non-equilibrium processes in a variety of systems are also covered, including dilute and moderately dense gases, particles in random media, hard sphere crystals, condensed Bose-Einstein gases, and granular materials. Fluctuation phenomena in non-equilibrium fluids, and related non-analyticities in the hydrodynamic equations are also discussed in some detail. A thorough examination of many topics concerning time dependent phenomena in material systems, this book describes both current knowledge as well as future directions of the field.

Mathematical Models of Granular Matter

Author : Gianfranco Capriz
Publisher : Springer Science & Business Media
ISBN 13 : 3540782761
Total Pages : 228 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Mathematical Models of Granular Matter by : Gianfranco Capriz

Download or read book Mathematical Models of Granular Matter written by Gianfranco Capriz and published by Springer Science & Business Media. This book was released on 2008-04-18 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. Prominent directions in the modelling granular flows are analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in the mechanics of granular matter. Various chapters introduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelastic Boltzmann equations are collected in different chapters. Gallavotti-Cohen symmetry is also discussed.

The Boltzmann Equation and Its Applications

Author : Carlo Cercignani
Publisher : Springer Science & Business Media
ISBN 13 : 1461210399
Total Pages : 467 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Boltzmann Equation and Its Applications by : Carlo Cercignani

Download or read book The Boltzmann Equation and Its Applications written by Carlo Cercignani and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical mechanics may be naturally divided into two branches, one dealing with equilibrium systems, the other with nonequilibrium systems. The equilibrium properties of macroscopic systems are defined in principle by suitable averages in well-defined Gibbs's ensembles. This provides a frame work for both qualitative understanding and quantitative approximations to equilibrium behaviour. Nonequilibrium phenomena are much less understood at the present time. A notable exception is offered by the case of dilute gases. Here a basic equation was established by Ludwig Boltzmann in 1872. The Boltzmann equation still forms the basis for the kinetic theory of gases and has proved fruitful not only for a study of the classical gases Boltzmann had in mind but also, properly generalized, for studying electron transport in solids and plasmas, neutron transport in nuclear reactors, phonon transport in superfluids, and radiative transfer in planetary and stellar atmospheres. Research in both the new fields and the old one has undergone a considerable advance in the last thirty years.

Developments in Mathematical and Experimental Physics

Author : Alfredo Macias
Publisher : Springer Science & Business Media
ISBN 13 : 1461501997
Total Pages : 226 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Developments in Mathematical and Experimental Physics by : Alfredo Macias

Download or read book Developments in Mathematical and Experimental Physics written by Alfredo Macias and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The FIRST MEXICAN MEETING ON MATHEMATICAL AND EXPERI MENTAL PHYSICS was held at EL COLEGIO N ACIONAL in Mexico Cit y, Mexico, from September 10 to 14, 2001. This event consisted of the LEOPOLDO GARciA-COLiN SCHERER Medal Lecture, delivered by Prof. Nicholas G. van Kampen, a series of plenary talks by Leopoldo Garcia-Colin, Giinter Nimtz, Luis F. Rodriguez, Ruoon Barrera, and Donald Saari, and of three parallel symposia, namely, Cosmology and Gravitation, Statistical Physics and Beyond, and Hydrodynamics and Dynamical Systems. The response from the Physics community was enthusiastic, with over 200 participants and around 80 speakers, from allover the world: USA, Canada, Mexico, Germany, France, Holland, United Kingdom, Switzerland, Spain, and Hungary. The main aim of the conference is to provide a scenario to Mexican researchers on the topics of Mathematical and Experimental Physics in order to keep them in contact with work going on in other parts of the world and at the same time to motivate and support the young and mid career researchers from our country. To achieve this goal, we decided to the most distinguished experts in the subjects of the invite as lecturers conference and to give the opportunity to young scientist to communi cate the results of their work. The plan is to celebrate this international endeavor every three years.

Handbook of Mathematical Fluid Dynamics

Author : S. Friedlander
Publisher : Elsevier
ISBN 13 : 0080532926
Total Pages : 829 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Mathematical Fluid Dynamics by : S. Friedlander

Download or read book Handbook of Mathematical Fluid Dynamics written by S. Friedlander and published by Elsevier. This book was released on 2002-07-09 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.

An Introduction to the Boltzmann Equation and Transport Processes in Gases

Author : Gilberto M. Kremer
Publisher : Springer Science & Business Media
ISBN 13 : 3642116965
Total Pages : 313 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis An Introduction to the Boltzmann Equation and Transport Processes in Gases by : Gilberto M. Kremer

Download or read book An Introduction to the Boltzmann Equation and Transport Processes in Gases written by Gilberto M. Kremer and published by Springer Science & Business Media. This book was released on 2010-08-18 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.