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 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Annales Scientifiques de L cole Normale Sup rieure written by and published by . This book was released on 2006 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Annales scientifiques de l cole normale sup rieure written by Ecole normale supérieure (France) and published by . This book was released on 2006 with total page 1088 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Syst mes de lois de conservation et stabilit BV written by C. Christophe and published by . This book was released on 1996 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book CONTRIBUTIONS A L APPROCHE CINETIQUE DES SYSTEMES DE LOIS DE CONSERVATION HYPERBOLIQUES written by ALEXIS.. NASSEUR and published by . This book was released on 1999 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: LE SUJET DE CETTE THESE SE SITUE A LA FRONTIERE ENTRE LA THEORIE DES LOIS DE CONSERVATION ET LA THEORIE CINETIQUE DES GAZ. ON S'INTERESSE AU SYSTEME DE LA DYNAMIQUE DES GAZ ISENTROPIQUES AVEC = 3 QUI ADMET UNE BONNE FORMULATION CINETIQUE. UNE METHODE DE LOCALISATION EST DEVELOPPEE DANS CE CADRE POUR MONTRER DIFFERENTS RESULTATS. DANS UNE PREMIERE PARTIE, ON PRESENTE UN RESULTAT DE REGULARITE EN TEMPS DES SOLUTIONS POUR DES DONNEES INITIALES QUELCONQUES. PLUS PRECISEMENT, ON MONTRE QUE TOUTE SOLUTION UNIFORMEMENT BORNEE EST CONTINUE EN TEMPS A VALEURS DANS L 1 L O C(R) EN ESPACE, CE QUI EST NATUREL AU MOINS POUR RECUPERER LA DONNEE INITIALE DANS UN SENS FORT. RAPPELONS QUE CE RESULTAT N'ETAIT PAS CONNU AUPARAVANT. EN EFFET, LES SOLUTIONS DE CE SYSTEME POUR DES CONDITIONS INITIALES QUELCONQUES S'OBTIENNENT PAR COMPACITE PAR COMPENSATION. OR, CECI FOURNIT DES SOLUTIONS UNIQUEMENT DANS L (R + R). DANS LA DEUXIEME PARTIE NOUS PROUVONS LA CONVERGENCE D'UN SCHEMA CINETIQUE SEMI-DISCRET EN TEMPS. LA DIFFICULTE DE CE RESULTAT RESIDE DANS LE FAIT QU'IL APPARAIT DES OSCILLATIONS D'ORDRE T, LE PAS DE DISCRETISATION. CEPENDANT, GRACE A LA LOCALISATION, ON MONTRE QUE L'AMPLITUDE DE CES OSCILLATIONS TEND VERS ZERO, CE QUI PROUVE LA CONVERGENCE DU SCHEMA. ENFIN, DANS UNE TROISIEME PARTIE NOUS NOUS INTERESSONS A L'EXISTENCE ET AUX PROPRIETES DES PROFILS DE CHOCS ASSOCIES A CE SCHEMA SEMI-DISCRET. LA METHODE DE LOCALISATION UTILISEE POUR OBTENIR CES RESULTATS RAPPELLE LES METHODES DITES DE BLOW-UP UTILISEES POUR LES EQUATIONS ELLIPTIQUES ET PARABOLIQUES (ETUDES D'INTERFACES, D'EXPLOSIONS EN TEMPS FINI). CES TROIS PARTIES SONT SUIVIES DE QUATRE APPENDICES. NOUS MONTRONS NOTAMMENT LA CONVERGENCE DU SCHEMA CINETIQUE DANS LE CAS SCALAIRE SANS UTILISER LE METHODE DE LOCALISATION. LA PREUVE REPOSE SUR UNE ETUDE PRECISE DE LA VARIATION D'ENTROPIE.
