Download or read book Contributions a l etude mathematique des equations cinetiques written by Eric Ringeisen and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Contribution a l etude mathematique des equations de Boltzmann et de Landau en theorie cinetique des gaz et des plasmas written by Cédric Villani and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Etude math matique et num rique des quations cin tiques de la physique written by Laurent Desvillettes and published by . This book was released on 1990 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE THESE A POUR OBJET L'ETUDE MATHEMATIQUE DE CERTAINS PROBLEMES LIES A LA THEORIE CINETIQUE DES GAZ ET DES PLASMAS. NOUS NOUS INTERESSONS TOUT D'ABORD AUX PROBLEMES DE VITESSE DE CONVERGENCE VERS L'EQUILIBRE POUR UN GAZ MODELISE PAR L'EQUATION DE BOLTZMANN OU DE KAC, OU POUR UN PLASMA DECRIT GRACE A L'EQUATION DE FOKKER-PLANCK-LANDAU. NOUS DONNONS UNE MINORATION DE LA DISSIPATION D'ENTROPIE POUR CHACUNE DE CES EQUATIONS PAR LA DISTANCE A L'EQUILIBRE, DANS LE CAS DE DENSITES BORNEES INFERIEUREMENT. ENSUITE, NOUS MONTRONS MATHEMATIQUEMENT QUE LA CONVERGENCE VERS L'EQUILIBRE A EFFECTIVEMENT LIEU POUR LES SOLUTIONS RENORMALISEES DE L'EQUATION DE BOLTZMANN DANS UN DOMAINE BORNE AVEC DES CONDITIONS DE REFLEXION SPECULAIRE SUR LES BORDS, ET NOUS DONNONS LA FORME DE LA LIMITE. NOUS MONTRONS EGALEMENT CE RESULTAT DANS LE CAS D'UN PLASMA VERIFIANT L'EQUATION DE VLASOSV-POISSON-BOLTZMANN, CE QUI AMENE A CONSIDERER UNE EQUATION ELLIPTIQUE NON LINEAIRE ET NON LOCALE, POUR LAQUELLE NOUS PROUVONS L'EXISTENCE ET L'UNICITE D'UNE SOLUTION REGULIERE. NOUS NOUS CONSACRONS ENSUITE A L'ETUDE DE LA VALIDITE DE LA METHODE NUMERIQUE DE SPLITTING POUR LES EQUATIONS DU TRANSFERT RADIATIF ET DE VLASOV-MAXWELL. ENFIN, NOUS DONNONS UNE METHODE FORMELLE PERMETTANT DE PASSER DU NOYAU DE BOLTZMANN A CELUI DE FOKKER-PLANCK-LANDAU, ET NOUS PROUVONS SA VALIDITE DANS LE CADRE DES EQUATIONS LINEARISEES. NOUS CONCLUSONS EN ETENDANT LE RESULTAT PRECEDENT A L'EQUATION DE KAC

Download or read book Entropy Methods for the Boltzmann Equation written by Fraydoun Rezakhanlou and published by Springer. This book was released on 2007-12-22 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring updated versions of two research courses held at the Centre Émile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields. It also discusses four conjectures for the kinetic behavior of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.

Download or read book Etude mathematique et numerique des equations cinetiques de la physique written by Laurent Desvillettes and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Etude math matique des quations aux d riv es partielles cin tiques et hyperboliques de la physique written by Laurent Boudin and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Interacting Multiagent Systems written by Lorenzo Pareschi and published by Oxford University Press, USA. This book was released on 2014 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modelling of systems constituted by many agents using kinetic theory is a new tool that has proved effective in predicting the emergence of collective behaviours and self-organization. This idea has been applied by the authors to various problems which range from sociology to economics and life sciences.

