Download or read book Contributions l tude des singularit s des solutions des quations aux d riv es partielles non lin aires written by Éric Leichtnam and published by . This book was released on 1987 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce travail est composé de quatre articles.Dans le premier nous définissons de manière intrinsèque le concept de front d'onde d'une sous-variété de régularité Höldérienne ou Sobolev limitée. Puis nous utilisons cette notion pour étudier les singularités microlocales de solutions d'équations aux dérivées partielles non linéaires dans plusieurs situations: équations du premier ordre, de Monge-Ampère, système de Pfaff.Dans le second article, nous étudions le problème d'interaction des singularités pour un opérateur pseudodifférentiel à symbole principal réel et dont la variété caractéristique est la réunion de deux hyper surfaces lisses d'interaction non involutive.Dans le troisième article, nous construisons pour un opérateur quasi-linéaire holomorphe des solutions holomorphes ramifiées autour d'une hypersurface complexe lisse caractéristique.Dans le quatrième article, nous étudions la régularité microlocale des solutions des problèmes de Dirichlet non linéaires non caractéristiques d'ordre deux à bord peu régulier.
Download or read book ESPACES DE BESOV ET PROPAGATION DES SINGULARITES DES SOLUTIONS NON BORNEES D EQUATIONS AUX DERIVEES PARTIELLES NON LINEAIRES written by Abdelkader Benmohamed and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ETUDE DE LA PROPAGATION DES SINGULARITES MICROLOCALES DES SOLUTIONS D'EQUATIONS AUX DERIVEES PARTIELLES NON LINEAIRES, LORSQUE CES SOLUTIONS SONT NON BORNEES ET APPARTIENNENT A DES ESPACES DE BESOV.NOUS MONTRONS QUE LA COMPOSITION F(U) OU U APPARTIENT LOCALEMENT A DES ESPACES DE BESOV QUI NE SONT PAS DES ALGEBRES ET F APPARTIENT A UNE CERTAINE CLASSE DE FONCTIONS, EST LOCALEMENT DANS UN AUTRE ESPACE DE BESOV; ENSUITE, NOUS DEVELOPPONS UN CALCUL SYMBOLIQUE CONCERNANT LES OPERATEURS PARADIFFERENTIELS DONT LES SYMBOLES NE SONT, A PRIORI, PAS BORNES; CE QUI NOUS PERMETTRA PAR LA SUITE DE LINEARISER CES EQUATIONS AU SENS DE BONY ET DE MONTRER QUE L'ON PEUT OBTENIR DES RESULTATS DE PROPAGATION DES SINGULARITES MICROLOCALES DE CES SOLUTIONS
Download or read book Etude Qualitative de la Formation Des Singularit s Pour Certaines quations Aux D riv es Partielles Non Lin aires written by Christophe Antonini and published by . This book was released on 2001 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, I study two nonlinear evolution partial differential equations whose solutions may blow-up in finite time. In the first part, I consider the nonlinear Schrödinger equation with critical exponent in the space periodic case and obtain a lower bound for the blow-up rate under the condition of minimal mass. In parts 2 and 3, I study a semi-linear wave equation. In part 2 we obtain optimal bounds on the blow-up rate, and in part 3 I study the asymptotic behaviour to solutions of this equation.
Download or read book Singularit s de minimax et solutions faibles d quations aux deriv es partielles written by Tatiana Joukovskaïa and published by . This book was released on 1994 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: LA RECHERCHE DES SOLUTIONS D'UNE EQUATION AUX DERIVEES PARTIELLES NON LINEAIRE SUR UNE VARIETE PEUT SE FAIRE EN DEUX TEMPS: ON OBTIENT D'ABORD DES SOLUTIONS GEOMETRIQUES, SOUS-VARIETES D'UN ESPACE DE JETS D'ORDRE APPROPRIE DE FONCTIONS REELLES SUR LA VARIETE ; ENSUITE, ON REGARDE LES PROJECTIONS DE CES SOLUTIONS GEOMETRIQUES DANS L'ESPACE DES JETS D'ORDRE ZERO (FRONTS D'ONDE, OU DIAGRAMMES DE CERF). IL PEUT ARRIVER QUE L'ON CHERCHE UNE VRAIE FONCTION REELLE ALORS QUE LE DIAGRAMME DE CERF OBTENU EST LE GRAPHE D'UNE FONCTION MULTIFORME ; M. CHAPERON A REMARQUE QUE, SI L'EQUATION EST DU PREMIER ORDRE, IL EST SOUVENT POSSIBLE DE CONSTRUIRE UNE SECTION DE CE DIAGRAMME DE CERF QUI EST UNE VRAIE FONCTION LIPSCHITZIENNE, SOLUTION FAIBLE GLOBALE DE L'EQUATION. CETTE SOLUTION ETANT CONSTRUITE COMME MINIMAX D'UNE FAMILLE GENERATRICE QUADRATIQUE A L'INFINI, L'ETUDE DES DISONTINUITES (CHOCS) DE SA DIFFERENTIELLE EST UN PROBLEME DE THEORIE DES SINGULARITES, QUI FAIT L'OBJET DE CETTE THESE. APRES DES RAPPELS SUR LES DEFORMATIONS VERSELLES (1), LE 2 CONTIENT LE PRINCIPAL RESULTAT THEORIQUE (THEOREME 2.11), ETABLISSANT EN PARTICULIER QUE LES SINGULARITES DE CES FONCTIONS MINIMAX SONT EN GENERAL, A DIFFEOMORPHISME LOCAL PRES, SEMI-ALGEBRIQUES ; SON COROLLAIRE 2.12 PERMET, DANS LE 3, DE CLASSIFIER CES SINGULARITES GENERIQUES EN DIMENSION AU PLUS TROIS (THEOREME 3.1) ; LORSQUE CET ESPACE DE DIMENSION TROIS EST UN ESPACE-TEMPS, LE 4 ETUDIE L'EVOLUTION GENERIQUE DES SECTIONS A TEMPS CONSTANT DU MINIMAX. TOUTE CETTE PREMIERE PARTIE EST CONCENTREE SUR LE PROBLEME DE THEORIE DES SINGULARITES ; LES APPLICATIONS AUX EQUATIONS AUX DERIVEES PARTIELLES FIGURENT DANS LA SECONDE PARTIE, QUI CONTIENT PAR AILLEURS DES RESULTATS NOUVEAUX COMME LE THEOREME 7.1 ET LE CONTRE-EXEMPLE 6.3
