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Author : Guy Pichon
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (879 download)
Download or read book Problèmes mathématique de l'équation de Boltzmann relativiste written by Guy Pichon and published by . This book was released on 1971 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rmi Hakim
Publisher : World Scientific
ISBN 13 : 9814322431
Total Pages : 567 pages
Book Rating : 4.8/5 (143 download)
Download or read book Introduction to Relativistic Statistical Mechanics written by Rmi Hakim and published by World Scientific. This book was released on 2011 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics ? to which a major part is devoted ? will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.
Author : Nancy D. Anderson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821801291
Total Pages : 198 pages
Book Rating : 4.8/5 (12 download)
Download or read book French Mathematical Seminars written by Nancy D. Anderson and published by American Mathematical Soc.. This book was released on 1989 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for mathematics librarians, the list allows librarians to ascertain if a seminaire has been published, which library has it, and the forms of entry under which it has been cataloged.
Author : Bernard Vignon
Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.:/5 (69 download)
Download or read book Sur l'utilisation de l'équation de Boltzmann en hydrodynamique relativiste written by Bernard Vignon and published by . This book was released on 1970 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sybren Ruurds Groot
Publisher : North Holland
ISBN 13 :
Total Pages : 446 pages
Book Rating : 4.:/5 (45 download)
Download or read book Relativistic Kinetic Theory written by Sybren Ruurds Groot and published by North Holland. This book was released on 1980 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carlo Cercignani
Publisher : Birkhäuser
ISBN 13 : 3034881657
Total Pages : 391 pages
Book Rating : 4.0/5 (348 download)
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.
Author : Christiane Rigolot
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (489 download)
Download or read book Sur la théorie mathématique de l'équation de Boltzmann written by Christiane Rigolot and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ETUDE DE L'EXISTENCE ET DE L'UNICITE DE LA SOLUTION DE L'EQUATION DE BOLTZMANN UNIDIMENSIONNELLE STATIONNAIRE SUR UN INTERVALLE NON BORNE. ON ETUDIE LE CAS OU LE DOMAINE EST LIMITE PAR UNE PAROI A UN BOUT: CAS DE REFLEXION LINEAIRE. CAS DE L'EQUATION LINEAIRE, NON STATIONNAIRE SUR LA DROITE DANS L**(2)(R,H). PROBLEME NON LINEAIRE, NON STATIONNAIRE, SUR LA DROITE, DANS LES ESPACES BR. PROBLEME NON LINEAIRE, NON STATIONNAIRE SUR LA DROITE DANS L'ESPACE BR(L**(2)(R) INTER L**(INFINI)(R))
Author : Cédric Villani
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (18 download)
Download or read book Contribution à l'étude mathématique des équations de Boltzmann et de Landau en théorie cinétique des gaz et des plasmas written by Cédric Villani and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nous étudions des équations cinétiques de la forme f/t + v. *#xf = q(f, f), t0, x, r#n, v, r#n, qui décrivent l'évolution d'un gaz ou d'un plasma dans lequel les particules subissent des collisions modélisées par l'opérateur q, dit - de Boltzmann : q(f, f) dv#* d b(v v#*,) (f'f'#* ff#*), - ou de Landau : q(f, f) = /v#i dv#*a#i#j(v v#*) (f♯*f/v#j ff#*/v#*#, #j). Les trois premières parties de cette thèse concernent les équations homogènes (indépendantes de x) #tf = q(f, f). On insiste particulièrement sur deux points : les collisions rasantes et la dissipation d'entropie. Dans la première partie, on étudie le problème de Cauchy associé aux équations de Boltzmann et de Landau homogènes (pour des sections efficaces réalistes et éventuellement singulières), des propriétés de régularité des solutions, ainsi que l'asymptotique des collisions rasantes qui permet de passer d'une équation à l'autre. La deuxième partie est consacrée au cas particulier des molécules maxwelliennes. Sous cette hypothèse, on effectue une étude détaillée du problème de Cauchy et du retour vers l'équilibre, ainsi que des liens entre théorie cinétique et théorie de l'information. Dans la troisième partie, on utilise les résultats précédents pour obtenir des estimations explicites sur la vitesse de retour vers l'équilibre dans le cas général. Dans la quatrième partie, on obtient des résultats partiels sur le problème de Cauchy pour l'équation de Landau inhomogène, et quelques estimations nouvelles sur l'équation de Boltzmann inhomogène. Enfin, dans la cinquième partie, on établit diverses formes conservatives de l'opérateur de Boltzmann, avec application à l'asymptotique des collisions rasantes.