Download or read book Contribution a l etude mathematique de certains modeles cinetiques poses dans tout l espace written by François Bouchut and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book CONTRIBUTION A L ETUDE MATHEMATIQUE DES EQUATIONS DE BOLTZMANN ET DE LANDAU EN THEORIE CINETIQUE DES GAZ ET DES PLASMAS written by Cédric Villani and published by . This book was released on 1998 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: NOUS ETUDIONS DES EQUATIONS CINETIQUES DE LA FORME F/T + V . *#XF = Q(F,F), T0, X ,R#N, V , R#N, QUI DECRIVENT L'EVOLUTION D'UN GAZ OU D'UN PLASMA DANS LEQUEL LES PARTICULES SUBISSENT DES COLLISIONS MODELISEES PAR L'OPERATEUR 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 PREMIERES PARTIES DE CETTE THESE CONCERNENT LES EQUATIONS HOMOGENES (INDEPENDANTES DE X) #TF = Q(F,F). ON INSISTE PARTICULIEREMENT SUR DEUX POINTS : LES COLLISIONS RASANTES ET LA DISSIPATION D'ENTROPIE. DANS LA PREMIERE PARTIE, ON ETUDIE LE PROBLEME DE CAUCHY ASSOCIE AUX EQUATIONS DE BOLTZMANN ET DE LANDAU HOMOGENES (POUR DES SECTIONS EFFICACES REALISTES ET EVENTUELLEMENT SINGULIERES), DES PROPRIETES DE REGULARITE DES SOLUTIONS, AINSI QUE L'ASYMPTOTIQUE DES COLLISIONS RASANTES QUI PERMET DE PASSER D'UNE EQUATION A L'AUTRE. LA DEUXIEME PARTIE EST CONSACREE AU CAS PARTICULIER DES MOLECULES MAXWELLIENNES. SOUS CETTE HYPOTHESE, ON EFFECTUE UNE ETUDE DETAILLEE DU PROBLEME DE CAUCHY ET DU RETOUR VERS L'EQUILIBRE, AINSI QUE DES LIENS ENTRE THEORIE CINETIQUE ET THEORIE DE L'INFORMATION. DANS LA TROISIEME PARTIE, ON UTILISE LES RESULTATS PRECEDENTS POUR OBTENIR DES ESTIMATIONS EXPLICITES SUR LA VITESSE DE RETOUR VERS L'EQUILIBRE DANS LE CAS GENERAL. DANS LA QUATRIEME PARTIE, ON OBTIENT DES RESULTATS PARTIELS SUR LE PROBLEME DE CAUCHY POUR L'EQUATION DE LANDAU INHOMOGENE, ET QUELQUES ESTIMATIONS NOUVELLES SUR L'EQUATION DE BOLTZMANN INHOMOGENE. ENFIN, DANS LA CINQUIEME PARTIE, ON ETABLIT DIVERSES FORMES CONSERVATIVES DE L'OPERATEUR DE BOLTZMANN, AVEC APPLICATION A L'ASYMPTOTIQUE DES COLLISIONS RASANTES.

Download or read book Topics in Optimal Transportation written by Cédric Villani and published by American Mathematical Soc.. This book was released on 2021-08-25 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive introduction to the theory of mass transportation with its many—and sometimes unexpected—applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.

Download or read book Contribution l tude analytique et num rique de certaines quations int grales de la physique math matique en relation avec la th orie des fonctions al atoires written by Philippe Formery and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Modelling and Numerics of Kinetic Dissipative Systems written by Lorenzo Pareschi and published by Nova Publishers. This book was released on 2006 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is divided into three parts, which contain respectively recent results in the kinetic theory of granular gases, kinetic theory of chemically reacting gases, and numerical methods for kinetic systems. Part I is devoted to theoretical aspects of granular gases. Part II presents recent results on modelling of kinetic systems in which molecules can undergo binary collisions in presence of chemical reactions and/or in presence of quantum effects. Part III contains several contributions related to the construction of suitable numerical methods and simulations for granular gases.

Download or read book Nonlinear PDE s in Condensed Matter and Reactive Flows written by Henri Berestycki and published by Springer Science & Business Media. This book was released on 2002-11-30 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media.

Download or read book Turbulent Times in Mathematics written by Elaine McKinnon Riehm and published by American Mathematical Soc.. This book was released on 2011-11-03 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the renown of the Fields Medals, J.C. Fields has been until now a rather obscure figure, and recovering details about his professional activities and personal life was not at all a simple task. This work is a triumph of persistence with far-flung archival and documentary sources, and provides a rich non-mathematical portrait of the man in all aspects of his life and career. Highly readable and replete with period detail, the book sheds useful light on the mathematical and scientific world of Fields' time, and is sure to remain the definitive biographical study. --Tom Archibald, Simon Fraser University, Burnaby, BC, Canada Drawing on a wide array of archival sources, Riehm and Hoffman provide a vivid account of Fields' life and his part in the founding of the highest award in mathematics. Filled with intriguing detail--from a childhood on the shores of Lake Ontario, through the mathematics seminars of late 19th century Berlin, to the post-WW1 years of the fragmented international mathematical community--it is a richly textured story engagingly and sympathetically told. Read this book and you will understand why Fields never wanted the medal to bear his name and yet why, quite rightly, it does. --June Barrow-Green, Open University, Milton Keynes, United Kingdom One of the little-known effects of World War I was the collapse of international scientific cooperation. In mathematics, the discord continued after the war's end and after the Treaty of Versailles had been signed in 1919. Many distinguished scientists were involved in the war and its aftermath, and from their letters and papers, now almost a hundred years old, we learn of their anguished wartime views and their struggles afterwards either to prolong the schism in mathematics or to end it. J.C. Fields, the foremost Canadian mathematician of his time, was educated in Canada, the United States, and Germany, and championed an international spirit of cooperation to further the frontiers of mathematics. It was during the awkward post-war period that J.C. Fields established the Fields Medal, an international prize for outstanding research, which soon became the highest award in mathematics. J.C. Fields intended it to be an international medal, and a glance at the varying backgrounds of the fifty-two Fields medallists shows it to be so. Who was Fields? What carried him from Hamilton, Canada West, where he was born in 1863, into the middle of this turbulent era of international scientific politics? A modest mathematician, he was an unassuming man. This biography outlines Fields' life and times and the difficult circumstances in which he created the Fields Medal. It is the first such published study.

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.

Download or read book Proceedings WASCOM 2003 written by Roberto Monaco and published by World Scientific. This book was released on 2004 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains about 20 invited papers and 40 contributed papers in the research areas of theoretical continuum mechanics, kinetic theory and numerical applications of continuum mechanics. Collectively these papers give a good overview of the activities and developments in these fields in the last few years. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences. Contents: Chaos in Some Linear Kinetic Models (J Banasiak); Inverse Problems in Photon Transport. Part I: Determination of Physical and Geometrical Features of an Interstellar Cloud (A Belleni-Morante et al.); Inverse Problems in Photon Transport. Part II: Features of a Source Inside an Interstellar Cloud (A Belleni-Morante & R Riganti); The Riemann Problem for a Binary Non-Reacting Mixture of Euler Fluids (F Brini & T Ruggeri); Rate of Convergence toward the Equilibrium in Degenerate Settings (L Desvillettes & C Villani); Asymptotic and Other Properties of Positive Definite Integral Measures for Nonlinear Diffusion (J N Flavin); Thermocapillary Fluid and Adiabatic Waves Near its Critical Point (H Gouin); Constitutive Models for Atactic Elastomers (C O Horgan & G Saccomandi); Considerations about the Gibbs Paradox (I Mller); Transport Coefficients in Stochastic Models of the Revised Enskog and Square-Well Kinetic Theories (J Polewczak & G Stell); Some Recent Mathematical Results in Mixtures Theory of Euler Fluids (T Ruggeri); From Kinetic Systems to Diffusion Equations (F Salvarani & J L Vizquez); Non-Boussinesq Convection in Porous Media (B Straughan); and other papers. Readership: Researchers, academics and graduate students working in the fields of continuum mechanics, wave propagation, stability in fluids, kinetic theory and computational fluid dynamics."

Download or read book Stochastic Dynamics Out of Equilibrium written by Giambattista Giacomin and published by Springer. This book was released on 2019-06-30 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stemming from the IHP trimester "Stochastic Dynamics Out of Equilibrium", this collection of contributions focuses on aspects of nonequilibrium dynamics and its ongoing developments. It is common practice in statistical mechanics to use models of large interacting assemblies governed by stochastic dynamics. In this context "equilibrium" is understood as stochastically (time) reversible dynamics with respect to a prescribed Gibbs measure. Nonequilibrium dynamics correspond on the other hand to irreversible evolutions, where fluxes appear in physical systems, and steady-state measures are unknown. The trimester, held at the Institut Henri Poincaré (IHP) in Paris from April to July 2017, comprised various events relating to three domains (i) transport in non-equilibrium statistical mechanics; (ii) the design of more efficient simulation methods; (iii) life sciences. It brought together physicists, mathematicians from many domains, computer scientists, as well as researchers working at the interface between biology, physics and mathematics. The present volume is indispensable reading for researchers and Ph.D. students working in such areas.