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Sur Lexistence Globale Et Le Comportement Asymptotique De Quelques Solutions De Lequation De Boltzmann
Download Sur Lexistence Globale Et Le Comportement Asymptotique De Quelques Solutions De Lequation De Boltzmann full books in PDF, epub, and Kindle. Read online Sur Lexistence Globale Et Le Comportement Asymptotique De Quelques Solutions De Lequation De Boltzmann ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Sur l'existence globale et le comportement asymptotique de quelques solutions de l'équation de Boltzmann by : Kamal Ahmed Hamdache
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
Book Synopsis SUR LES MODELES DISCRETS DE L'EQUATION DE BOLTZMANN AVEC TERMES LINEAIRES ET QUADRATIQUES by : Mitsuru Yamazaki
Download or read book SUR LES MODELES DISCRETS DE L'EQUATION DE BOLTZMANN AVEC TERMES LINEAIRES ET QUADRATIQUES written by Mitsuru Yamazaki and published by . This book was released on 1993 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: ON ETUDIE LES MODELES DISCRETS DE L'EQUATION DE BOLTZMANN QUI DECRIVENT L'ETAT D'UN GAZ RAREFIE DONT LES VITESSES DES MOLECULES APPARTIENNENT A UN ENSEMBLE FINI I DE VECTEURS. IL S'AGIT D'UN SYSTEME SEMI-LINEAIRE D'ORDRE UN, QUI REPRESENTE LE MOUVEMENT DES MOLECULES DANS UN TUBE MINCE INFINI SOUS L'INFLUENCE DES INTERACTIONS BINAIRES ET DE LA REFLEXION CONTRE LA PAROI DU TUBE. ON SUPPOSE TOUJOURS QUE DES CONDITIONS PHYSIQUES SONT VERIFIEES. A NOTRE CONNAISSANCE, PERSONNE N'A ETUDIE JUSQU'A PRESENT CE SYSTEME COMPORTANT DES TERMES LINEAIRES ET QUADRATIQUES. POUR LES VITESSES DISTINCTES, ON DEMONTRE L'EXISTENCE GLOBALE DE SOLUTIONS POUR DES DONNEES D'ENTROPIE LOCALEMENT FINIE SOUS LA CONDITION MICROREVERSIBILITE, CE QUI EST, JUSQU'A PRESENT, LE RESULTAT EXIGEANT LE MOINS DE REGULARITE SUR LES CONDITIONS INITIALES POUR OBTENIR L'EXISTENCE GLOBALE, MEME S'IL N'Y A PAS DE TERMES LINEAIRES. ENSUITE ON DEMONTRE L'EXISTENCE GLOBALE DE SOLUTIONS POUR DES DONNEES LOCALEMENT BORNEES, EN SUPPOSANT LA CONSERVATION DE LA QUANTITE DE MOUVEMENT AU COURS DE COLLISIONS. ENSUITE, ON MONTRE QUE LA SOLUTION RESTE BORNEE POUR DES DONNEES SOMMABLES ET BORNEES, EN SUPPOSANT LES CONSERVATIONS DE LA QUANTITE DE MOUVEMENT AU COURS DE COLLISIONS ET AU COURS DE LA REFLEXION. EN PLUS, POUR CES MEMES CONDITIONS, ON DEMONTRE LE COMPORTEMENT ASYMPTOTIQUE DES SOLUTIONS: POUR DES DONNEES SOMMABLES ET BORNEES, LES SOLUTIONS CONVERGENT VERS UNE FONCTION PRESQUE PARTOUT. ET PUIS, POUR LES VITESSES DISTINCTES, ON DEMONTRE LA CONVERGENCE UNIFORME DE SOLUTIONS. DANS LE CHAPITRE SEPT, ON TRAITE LE CAS DE DONNEES PETITES, EN SUPPOSANT QUE SUFFISAMMENT DE COEFFICIENTS DE REFLEXION SONT NON NULS, CE QUI EST INCOMPATIBLE AVEC LA CONSERVATION DE LA QUANTITE DE MOUVEMENT AU COURS DE LA REFLEXION. ON DEMONTRE ALORS, SELON L'ARGUMENT DU A SHIZUTA ET KAWASHIMA, LA DECROISSANCE DES SOLUTIONS
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 Rarefied Gas Dynamics by : Eric Phillip Muntz
Download or read book Rarefied Gas Dynamics written by Eric Phillip Muntz and published by . This book was released on 1989 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forty-four papers (revised) from the conference held July 1988. They cover: kinetic theory, discrete kinetic theory, direct simulations, numerical techniques, and flowfields. Acidic paper; no subject index. Annotation copyright Book News, Inc. Portland, Or.