Author : Simone Marquet
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (493 download)
Download or read book Sur la théorie mathématique de l'équation de Boltzmann written by Simone Marquet and published by . This book was released on 1955 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J-L.. Lucquiaud
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (49 download)
Download or read book Sur l'équation de Boltzmann relativiste et applications written by J-L.. Lucquiaud and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Equation de Boltzmann relativiste. Polynômes orthogonaux sur l'hyperboloïde de Minkowski. Application a la thermodynamique relativiste: démonstration des hypothèses de compressibilité relativistes, interprétation au moyen des fonctions sphériques zonales.
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Author : Christiane Rigolot
Publisher :
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (251 download)
Download or read book Sur la théorie mathématiques [!] de l'équation de Boltzmann written by Christiane Rigolot and published by . This book was released on 1973 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Pierre Guiraud
Publisher :
ISBN 13 :
Total Pages : 95 pages
Book Rating : 4.:/5 (31 download)
Download or read book Théorie mathématique de l'équation de Boltzmann written by Jean-Pierre Guiraud and published by . This book was released on 1968 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1320 pages
Book Rating : 4.:/5 (39 download)
Download or read book IBZ (kombinierte Folge) written by and published by . This book was released on 1973 with total page 1320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.3/5 (91 download)
Download or read book Index of Mathematical Papers written by and published by . This book was released on 1972 with total page 568 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:
Author : Frédéric Poupaud
Publisher :
ISBN 13 :
Total Pages : 285 pages
Book Rating : 4.:/5 (49 download)
Download or read book ETUDE MATHEMATIQUE ET SIMULATIONS NUMERIQUES DE QUELQUES EQUATIONS DE BOLTZMANN written by Frédéric Poupaud and published by . This book was released on 1988 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: ON PRESENTE UNE METHODE PARTICULAIRE DETERMINANTE, ALTERNATIVE AUX METHODES MONTE CARLO, POUR LA RESOLUTION DES EQUATIONS CINETIQUES. LA VITESSE DE CONVERGENCE ET DES TESTS NUMERIQUES SONT DONNES DANS LE CAS DE L'EQUATION DE TRANSPORT DES NEUTRONS. L'EQUATION DE BOLTZMANN EST SIMULE NUMERIQUEMENT DANS UN CAS D'INTERET PHYSIQUE. ON ETUDIE ENSUITE LES LIMITES FLUIDES DES EQUATIONS CINETIQUES. DANS CE BUT ON EXPLICITE LES COMPORTEMENTS DES SOLUTIONS STATIONNAIRES DU PROBLEME DE MILNE DE LA DYNAMIQUE DES GAZ. UNE ETUDE COMPLETE: EXISTENCE, PROBLEME DE MILNE, APPROXIMATION PAR LA DIFFUSION, EST FAITE POUR UNE EQUATION DE BOLTZMANN LINEAIRE DE LA PHYSIQUE DES SEMICONDUCTEURS. EXISTENCE ET UNICITE SONT PROUVES DANS UN CAS NON LINEAIRE (STATISTIQUE DE FERMI-DIRAC). LA LIMITE FLUIDE EST ALORS OBTENUE PAR DES METHODES D'ENTROPIES ET DE COMPACITE EN MOYENNE
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.