Download or read book Dynamique Non lin aire Et Le Chaos written by and published by . This book was released on 1993 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimization Optimal Control and Partial Differential Equations written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 1992 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods in mechanics and physical models.- Fluid flows in dielectric porous media.- The impact of a jet with two fluids on a porous wall.- Critical point methods in nonlinear eigenvalue problems with discontinuities.- Maximum principles for elliptic systems.- Exponential dichotomy of evolution operators in Banach spaces.- Asymptotic properties of solutions to evolution equations.- On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic nonlinear partial differential equations.- The controllability of infinite dimensional and distributed parameter systems.- Singularities in boundary value problems and exact controllability of hyperbolic systems.- Exact controllability of a shallow shell model.- Inverse problem: Identification of a melting front in the 2D case.- Micro-local approach to the control for the plates equation.- Bounded solutions for controlled hyperbolic systems.- Controllability and turbulence.- The H? control problem.- The H? boundary control with state feedback; the hyperbolic case.- Remarks on the theory of robust control.- The dynamic programming method.- Optimality and characteristics of Hamilton-Jacobi-Bellman equations.- Verification theorems of dynamic programming type in optimal control.- Isaacs' equations for value-functions of differential games.- Optimal control for robot manipulators.- Control theory and environmental problems: Slow fast models for management of renewable ressources.- On the Riccati equations of stochastic control.- Optimal control of nonlinear partial differential equations.- A boundary Pontryagin's principle for the optimal control of state-constrained elliptic systems.- Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems.- Optimal control for elliptic equation and applications.- Inverse problems for variational inequalities.- The variation of the drag with respect to the domain in Navier-Stokes flow, .- Mathematical programming and nonsmooth optimization.- Scalar minimax properties in vectorial optimization.- Least-norm regularization for weak two-level optimization problems.- Continuity of the value function with respect to the set of constraints.- On integral inequalities involving logconcave functions.- Numerical solution of free boundary problems in solids mechanics.- Authors' index
Download or read book Advances in Mathematical Fluid Mechanics written by Josef Malek and published by Springer. This book was released on 2000-10-04 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids. The first article "Viscous flows in Besov spaces" by M area Cannone ad dresses the problem of global existence of a uniquely defined solution to the three-dimensional Navier-Stokes equations for incompressible fluids. Among others the following topics are intensively treated in this contribution: (i) the systematic description of the spaces of initial conditions for which there exists a unique local (in time) solution or a unique global solution for small data, (ii) the existence of forward self-similar solutions, (iii) the relation of these results to Leray's weak solutions and backward self-similar solutions, (iv) the extension of the results to further nonlinear evolutionary problems. Particular attention is paid to the critical spaces that are invariant under the self-similar transform. For sufficiently small Reynolds numbers, the conditional stability in the sense of Lyapunov is also studied. The article is endowed by interesting personal and historical comments and an exhaustive bibliography that gives the reader a complete picture about available literature. The papers "The dynamical system approach to the Navier-Stokes equa tions for compressible fluids" by Eduard Feireisl, and "Asymptotic problems and compressible-incompressible limits" by Nader Masmoudi are devoted to the global (in time) properties of solutions to the Navier-Stokes equa and three tions for compressible fluids. The global (in time) analysis of two dimensional motions of compressible fluids were left open for many years.
