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Limite Hydrodynamique Des Modeles Discrets Et Semidiscrets De Lequation De Boltzmann
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Book Synopsis Limite hydrodynamique des modèles discrets et semidiscrets de l'équation de Boltzmann by : Jillal Hammouch
Download or read book Limite hydrodynamique des modèles discrets et semidiscrets de l'équation de Boltzmann written by Jillal Hammouch and published by . This book was released on 1995 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE THESE EST CONSACREE A L'ETUDE DU LIEN ENTRE LES EQUATIONS CINETIQUES A VITESSES DISCRETES, SEMIDISCRETES ET LES EQUATIONS DE LA MECANIQUE DU FLUIDE. PLUS PRECISEMENT LA LIMITE HYDRODYNAMIQUE DES MODELES DISCRETS ET SEMIDISCRETS DE L'EQUATION DE BOLTZMANN. DANS LA PREMIERE PARTIE, APRES UNE DESCRIPTION GENERALE DES EQUATIONS CINETIQUES A VITESSES DISCRETES ET A COLLISIONS BINAIRES PARAMETREES PAR > 0, NOUS DEMONTRONS L'EXISTENCE, L'UNICITE, LA STABILITE ET LE COMPORTEMENT ASYMPTOTIQUE DE LA SOLUTION AINSI QUE LA CONVERGENCE VERS LES EQUATIONS DU TYPE NAVIER-STOKES ET LE SYSTEME DE STOKES INCOMPRESSIBLES. DES EXTENSIONS DE CES RESULTATS SONT OBTENUES POUR LES MODELES DISCRETS A COLLISIONS MULTIPLES. NOUS ADAPTONS LES MEMES THEOREMES QUE CI-DESSUS DANS LE MODELE DE CARLEMAN ET ON MONTRE QU'IL CONVERGE VERS L'EQUATION DE LA CHALEUR. DANS LA SECONDE PARTIE, NOUS PROUVONS LES LIMITES HYDRODYNAMIQUES DANS LES MODELES SEMI-DISCRETS A COLLISIONS MULTIPLES PUIS NOUS PRESENTONS UN NOUVEAU MODELE CINETIQUE SEMI-DISCRET LE MODELE H PROPOSE PAR J. HAMMOUCH, QUI EST UNE VARIANTE DU MODELE B.G.K ET UNE VERSION SIMPLIFIEE DU MODELE SEMIDISCRET A COLLISIONS MULTIPLES, NOUS MONTRONS QUE L'OPERATEUR LINEARISE DE BOLTZMANN ASSOCIE VERIFIE LES PROPRIETES ANALOGUES A CELLES DE L'OPERATEUR LINEARISE DU MODELE BGK ET ENFIN NOUS ETUDIONS LA LIMITE HYDRODYNAMIQUE
Book Synopsis Limite hydrodynamique des modeles discrets et semidiscrets de l'equation de Boltzmann by : Jillal Hammouch
Download or read book Limite hydrodynamique des modeles discrets et semidiscrets de l'equation de Boltzmann written by Jillal Hammouch and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lecture Notes on the Discretization of the Boltzmann Equation by : N. Bellomo
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.
Book Synopsis Hydrodynamic Limits of the Boltzmann Equation by : Laure Saint-Raymond
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.
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 Sur les modèles discrets de l'équation de Boltzmann avec termes linéaires et quadratiques by : Mitsuru Yamazaki
Download or read book Sur les modèles discrets de l'équation de Boltzmann avec termes linéaires et quadratiques written by Mitsuru Yamazaki and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis LIMITE HYDRODYNAMIQUE DES MODELES DE LA THEORIE CINETIQUE DES GAZ by : ABDELGHANI.. BELLOUQUID
Download or read book LIMITE HYDRODYNAMIQUE DES MODELES DE LA THEORIE CINETIQUE DES GAZ written by ABDELGHANI.. BELLOUQUID and published by . This book was released on 1995 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE THESE PRESENTE POUR UNE CLASSE D'EQUATIONS CINETIQUES, DES LIMITES ASYMPTOTIQUES CONDUISANT A DIVERSES EQUATIONS DE LA MECANIQUE DES FLUIDES INCOMPRESSIBLES, PARMI LESQUELLES: L'EQUATION DE NAVIER-STOKES, L'EQUATION DE NAVIER STOKES LINEARISEE, L'EQUATION D'EULER COMPRESSIBLES. ON CONSIDERE UNE FAMILLE F# SOLUTION DE L'EQUATION DE BOLTZMANN. ON PROUVE UNE REGULARITE UNIFORME DE LA SOLUTION ET DES RESULTATS DE CONVERGENCE FORTE VERS LA SOLUTION DE STOKES. ON ETUDIE LA LIMITE ASYMPTOTIQUE DU MODELE DE BGK. ON OBTIENT: I) LA CONVERGENCE VERS LA SOLUTION DE NAVIER STOKES INCOMPRESSIBLES (POUR TOUT TEMPS) LORSQUE LA FLUCTUATION DE LA DONNEE INITIALE EST PETITE ET LORSQUE LES NOMBRES DE MACH ET DE KNUDSEN TENDENT VERS 0 A LA MEME VITESSE. II) LA CONVERGENCE VERS LA SOLUTION DE STOKES LORSQUE LE NOMBRE DE MACH EST PETIT DEVANT LE NOMBRE DE KNUDSEN. III) LA CONVERGENCE VERS LA SOLUTION DE L'EQUATION D'EULER COMPRESSIBLE LORSQUE LA FLUCTUATION DE LA DONNEE INITIALE EST PETITE. IIII) LE COMPORTEMENT ASYMPTOTIQUE T DE LA SOLUTION. NOUS ETUDIONS LA LIMITE HYDRODYNAMIQUE DES MODELES DE KAC ET DE CARLEMANN
