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Book Stabilit   des chocs non classiques pour des lois de conservation non convexes

Download or read book Stabilit des chocs non classiques pour des lois de conservation non convexes written by Eva Kardhashi and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: En premier lieu, nous étudions l'existence et les propriétés des ondes de choc réalisées comme limite d'une régularisation linéaire de type diffusion-dispersion pour la classe des lois de conservation hyperbolique avec un flux générique non convexe ayant un nombre arbitraire de points d'inflexion. Nous introduisons la construction d'une famille de fonctions cinétiques, basée sur la généralisation de la règle de surface égale de Maxwell. Notre résultat principal est une caractérisation (par une fonction cinétique) de tous les chocs admissibles : pour chaque état de gauche et chaque vitesse de choc, nous montrons qu'il existe un choc non classique avec des oscillations arbitraires. De plus, nous énonçons les conditions dans lesquelles une discontinuité est admissible et nous décrivons la famille de toutes les solutions au problème de Riemann. Ce travail constitue une extension des travaux effectués par Bedjaoui, Chalons, Coquel et LeFloch concernant les gaz isentropiques avec une loi d'état de Van der Walls couvrant le cas de deux points d'inflexion. Ensuite, nous nous intéressons à l'existence d'une classe de solutions non classiques au problème de valeur initiale pour les systèmes hyperboliques de lois de conservation non linéaires dans une variable spatiale. Les solutions considérées présentent un modèle de "splitting/merging" constitué d'ondes classiques et non classiques qui interagissent ensemble. Notre analyse s'appuie sur un nouveau solveur de Riemann non classique qui est motivé par une fonction cinétique et par un critère de nucléation qui choisit entre le régime classique et non classique. Toutes les solutions satisfont une seule inégalité d'entropie associée à une paire entropie-flux d'entropie donnée. La preuve d'existence de la stabilité non linéaire s'appuie sur l'introduction de nouvelles fonctionnelles qui mesurent de façon appropriée la variation totale et le potentiel d'interaction des ondes non classiques et classiques. Ce travail est une généralisation des travaux effectués par Laforest- LeFloch qui ont déjà établi l'existence de solutions d'entropie non classiques pour les équations scalaires.

Book Stabilit   des profils de chocs dans les syst  mes de lois de conservation

Download or read book Stabilit des profils de chocs dans les syst mes de lois de conservation written by Pauline Lafitte-Godillon and published by . This book was released on 2001 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: On s'intéresse dans cette thèse à l'étude théorique de la stabilité des profils de chocs pour différentes approximations de systèmes de lois de conservation hyperboliques mono-dimensionnels. On considère dans la première partie des profils continus pour la relaxation semi-linéaire et pour des équations avec effets diffusifs et dispersifs. On obtient des conditions nécessaires de stabilité spectrale à l'aide de la théorie de la fonction d'Evans et plus précisément du lemme de l'écart dû à R. Gardner et K. Zumbrun. Pour la relaxation semi-linéaire, on fournit une illustration de la nécessité de la condition obtenue pour un 2-choc de Lax dans un système à deux lois de conservation en exhibant un profil de choc instable, simulé numériquement par un schéma de pas fractionnaires. On montre également que la fonction d'Evans associée à la relaxation semi-linéaire tend vers la fonction d'Evans associée à une viscosité scalaire quand la vitesse de relaxation tend vers l'infini. La deuxième partie est consacrée aux profils de chocs stationnaires discrets. On montre une condition de stabilité spectrale pour le schéma de Lax-Wendroff en adaptant les théories utilisées dans le cadre continu. Enfin, on étudie la fonction de Green discrète associée au schéma de Lax-Friedrichs modifié et on obtient des estimations à la manière de celles obtenues par K. Zumbrun et P. Howard pour l'approximation par viscosité.

Book Publications du Laboratoire Jacques Louis Lions

Download or read book Publications du Laboratoire Jacques Louis Lions written by and published by . This book was released on 2007 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Potentiel d interaction d  croissasnt pour les lois de conservation non convexes

Download or read book Potentiel d interaction d croissasnt pour les lois de conservation non convexes written by Jocelyn Pellerin and published by . This book was released on 2011 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Non Linear Field Theories of Mechanics

Download or read book The Non Linear Field Theories of Mechanics written by C. Truesdell and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by S. Antman who describes the monograph`s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also has greatly contributed to the unification and standardization of the concepts, terms and notations in the field.