Download or read book Contributions la commande pr dictive des syst mes de lois de conservation written by Van Thang Pham and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: La Commande prédictive ou Commande Optimale à Horizon Glissant (COHG) devient de plus en plus populaire dans de nombreuses applications pratiques en raison de ses avantages importants tels que la stabilisation et la prise en compte des contraintes. Elle a été bien étudiée pour des systèmes en dimension finie même dans le cas non linéaire. Cependant, son extension aux systèmes en dimension infinie n'a pas retenu beaucoup d'attention de la part des chercheurs. Ce travail de thèse apporte des contributions à l'application de cette approche aux systèmes de lois de conservation. Nous présentons tout d'abord une preuve de stabilité complète de la COHG pour certaines classes de systèmes en dimension infinie. Ce résultat est ensuite utilisé pour les systèmes hyperboliques 2x2 commandés aux frontières et appliqué à un problème de contrôle de canal d'irrigation. Nous proposons aussi l'extension de cette stratégie au cas de réseaux de systèmes hyperboliques 2x2 en cascade avec une application à un ensemble de canaux d'irrigation connectés. Nous étudions également les avantages de la COHG dans le contexte des systèmes non linéaires et semi-linéaires notamment vis-à-vis des chocs. Toutes les analyses théoriques sont validées par simulation afin d'illustrer l'efficacité de l'approche proposée.
Download or read book Hyperbolic Problems and Related Topics written by Ferruccio Colombini and published by . This book was released on 2003 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book S minaire quations aux d riv es partielles written by and published by . This book was released on 2004 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in the Theory of Shock Waves written by Heinrich Freistühler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. Joel Smoller and Blake Temple have established classes of shock wave solutions to the Einstein Euler equations of general relativity; indeed, the mathematical and physical con sequences of these examples constitute a whole new area of research. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. Due to the intersection of point and essential spectrum, such an ap proach had for a long time seemed out of reach. The stability problem for "in viscid" shock waves has been given a novel, clear and concise treatment by Guy Metivier and coworkers through the use of paradifferential calculus. The L 1 semi group theory for systems of conservation laws, itself still a recent development, has been considerably condensed by the introduction of new distance functionals through Tai-Ping Liu and collaborators; these functionals compare solutions to different data by direct reference to their wave structure. The fundamental prop erties of systems with relaxation have found a systematic description through the papers of Wen-An Yong; for shock waves, this means a first general theorem on the existence of corresponding profiles. The five articles of this book reflect the above developments.
Download or read book Boundary Layer Theory written by Hermann Schlichting (Deceased) and published by Springer. This book was released on 2016-10-04 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.
Download or read book Control and Nonlinearity written by Jean-Michel Coron and published by American Mathematical Soc.. This book was released on 2007 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is put on specific phenomena due to nonlinearities. In particular, many examples are given where nonlinearities turn out to be essential to get controllability or stabilization. Various methods are presented to study the controllability or to construct stabilizing feedback laws. The power of these methods is illustrated by numerous examples coming from such areas as celestial mechanics, fluid mechanics, and quantum mechanics. The book is addressed to graduate students in mathematics or control theory, and to mathematicians or engineers with an interest in nonlinear control systems governed by ordinary or partial differential equations.
Download or read book Symmetry written by Hermann Weyl and published by Princeton University Press. This book was released on 2015-07-06 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations—as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.
Download or read book Bibliography and Discussion of Flood routing Methods and Unsteady Flow in Channels written by Vujica M. Yevjevich and published by . This book was released on 1964 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Flood Routing Methods written by Vujica M. Yevjevich and published by . This book was released on 1960 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Faecal Sludge Management written by Linda Strande and published by IWA Publishing. This book was released on 2014-08-15 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is estimated that literally billions of residents in urban and peri-urban areas of Africa, Asia, and Latin America are served by onsite sanitation systems (e.g. various types of latrines and septic tanks). Until recently, the management of faecal sludge from these onsite systems has been grossly neglected, partially as a result of them being considered temporary solutions until sewer-based systems could be implemented. However, the perception of onsite or decentralized sanitation technologies for urban areas is gradually changing, and is increasingly being considered as long-term, sustainable options in urban areas, especially in low- and middle-income countries that lack sewer infrastructures. This is the first book dedicated to faecal sludge management. It compiles the current state of knowledge of the rapidly evolving field of faecal sludge management, and presents an integrated approach that includes technology, management, and planning based on Sandecs 20 years of experience in the field. Faecal Sludge Management: Systems Approach for Implementation and Operation addresses the organization of the entire faecal sludge management service chain, from the collection and transport of sludge, and the current state of knowledge of treatment options, to the final end use or disposal of treated sludge. The book also presents important factors to consider when evaluating and upscaling new treatment technology options. The book is designed for undergraduate and graduate students, and engineers and practitioners in the field who have some basic knowledge of environmental and/or wastewater engineering.
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.