Book Synopsis Modeles a vitesses discretes et methodes numeriques pour l'equation de Boltzmann-BGK by : Luc Mieussens
Download or read book Modeles a vitesses discretes et methodes numeriques pour l'equation de Boltzmann-BGK written by Luc Mieussens and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modèles à vitesses discrètes et méthodes numériques pour l'équation de Boltzmann-BGK by : Luc Mieussens
Download or read book Modèles à vitesses discrètes et méthodes numériques pour l'équation de Boltzmann-BGK written by Luc Mieussens and published by . This book was released on 1999 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: LE BUT DE CE TRAVAIL EST DE PROPOSER DE NOUVEAUX MODELES NUMERIQUES POUR DES CALCULS D'ECOULEMENTS DE GAZ EN REGIMES RAREFIES OU TRANSITIONNELS REGIS PAR L'EQUATION DE BOLTZMANN-BGK. NOUS PROPOSONS TOUT D'ABORD UN NOUVEAU MODELE A VITESSES DISCRETES BASE SUR LE PRINCIPE DE MINIMISATION D'ENTROPIE. CE MODELE SATISFAIT LES LOIS DE CONSERVATION ET DE DISSIPATION D'ENTROPIE, ET NOUS PROUVONS QU'IL ADMET UNE UNIQUE SOLUTION. NOUS MONTRONS AUSSI UN RESULTAT DE CONVERGENCE DE CETTE SOLUTION DISCRETE VERS UNE SOLUTION DE L'EQUATION BGK, QUAND LE NOMBRE DE VITESSES TEND VERS L'INFINI. PAR AILLEURS, NOUS NOUS INTERESSONS AU DEVELOPPEMENT DE METHODES CONSERVATIVES ET ENTROPIQUES POUR LES ECOULEMENTS AXISYMETRIQUES. NOUS METTONS EN EVIDENCE LES RELATIONS ALGEBRIQUES QUE DOIT VERIFIER LA DISCRETISATION DES GRADIENTS EN VITESSE APPARAISSANT DANS L'OPERATEUR DE TRANSPORT. NOUS PROPOSONS ALORS PLUSIEURS MODELES VERIFIANT CES CONTRAINTES. GRACE A CES PROPRIETES, NOUS OBTENONS DES SCHEMAS NUMERIQUES ECONOMIQUES, ROBUSTES, ET CONVERGENTS. EN PARTICULIER, NOUS CONSTRUISONS UN SCHEMA IMPLICITE LINEARISE POUR CALCULER LES SOLUTIONS STATIONNAIRES DU MODELE BGK A VITESSES DISCRETES. CE SCHEMA EST LA BASE D'UN CODE DE CALCUL QUI PERMET DES SIMULATIONS D'ECOULEMENTS HYPERSONIQUES EN HAUTE ALTITUDE, EN GEOMETRIES 2D PLANES ET AXISYMETRIQUES. NOS RESULTATS SONT ANALYSES, ET COMPARES A CEUX DONNES PAR D'AUTRES METHODES.
Book Synopsis Advances in Kinetic Theory and Continuum Mechanics by : Renee Gatignol
Download or read book Advances in Kinetic Theory and Continuum Mechanics written by Renee Gatignol and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the symposium held on Friday 6 July 1990 at the University Pierre et Marie Curie (Paris VI), France, in honor of Professor Henri Cabannes on the occasion of his retirement. There were about one hundred participants from nine countries: Canada, France, Germany, Italy, Japan, Norway, Portugal, the Netherlands, and the USA. Many of his past students or his colleagues were among the participants. The twenty-six papers in this volume are written versions submitted by the authors and cover almost all the fields in which Professor Cabannes has actively worked for more than forty-five years. The papers are presented in four chapters: classical kinetic theory and fluid dynamics, discrete kinetic theory, applied fluid mechanics, and continuum mechanics. The editors would like to take this opportunity to thank the generous spon sors of the symposium: the University Pierre et Marie Curie, Commissariat a l'Energie Atomique (especially Academician R. Dautray and Dr. N. Camarcat) and Direction des Recherches et Etudes Techniques (especially Professor P. Lallemand). Many thanks are also due to all the participants for making the symposium a success. Finally, we thank Professor W. Beiglbock and his team at Springer-Verlag for producing this volume.
