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Boltzmann Collision Operator With Inverse Power Intermolecular Potentials
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Book Synopsis Boltzmann Collision Operator with Inverse-Power Intermolecular Potentials... by : Young-Ping Pao
Download or read book Boltzmann Collision Operator with Inverse-Power Intermolecular Potentials... written by Young-Ping Pao and published by Hardpress Publishing. This book was released on 2013-12 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
Book Synopsis Boltzmann Collision Operator with Inverse-Power Intermolecular Potentials by : Young-ping Pao
Download or read book Boltzmann Collision Operator with Inverse-Power Intermolecular Potentials written by Young-ping Pao and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report studies the linearized collision operator in the Boltzmann equation with repulsive intermolecular potentials V(r) = a(r sup( -alpha)). It is shown that for alpha> 2 the collision operator has a purely discrete spectrum and its eigenfunctions are infinitely differentiable (L sup 2)-functions which are complete in (L sup 2). The proof relies on the formalism of pseudo-differential operators. The report contains two parts: Part I deals with the special case of alpha = 4, the Maxwell's molecules, while Part II considers the general case of inverse-power potentials with alpha> 2. (Author).
Book Synopsis Boltzmann Collision Operator With Inverse-Power Intermolecular Potentials (Classic Reprint) by : Young-Ping Pao
Download or read book Boltzmann Collision Operator With Inverse-Power Intermolecular Potentials (Classic Reprint) written by Young-Ping Pao and published by Forgotten Books. This book was released on 2016-06-24 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Boltzmann Collision Operator With Inverse-Power Intermolecular Potentials The report contains two parts: Part I deals with the Special case of a 4, the Maxwell's molecules. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 1146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamentals of Maxwel's Kinetic Theory of a Simple Monatomic Gas by :
Download or read book Fundamentals of Maxwel's Kinetic Theory of a Simple Monatomic Gas written by and published by Academic Press. This book was released on 1980-02-13 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Maxwel's Kinetic Theory of a Simple Monatomic Gas
Book Synopsis Nonlinear Evolution Equations by : Michael G. Crandall
Download or read book Nonlinear Evolution Equations written by Michael G. Crandall and published by Elsevier. This book was released on 2014-05-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Evolution Equation covers the proceedings of the Symposium by the same title, conducted by the Mathematics Research Center at the University of Wisconsin, Madison on October 17-19, 1977. This book is divided into 13 chapters and begins with reviews of the uniqueness of solution to systems of conservation laws and the computational aspects of Glimm's method. The next chapters examine the theoretical and practical aspects of Boltzmann, Navier-Stokes, and evolution equations. These topics are followed by discussions of the practical applications of Trotter's product formula for some nonlinear semigroups and the finite time blow-up in nonlinear problems. The closing chapters deal with a Hamiltonian approach to the K-dV and other equations, along with a variational method for finding periodic solutions of differential equations. This book will prove useful to mathematicians and engineers.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1974 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rarefied Gas Dynamics; Proceedings by :
Download or read book Rarefied Gas Dynamics; Proceedings written by and published by . This book was released on 1974 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Kinetic Theory And Mathematical Aspects Of Hyperbolic Systems by : Vinicio C Boffi
Download or read book Nonlinear Kinetic Theory And Mathematical Aspects Of Hyperbolic Systems written by Vinicio C Boffi and published by World Scientific. This book was released on 1992-10-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Mathematical Biology and Kinetic Theory Evolution of the Dominance in a Population of Interacting Organisms (N Bellomo & M Lachowicz)Formation of Maxwellian Tails (A V Bobylev)On Long Time Asymptotics of the Vlasov-Poisson-Boltzmann System (J Dolbeault)The Classical Limit of a Self-Consistent Quantum-Vlasov Equation in 3-D (P A Markowich & N J Mauser)Simple Balance Methods for Transport in Stochastic Mixtures (G C Pomraning)Knudsen Layer Analysis by the Semicontinuous Boltzmann Equation (L Preziosi)Remarks on a Self Similar Fluid Dynamic Limit for the Broadwell System (M Slemrod & A E Tzavaras)On Extended Kinetic Theory with Chemical Reaction (C Spiga)Stability and Exponential Convergence in Lp for the Spatially Homogeneous Boltzmann Equation (B Wennberg)and other papers Readership: Applied mathematicians. keywords:Proceedings;Workshop;Rapallo (Italy);Kinetic Theory;Hyperbolic Systems;Nonlinear Kinetic Theory
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.