Book Libidinal Economy

Download or read book Libidinal Economy written by Jean-Francois Lyotard and published by A&C Black. This book was released on 2004-01-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is regarded as the most important response to the philosophies of desire, as expounded by thinkers such as de Sade, Nietzsche, Bataille, Foucault and Deleuze and Guattari. It is a major work not only of philosophy, but of sexual politics, semiotics and literary theory, that signals the passage to postmodern philosophy.

Book Italian Mathematics Between the Two World Wars

Download or read book Italian Mathematics Between the Two World Wars written by Angelo Guerraggio and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes Italian mathematics in the period between the two World Wars. It analyzes the development by focusing on both the interior and the external influences. Italian mathematics in that period was shaped by a colorful array of strong personalities who concentrated their efforts on a select number of fields and won international recognition and respect in an incredibly short time. Consequently, Italy was considered a third mathematical power after France and Germany.

Book Partial Differential Equations and Mathematical Physics

Download or read book Partial Differential Equations and Mathematical Physics written by Lars Hörmander and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: On March 17-19 and May 19-21,1995, analysis seminars were organized jointly at the universities of Copenhagen and Lund, under the heading "Danish-Swedish Analysis Seminar". The main topic was partial differen tial equations and related problems of mathematical physics. The lectures given are presented in this volume, some as short abstracts and some as quite complete expositions or survey papers. They span over a large vari ety of topics. The most frequently occurring theme is the use of microlocal analysis which is now important also in the study of non-linear differential equations although it originated entirely within the linear theory. Perhaps it is less surprising that microlocal analysis has proved to be useful in the study of mathematical problems of classical quantum mechanics, for it re ceived a substantial input of ideas from that field. The scientific committee for the invitation of speakers consisted of Gerd Grubb in Copenhagen, Lars Hormander and Anders MeHn in Lund, and Jo hannes Sjostrand in Paris. Lars Hormander and Anders Melin have edited the proceedings. They were hosts of the seminar days in Lund while Gerd Grubb was the host in Copenhagen. Financial support was obtained from the mathematics departments in Copenhagen and Lund, CNRS in France, the Danish and Swedish Na tional Research Councils, Gustaf Sigurd Magnuson's foundation at the Royal Swedish Academy of Sciences, and the Wenner-Gren foundation in Stockholm. We want to thank all these organisations for their support

Book Rendiconti del Seminario matematico

Download or read book Rendiconti del Seminario matematico written by Seminario matematico (Turin, Italy) and published by . This book was released on 1994 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book New Methods of Celestial Mechanics

Download or read book New Methods of Celestial Mechanics written by Henri Poincaré and published by . This book was released on 1967 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Quantum Mechanics  Volume 3

    Book Details:
  • Author : Claude Cohen-Tannoudji
  • Publisher : John Wiley & Sons
  • Release : 2019-12-16
  • ISBN : 3527345558
  • Pages : 790 pages

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 Dictionary of French and English  English and French

Download or read book Dictionary of French and English English and French written by John Bellows and published by . This book was released on 1911 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Physics on Manifolds

    Book Details:
  • Author : M. Flato
  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • ISBN : 9401119384
  • Pages : 365 pages

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 Dictionary of Building and Civil Engineering

Download or read book Dictionary of Building and Civil Engineering written by Don Montague and published by Taylor & Francis. This book was released on 1996 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dual-language dictionary lists over 20,000 specialist terms in both French and English, covering architecture, building, engineering and property terms. It meets the needs of all building professionals working on projects overseas. It has been comprehensively researched and compiled to provide an invaluable reference source in an increasingly European marketplace.

Book Artificial Intelligence in Society

Download or read book Artificial Intelligence in Society written by OECD and published by OECD Publishing. This book was released on 2019-06-11 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The artificial intelligence (AI) landscape has evolved significantly from 1950 when Alan Turing first posed the question of whether machines can think. Today, AI is transforming societies and economies. It promises to generate productivity gains, improve well-being and help address global challenges, such as climate change, resource scarcity and health crises.

Book Statistical Inference for Ergodic Diffusion Processes

Download or read book Statistical Inference for Ergodic Diffusion Processes written by Yury A. Kutoyants and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book in inference for stochastic processes from a statistical, rather than a probabilistic, perspective. It provides a systematic exposition of theoretical results from over ten years of mathematical literature and presents, for the first time in book form, many new techniques and approaches.

Book Precision Measurement and Fundamental Constants  Proceedings

Download or read book Precision Measurement and Fundamental Constants Proceedings written by United States. National Bureau of Standards and published by . This book was released on 1971 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: