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Author: Jaouad Nejdi
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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Book Description
Author: Jaouad Nejdi
Publisher:
ISBN:
Category :
Languages : fr
Pages :
Get Book Here
Book Description
Author: Jaouad Nejdi
Publisher:
ISBN:
Category :
Languages : fr
Pages : 96
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Book Description
Le but de ce travail est d’étudier les propriétés mathématiques et numériques d'une classe de problèmes aux limites issus de la mécanique des fluides. Dans une première partie on présente la modélisation mathématique du problème mécanique. Ceci permet de poser clairement les hypothèses mathématiques qui seront utilisées par la suite ainsi que leurs liens avec les conditions imposées par la nature du phénomène mécanique. Il s'agit du transfert turbulent d'un scalaire passif (dans notre cas la température) dans un écoulement de couche limite se développant sur une plaque mince. On s’intéresse aux équations vérifiées par les grandeurs moyennes. Le problème aux limites obtenus est alors de type elliptique dégénéré dans un domaine du plan. On le traite alors dans la deuxième partie comme étant une limite de problèmes elliptiques. On est ainsi ramené a un problème de perturbation d'une équation elliptique avec des conditions sur le bord mixtes. Le passage a la limite exige une régularité de la solution du problème perturbé. On la montre dans h2 en se basant sur les travaux de P.Grisvard. Ceci nous permet alors de passer a la limite et grâce a des estimations a priori, on montre l'existence et l’unicité d'une solution dans h1 du problème elliptique dégénéré. Enfin dans la troisième partie, on s’intéresse aux schémas numériques de résolution du problème considéré à l'aide de la méthode des volumes finis. On donne des résultats de stabilité et des estimations de l'erreur pour un schéma centre, un schéma upwind et un schéma euler-volumes finis puis quelques exemples de simulations sont donnés.
Author: Serge Colombo
Publisher:
ISBN:
Category : Cauchy problem
Languages : fr
Pages : 206
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Author: Amira Obeid
Publisher:
ISBN:
Category :
Languages : fr
Pages : 141
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L'objectif de ce travail est d'établir l'existence et l'unicité de la solution pour une équation elliptique non linéaire dégénérée, posée dans un domaine non borné. Dans un premier temps, on mène notre étude dans un domaine borné et ceci en tronquant le domaine infini. Dans la première partie, on introduit le problème variationnel associé qui se traduit en terme d'une fonctionnelle non coercive à minimiser. Ainsi, on associe au problème de minimisation un problème dual puis on montre pour ce dernier l'existence et l'unicité de la solution. On prouve par l'extraction d'une sous-suite minimisante l'existence d'une solution liée à celle du pro-blème dual. Dans la deuxième partie, on définit un problème relaxé ayant le même infimum que le problème initial et on prouve l'existence d'une solution pour le problème relaxé. Les résultats de la première partie sont étendus au cas non borné. Enfin on estime l'erreur de tron-cature entre les solutions du problème dual dans le cas borné et non borné.
Author: Herbert Amann
Publisher: CRC Press
ISBN: 9780582317086
Category : Mathematics
Languages : en
Pages : 212
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Book Description
The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics general evolution problems ocalculus of variations homogenization modeling numerical analysis The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.
Author: V. Babelon
Publisher: Springer Science & Business Media
ISBN: 1461203155
Category : Mathematics
Languages : en
Pages : 368
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Book Description
This book constitutes the proceedings of the International Conference on Integrable Systems in memory of J.-L. Verdier. It was held on July 1-5, 1991 at the Centre International de Recherches Mathematiques (C.I.R.M.) at Luminy, near Marseille (France). This collection of articles, covering many aspects of the theory of integrable Hamiltonian systems, both finite and infinite-dimensional, with an emphasis on the algebro-geometric meth ods, is published here as a tribute to Verdier who had planned this confer ence before his death in 1989 and whose active involvement with this topic brought integrable systems to the fore as a subject for active research in France. The death of Verdier and his wife on August 25, 1989, in a car accident near their country house, was a shock to all of us who were acquainted with them, and was very deeply felt in the mathematics community. We knew of no better way to honor Verdier's memory than to proceed with both the School on Integrable Systems at the C.I.M.P.A. (Centre International de Mathematiques Pures et Appliquees in Nice), and the Conference on the same theme that was to follow it, as he himself had planned them.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 780
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Author: Yves Achdou
Publisher: Springer Nature
ISBN: 3030598373
Category : Mathematics
Languages : en
Pages : 316
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Book Description
This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M. Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibria in the strategic interaction of a large number of agents. Besides giving an accessible presentation of the main features of mean-field game theory, the volume offers an overview of recent developments which explore several important directions: from partial differential equations to stochastic analysis, from the calculus of variations to modeling and aspects related to numerical methods. Arising from the CIME Summer School "Mean Field Games" held in Cetraro in 2019, this book collects together lecture notes prepared by Y. Achdou (with M. Laurière), P. Cardaliaguet, F. Delarue, A. Porretta and F. Santambrogio. These notes will be valuable for researchers and advanced graduate students who wish to approach this theory and explore its connections with several different fields in mathematics.
Author: Claude Cohen-Tannoudji
Publisher: John Wiley & Sons
ISBN: 3527345558
Category : Science
Languages : en
Pages : 790
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Book Description
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.
Author: H. A. Thurston
Publisher: Courier Corporation
ISBN: 0486154947
Category : Mathematics
Languages : en
Pages : 146
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Book Description
This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.