Book Synopsis Non-Equilibrium Statistical Mechanics by : James H. Luscombe
Download or read book Non-Equilibrium Statistical Mechanics written by James H. Luscombe and published by CRC Press. This book was released on 2024-09-23 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical mechanics provides a framework for relating the properties of macroscopic systems (large collections of atoms, such as in a solid) to the microscopic properties of its parts. However, what happens when macroscopic systems are not in thermal equilibrium, where time is not only a relevant variable, but also essential? That is the province of nonequilibrium statistical mechanics – there are many ways for systems to be out of equilibrium! The subject is governed by fewer general principles than equilibrium statistical mechanics and consists of a number of different approaches for describing nonequilibrium systems. Financial markets are analyzed using methods of nonequilibrium statistical physics, such as the Fokker-Planck equation. Any system of sufficient complexity can be analyzed using the methods of nonequilibrium statistical mechanics. The Boltzmann equation is used frequently in the analysis of systems out of thermal equilibrium, from electron transport in semiconductors to modeling the early Universe following the Big Bang. This book provides an accessible yet very thorough introduction to nonequilibrium statistical mechanics, building on the author's years of teaching experience. Covering a broad range of advanced, extension topics, it can be used to support advanced courses on statistical mechanics, or as a supplementary text for core courses in this field. Key Features: Features a clear, accessible writing style which enables the author to take a sophisticated approach to the subject, but in a way that is suitable for advanced undergraduate students and above Presents foundations of probability theory and stochastic processes and treats principles and basic methods of kinetic theory and time correlation functions Accompanied by separate volumes on thermodynamics and equilibrium statistical mechanics, which can be used in conjunction with this book
Book Synopsis Bulletin de L'Académie Polonaise Des Sciences by : Polska Akademia Nauk
Download or read book Bulletin de L'Académie Polonaise Des Sciences written by Polska Akademia Nauk and published by . This book was released on 1980 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Government Reports Announcements by :
Download or read book Government Reports Announcements written by and published by . This book was released on 1975-03 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis From Particle Systems to Partial Differential Equations III by : Patrícia Gonçalves
Download or read book From Particle Systems to Partial Differential Equations III written by Patrícia Gonçalves and published by Springer. This book was released on 2016-07-16 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of this book is on different topics in probability theory, partial differential equations and kinetic theory, presenting some of the latest developments in these fields. It addresses mathematical problems concerning applications in physics, engineering, chemistry and biology that were presented at the Third International Conference on Particle Systems and Partial Differential Equations, held at the University of Minho, Braga, Portugal in December 2014. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, providing a venue for them to present their latest findings and discuss their areas of expertise. Further, it was intended to introduce a vast and varied public, including young researchers, to the subject of interacting particle systems, its underlying motivation, and its relation to partial differential equations. This book will appeal to probabilists, analysts and those mathematicians whose work involves topics in mathematical physics, stochastic processes and differential equations in general, as well as those physicists whose work centers on statistical mechanics and kinetic theory.
Book Synopsis Symmetries of Integro-Differential Equations by : Sergey V. Meleshko
Download or read book Symmetries of Integro-Differential Equations written by Sergey V. Meleshko and published by Springer Science & Business Media. This book was released on 2010-07-12 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible yet comprehensive description of the application methods of group analysis to integro-differential equations. It offers both fundamental theoretical and algorithmic aspects of these methods and includes instructive examples.