Book Synopsis Discrete Nonlinear Models of the Boltzmann Equation by : U. Sultangazin
Download or read book Discrete Nonlinear Models of the Boltzmann Equation written by U. Sultangazin and published by . This book was released on 1985 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis ETUDE DES SOLUTIONS DES EQUATIONS DE BOLTZMANN DISCRETES ET APPLICATIONS by : AMAH SENA.. D'ALMEIDA
Download or read book ETUDE DES SOLUTIONS DES EQUATIONS DE BOLTZMANN DISCRETES ET APPLICATIONS written by AMAH SENA.. D'ALMEIDA and published by . This book was released on 1995 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'ETUDE DE CERTAINS ECOULEMENTS DE GAZ RAREFIES NECESSITE LA RESOLUTION EFFECTIVE DE L'EQUATION DE BOLTZMANN. LA THEORIE CINETIQUE DISCRETE PERMET DE REMPLACER CETTE EQUATION PAR UN SYSTEME D'EQUATIONS AUX DERIVEES PARTIELLES PLUS SIMPLES. A L'OPPOSE DE LA THEORIE CINETIQUE CONTINUE, LES MODELES DISCRETS PEUVENT NE PAS AVOIR TOUTES LES VARIABLES MACROSCOPIQUES PHYSIQUES INDEPENDANTES OU AU CONTRAIRE AVOIR EN PLUS DES VARIABLES MACROSCOPIQUES NON PHYSIQUES. CES PROBLEMES SONT RESOLUS PAR UN CHOIX CONVENABLE DE MODELES. DE PLUS, LES DEFINITIONS USUELLES DE LA TEMPERATURE ET DE LA PRESSION NE SONT PAS VALABLES EN THEORIE DISCRETE. ON PROPOSE UNE DEFINITION DE LA TEMPERATURE ET DE LA PRESSION EN ACCORD AVEC LES PRINCIPES DE LA THERMODYNAMIQUE. UN PREALABLE A L'ETUDE DES ECOULEMENTS DE GAZ EST LA DETERMINATION DES CONDITIONS AUX LIMITES CORRECTES A IMPOSER SUR LEURS FRONTIERES. APRES AVOIR ECRIT LES CONDITIONS AUX LIMITES GENERALES ET DISCUTE DE QUELQUES CAS PARTICULIERS, ON ETUDIE L'EXISTENCE DES SOLUTIONS STATIONNAIRES DU PROBLEME AUX LIMITES RESULTANT DE LA MODELISATION DES PHENOMENES PHYSIQUES PAR DES MODELES DISCRETS. ENFIN, ON TRAITE LES PROBLEMES DE L'ECOULEMENT ENTRE DEUX PLAQUES PARALLELES, DE L'EVAPORATION ET DE LA CONDENSATION. CECI A PERMIS DE METTRE EN EVIDENCE ET D'EXPLIQUER CERTAINS PHENOMENES DE RAREFACTION PARFOIS DIFFICILES A ANALYSER AVEC L'EQUATION CLASSIQUE DE BOLTZMANN
Download or read book Mathematical Reviews written by and published by . This book was released on 2002 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sur l'utilisation de l'équation de Boltzmann en hydrodynamique relativiste by : Bernard Vignon
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:
Book Synopsis Multiscale Thermo-Dynamics by : Michal Pavelka
Download or read book Multiscale Thermo-Dynamics written by Michal Pavelka and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-08-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: One common feature of new emerging technologies is the fusion of the very small (nano) scale and the large scale engineering. The classical environment provided by single scale theories, as for instance by the classical hydrodynamics, is not anymore satisfactory. The main challenge is to keep the important details while still be able to keep the overall picture and simplicity. It is the thermodynamics that addresses this challenge. Our main reason for writing this book is to explain such general viewpoint of thermodynamics and to illustrate it on a very wide range of examples. Contents Levels of description Hamiltonian mechanics Irreversible evolution Reversible and irreversible evolution Multicomponent systems Contact geometry Appendix: Mathematical aspects
Book Synopsis Lattice-Gas Cellular Automata and Lattice Boltzmann Models by : Dieter A. Wolf-Gladrow
Download or read book Lattice-Gas Cellular Automata and Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow and published by Springer. This book was released on 2004-10-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.
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.
