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Author : Frédéric Molinet
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (492 download)
Download or read book Recherche sur les solutions de l'équation de Boltzmann written by Frédéric Molinet and published by . This book was released on 1971 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Laure Saint-Raymond
Publisher : Springer
ISBN 13 : 3540928472
Total Pages : 203 pages
Book Rating : 4.5/5 (49 download)
Download or read book Hydrodynamic Limits of the Boltzmann Equation written by Laure Saint-Raymond and published by Springer. This book was released on 2009-04-20 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.
Author : E.G.D. Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 3709183367
Total Pages : 647 pages
Book Rating : 4.7/5 (91 download)
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.
Author : Théophile Dolmaire
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (122 download)
Download or read book Etude Mathématique de la Dérivation de L'équation de Boltzmann Dans Un Domaine À Bord written by Théophile Dolmaire and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boltzmann equation is a model introduced in order to describe diluted gases. The solutions of this equation present an interesting behaviour: they converge irreversibly towards a determined equilibrium. However, the Boltzmann equation is formally obtained using a microscopic description of the matter, in which the interactions between the atoms constituting the gas are time-reversible. From this paradox has emerged the question of a mathematically rigorous derivation of the Boltzmann equation.In this work one has obtained such a derivation in the case of a domain with a boundary (Lanford obtained this derivation in the case when the domain is the whole Euclidean space, which was historically speaking the first rigorous derivation of the Boltzmann equation), by prescribing the specular reflexion as the way the particles and the boundary of the domain interact. The domain here will be the half-space.This derivation is using sequences of equations, namely the BBGKY and the Boltzmann hierarchies. After a presentation of the formal derivation of those hierarchies in the case of a domain with boundary, one has carefully addressed the rigorous definition of those hierarchies, detailing the appropriate functional setting. In a second part, the proof of the convergence of the solutions of the BBGKY hierarchy towards the solutions of the Boltzmann hierarchy is presented exhaustively. In particular, the geometrical control of the recollisions in the case of the half-space has been written in the most comprehensive way.
Author : E. L. Secrest
Publisher :
ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.3/5 (91 download)
Download or read book Solutions of the Boltzmann Equation in Two Space Dimensions written by E. L. Secrest and published by . This book was released on 1959 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. Bellomo
Publisher : World Scientific
ISBN 13 : 9812382259
Total Pages : 317 pages
Book Rating : 4.8/5 (123 download)
Download or read book Lecture Notes on the Discretization of the Boltzmann Equation written by N. Bellomo and published by World Scientific. This book was released on 2003 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.
Author : Kamal Ahmed Hamdache
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (255 download)
Download or read book Sur l'existence globale et le comportement asymptotique de quelques solutions de l'équation de Boltzmann written by Kamal Ahmed Hamdache and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ETUDE DES SOLUTIONS DE DEUX MODELES MATHEMATIQUES INTERVENANT EN THEORIE CINETIQUE DES GAZ RAREFIES: L'EQUATION DE BOLTZMANN ET SA VERSION DISCRETE PAR RAPPORT AUX VITESSES INCLUANT LE SYSTEME DE BROADWELL. ON DONNE DANS LE CADRE DU REGIME MOLECULAIRE PRESQUE LIBRE ET DES PETITES SOLUTIONS DES THEOREMES D'EXISTENCE GLOBALE, DE COMPORTEMENT ASYMPTOTIQUE ET DE DECROISSANCE POUR LES TEMPS GRANDS. L'APPROCHE ADOPTEE CONSISTE D'UNE PART A CONSTRUIRE DES SOLUTIONS EXPLICITES DECRIVANT LE REGIME MOLECULAIRE LIBRE PUIS, A CONTROLER LES EFFETS NON LINEAIRES DES COLLISIONS BINAIRES PAR LES PROPRIETES DE TRANSPORT DES EQUATIONS
Author : N. Bellomo
Publisher : World Scientific
ISBN 13 : 9789810221669
Total Pages : 276 pages
Book Rating : 4.2/5 (216 download)
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.
Author : V.V. Aristov
Publisher : Springer Science & Business Media
ISBN 13 : 9401008663
Total Pages : 305 pages
Book Rating : 4.4/5 (1 download)
Download or read book Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows written by V.V. Aristov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the methods of solving the nonlinear Boltz mann equation and of investigating its possibilities for describing some aerodynamic and physical problems. This monograph is a sequel to the book 'Numerical direct solutions of the kinetic Boltzmann equation' (in Russian) which was written with F. G. Tcheremissine and published by the Computing Center of the Russian Academy of Sciences some years ago. The main purposes of these two books are almost similar, namely, the study of nonequilibrium gas flows on the basis of direct integration of the kinetic equations. Nevertheless, there are some new aspects in the way this topic is treated in the present monograph. In particular, attention is paid to the advantages of the Boltzmann equation as a tool for considering nonequi librium, nonlinear processes. New fields of application of the Boltzmann equation are also described. Solutions of some problems are obtained with higher accuracy. Numerical procedures, such as parallel computing, are in vestigated for the first time. The structure and the contents of the present book have some com mon features with the monograph mentioned above, although there are new issues concerning the mathematical apparatus developed so that the Boltzmann equation can be applied for new physical problems. Because of this some chapters have been rewritten and checked again and some new chapters have been added.
Author : Nicola Bellomo
Publisher : World Scientific
ISBN 13 : 9814500844
Total Pages : 273 pages
Book Rating : 4.8/5 (145 download)
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.
Author : Carlo Cercignani
Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.:/5 (45 download)
Download or read book Theory and Application of the Boltzmann Equation written by Carlo Cercignani and published by . This book was released on 1975 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appendix after each chapter
Author : J. H. Bennett
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Numerical Solution to the Angle-integrated Boltzmann Equation written by J. H. Bennett and published by . This book was released on 1958 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Sinitsyn
Publisher : Elsevier
ISBN 13 : 0123877806
Total Pages : 321 pages
Book Rating : 4.1/5 (238 download)
Download or read book Kinetic Boltzmann, Vlasov and Related Equations written by Alexander Sinitsyn and published by Elsevier. This book was released on 2011-06-17 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Liping Xu
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (1 download)
Download or read book Contribution À L'étude de L'équation de Boltzmann Homogène written by Liping Xu and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. Cercignani
Publisher : Springer
ISBN 13 : 3540387773
Total Pages : 250 pages
Book Rating : 4.5/5 (43 download)
Download or read book Kinetic Theories and the Boltzmann Equation written by C. Cercignani and published by Springer. This book was released on 2006-11-14 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold Grad
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Equivalence of the Navier-Stokes and Nonlinear Boltzmann Equations written by Harold Grad and published by . This book was released on 1964 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.:/5 (37 download)
Download or read book Théories Cinétiques Classiques Et Relativistes written by and published by . This book was released on 1975 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