Book Synopsis Étude mathématique de quelques équations cinétiques collisionnelles by : Clément Mouhot
Download or read book Étude mathématique de quelques équations cinétiques collisionnelles written by Clément Mouhot and published by . This book was released on 2004 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: On s'intéresse dans cette thèse à l'étude des solutions des équations de Boltzmann (élastiques et inélastiques) et Landau. Les axes de cette étude sont la régularité des solutions et leur comportement asymptotique, et nous nous attachons systématiquement à quantifier les résultats obtenus. Dans la première partie, d'une part nous considérons les solutions spatialement homogènes de l'équation de Boltzmann, pour lesquelles nous montrons la propagation de la régularité et la décroissance des singularités pour des interactions à courte portée, et la propagation de bornes d'intégrabilité pour des interactions à longue portée. D'autre part, nous quantifions la positivité des solutions spatialement inhomogènes, sous des hypothèses de régularité. Dans la deuxième partie, nous donnons des estimations de trou spectral et de coercivité sur les opérateurs de Boltzmann et Landau linéarisés, puis nous prouvons la convergence exponentielle vers l'équilibre avec taux explicite pour un gaz de sphères dures spatialement homogènes. Dans la troisième partie, nous considérons l'équation de Boltzmann spatialement homogène pour les gaz granulaires, pour laquelle nous construisons des solutions pour des modèles d'inélasticité réalistes (mais fortement non-linéaires) et discutons la possibilité de " gel " en temps fini ou asymptotiquement. Puis nous montrons l'existence de profils auto-similaires et étudions le comportement de la solution pour les grandes vitesses. Dans la quatrième partie, nous utilisons une semi-discrétisation de l'opérateur de Boltzmann pour proposer des schémas numériques rapides basés sur les méthodes spectrales ou les méthodes par discrétisation des vitesses.
Book Synopsis Théorèmes asymptotiques pour les équations de Boltzmann et de Landau by : Kléber Carrapatoso
Download or read book Théorèmes asymptotiques pour les équations de Boltzmann et de Landau written by Kléber Carrapatoso and published by . This book was released on 2013 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nous nous intéressons dans cette thèse à la théorie cinétique et aux systèmes de particules dans le cadre des équations de Boltzmann et Landau. Premièrement, nous étudions la dérivation des équations cinétiques comme des limites de champ moyen des systèmes de particules, en utilisant le concept de propagation du chaos. Plus précisément, nous étudions les probabilités chaotiques sur l'espace de phase de ces systèmes de particules : la sphère de Boltzmann, qui correspond à l'espace de phase d'un système de particules qui évolue conservant le moment et l'énergie ; et la sphère de Kac, correspondant à un système de particules qui conserve seulement l'énergie. Ensuite, nous nous intéressons à la propagation du chaos, avec des estimations quantitatives et uniforme en temps, pour les équations de Boltzmann et Landau. Deuxièmement, nous étudions le comportement asymptotique en temps grand des solutions de l'équation de Landau.
Book Synopsis The Relativistic Boltzmann Equation: Theory and Applications by : Carlo Cercignani
Download or read book The Relativistic Boltzmann Equation: Theory and Applications written by Carlo Cercignani and published by Birkhäuser. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.
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 Gulf Professional Publishing. This book was released on 2003-03-27 with total page 627 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.
Download or read book Physics on Manifolds written by M. Flato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Colloquium "Analysis, Manifolds and Physics" organized in honour of Yvonne Choquet-Bruhat by her friends, collaborators and former students, on June 3, 4 and 5, 1992 in Paris. Its title accurately reflects the domains to which Yvonne Choquet-Bruhat has made essential contributions. Since the rise of General Relativity, the geometry of Manifolds has become a non-trivial part of space-time physics. At the same time, Functional Analysis has been of enormous importance in Quantum Mechanics, and Quantum Field Theory. Its role becomes decisive when one considers the global behaviour of solutions of differential systems on manifolds. In this sense, General Relativity is an exceptional theory in which the solutions of a highly non-linear system of partial differential equations define by themselves the very manifold on which they are supposed to exist. This is why a solution of Einstein's equations cannot be physically interpreted before its global behaviour is known, taking into account the entire hypothetical underlying manifold. In her youth, Yvonne Choquet-Bruhat contributed in a spectacular way to this domain stretching between physics and mathematics, when she gave the proof of the existence of solutions to Einstein's equations on differential manifolds of a quite general type. The methods she created have been worked out by the French school of mathematics, principally by Jean Leray. Her first proof of the local existence and uniqueness of solutions of Einstein's equations inspired Jean Leray's theory of general hyperbolic systems.
Book Synopsis Advances in Mathematical Fluid Mechanics by : Josef Malek
Download or read book Advances in Mathematical Fluid Mechanics written by Josef Malek and published by Springer. This book was released on 2000-10-04 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids. The first article "Viscous flows in Besov spaces" by M area Cannone ad dresses the problem of global existence of a uniquely defined solution to the three-dimensional Navier-Stokes equations for incompressible fluids. Among others the following topics are intensively treated in this contribution: (i) the systematic description of the spaces of initial conditions for which there exists a unique local (in time) solution or a unique global solution for small data, (ii) the existence of forward self-similar solutions, (iii) the relation of these results to Leray's weak solutions and backward self-similar solutions, (iv) the extension of the results to further nonlinear evolutionary problems. Particular attention is paid to the critical spaces that are invariant under the self-similar transform. For sufficiently small Reynolds numbers, the conditional stability in the sense of Lyapunov is also studied. The article is endowed by interesting personal and historical comments and an exhaustive bibliography that gives the reader a complete picture about available literature. The papers "The dynamical system approach to the Navier-Stokes equa tions for compressible fluids" by Eduard Feireisl, and "Asymptotic problems and compressible-incompressible limits" by Nader Masmoudi are devoted to the global (in time) properties of solutions to the Navier-Stokes equa and three tions for compressible fluids. The global (in time) analysis of two dimensional motions of compressible fluids were left open for many years.
Book Synopsis Fokker-Planck-Kolmogorov Equations by : Vladimir I. Bogachev
Download or read book Fokker-Planck-Kolmogorov Equations written by Vladimir I. Bogachev and published by American Mathematical Soc.. This book was released on 2015-12-17 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker-Planck-Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.
Book Synopsis African Doctorates in Mathematics by :
Download or read book African Doctorates in Mathematics written by and published by Lulu.com. This book was released on 2007 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)
Author :Cécile Dewitt-Morette Publisher :Springer Science & Business Media ISBN 13 :1489903194 Total Pages :436 pages Book Rating :4.4/5 (899 download)
Book Synopsis Functional Integration by : Cécile Dewitt-Morette
Download or read book Functional Integration written by Cécile Dewitt-Morette and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. Makri). b) integrals based on Poisson processes and their applications to wave propagation (S. K. Foong), in particular a wave-restorer or wave-designer algorithm yielding the initial wave profile when one can only observe its distortion through a dissipative medium. c) the formulation of a quantum equivalence principle (H. Kleinert) which. given the flat space theory, yields a well-defined quantum theory in spaces with curvature and torsion.
Book Synopsis Quantum Mechanics, Volume 3 by : Claude Cohen-Tannoudji
Download or read book Quantum Mechanics, Volume 3 written by Claude Cohen-Tannoudji and published by John Wiley & Sons. This book was released on 2019-12-16 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new, third volume of Cohen-Tannoudji's groundbreaking textbook covers advanced topics of quantum mechanics such as uncorrelated and correlated identical particles, the quantum theory of the electromagnetic field, absorption, emission and scattering of photons by atoms, and quantum entanglement. Written in a didactically unrivalled manner, the textbook explains the fundamental concepts in seven chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * Completing the success story: the third and final volume of the quantum mechanics textbook written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloë * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the books comes with a wealth of elaborately explained examples and applications Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.
Book Synopsis Rarefied Gas Dynamics by : Carlo Cercignani
Download or read book Rarefied Gas Dynamics written by Carlo Cercignani and published by Cambridge University Press. This book was released on 2000-02-28 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present the concepts, methods and applications of kinetic theory to rarefied gas dynamics. After introducing the basic tools, problems in plane geometry are treated using approximation techniques (perturbation and numerical methods). These same techniques are later used to deal with two- and three-dimensional problems. The models include not only monatomic but also polyatomic gases, mixtures, chemical reactions. A special chapter is devoted to evaporation and condensation phenomena. Each section is accompanied by problems which are mainly intended to demonstrate the use of the material in the text and to outline additional subjects, results and equations. This will help ensure that the book can be used for a range of graduate courses in aerospace engineering or applied mathematics.
Book Synopsis Basic Concepts for Simple and Complex Liquids by : Jean-Louis Barrat
Download or read book Basic Concepts for Simple and Complex Liquids written by Jean-Louis Barrat and published by Cambridge University Press. This book was released on 2003-03-27 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a unified approach, this book focusses on the concepts and theoretical methods that are necessary for an understanding of the physics and chemistry of the fluid state. The authors do not attempt to cover the whole field in an encyclopedic manner. Instead, important ideas are presented in a concise and rigorous style, and illustrated with examples from both simple molecular liquids and more complex soft condensed matter systems such as polymers, colloids, and liquid crystals.
Book Synopsis Partial Differential Equations of Mathematical Physics by : S. L. Sobolev
Download or read book Partial Differential Equations of Mathematical Physics written by S. L. Sobolev and published by Courier Corporation. This book was released on 1964-01-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.