Download or read book A History of the Theory of Elasticity and of the Strength of Materials written by Isaac Todhunter and published by . This book was released on 1886 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Integrable Systems written by V. Babelon and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Mediterranean region under climate change written by Collectif and published by IRD Éditions. This book was released on 2018-11-19 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been published by Allenvi (French National Alliance for Environmental Research) to coincide with the 22nd Conference of Parties to the United Nations Framework Convention on Climate Change (COP22) in Marrakesh. It is the outcome of work by academic researchers on both sides of the Mediterranean and provides a remarkable scientific review of the mechanisms of climate change and its impacts on the environment, the economy, health and Mediterranean societies. It will also be valuable in developing responses that draw on “scientific evidence” to address the issues of adaptation, resource conservation, solutions and risk prevention. Reflecting the full complexity of the Mediterranean environment, the book is a major scientific contribution to the climate issue, where various scientific considerations converge to break down the boundaries between disciplines.
Download or read book The European Landscape Convention written by Michael Jones and published by Springer Science & Business Media. This book was released on 2011-02-09 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important and insightful book provides, for the first time, a broad presentation of ongoing research into public participation in landscape conservation, management and planning, following the 2000 European Landscape Convention which came into force in 2004. The book examines both the theory of participation and what lessons can be learnt from specific European examples. It explores in what manner and to what extent the provisions for participation in the European Landscape Convention have been followed up and implemented. It also presents and compares different experiences of participation in selected countries from northern, southern, eastern and western Europe, and provides a critical examination of public participation in practice. However, while the book’s focus is necessarily on Europe, many of the conclusions drawn are of global relevance. The book provides a valuable reference for researchers and advanced students in landscape policies and management, as well as for professionals and others interested in land-use planning and environmental management.
Download or read book New Concepts on Abdominoplasty and Further Applications written by Juarez M. Avelar and published by Springer. This book was released on 2016-09-24 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents the important advances that have been achieved in abdominoplasty over the past 15 years, in particular through the introduction of a nontraumatic approach associated with minimal morbidity owing to the avoidance of resection of abdominal panniculus and damage to the perforating vessels. The surgical principles of this procedure, including in combination with liposuction, are fully described by its developer, Juarez Avelar, with the aid of a wealth of color illustrations. A miniabdominoplasty option is also discussed and recent significant technical contributions such as various new plication techniques and means of minimizing complications are clearly presented. In addition, a series of chapters explain how the surgical principles underlying the described nontraumatic method of abdominoplasty can now be applied to other areas of the body, for example to improve rhytidoplasty, ear reconstruction, body contouring, and medial thigh lifting. This book enables the plastic surgeon to apply the latest abdominoplasty techniques effectively and safely.
Download or read book Mathematics and Climate written by Hans Kaper and published by SIAM. This book was released on 2013-10-18 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and Climate is a timely textbook aimed at students and researchers in mathematics and statistics who are interested in current issues of climate science, as well as at climate scientists who wish to become familiar with qualitative and quantitative methods of mathematics and statistics. The authors emphasize conceptual models that capture important aspects of Earth's climate system and present the mathematical and statistical techniques that can be applied to their analysis. Topics from climate science include the Earth?s energy balance, temperature distribution, ocean circulation patterns such as El Ni?o?Southern Oscillation, ice caps and glaciation periods, the carbon cycle, and the biological pump. Among the mathematical and statistical techniques presented in the text are dynamical systems and bifurcation theory, Fourier analysis, conservation laws, regression analysis, and extreme value theory. The following features make Mathematics and Climate a valuable teaching resource: issues of current interest in climate science and sustainability are used to introduce the student to the methods of mathematics and statistics; the mathematical sophistication increases as the book progresses and topics can thus be selected according to interest and level of knowledge; each chapter ends with a set of exercises that reinforce or enhance the material presented in the chapter and stimulate critical thinking and communication skills; and the book contains an extensive list of references to the literature, a glossary of terms for the nontechnical reader, and a detailed index.
Download or read book Relativity and Scientific Computing written by Friedrich W Hehl and published by Springer. This book was released on 2012-02-12 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: For this set of lectures we assumed that the reader has a reasonable back ground in physics and some knowledge of general relativity, the modern theory of gravity in macrophysics, and cosmology. Computer methods are present ed by leading experts in the three main domains: in numerics, in computer algebra, and in visualization. The idea was that each of these subdisciplines is introduced by an extended set of main lectures and that each is conceived as being of comparable 'importance. Therefpre we believe that the book represents a good introduction into scientific I computing for any student who wants to specialize in relativity, gravitation, and/or astrophysics. We took great care to select lecturers who teach in a comprehensible way and who are, at the same time, at the research front of their respective field. In numerics we had the privilege of having a lecturer from the National Center for Supercomputing Applications (NCSA, Champaign, IL, USA) and some from other leading institutions of the world; visualization was taught by a visualization expert from Boeing; and in com puter algebra we took recourse to practitioners of different computer algebra systems as applied to classical general relativity up to quantum gravity and differential geometry.
Download or read book The Planetarium written by Nathalie Sarraute and published by Deep Vellum Publishing. This book was released on 2023-01-31 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: A young writer has his heart set on his aunt's large apartment. With this seemingly simple conceit, the characters of The Planetarium are set in orbit and a galaxy of argument, resentment, and bitterness erupts. Telling the story from various points of view, Sarraute focuses below the surface, on the emotional lives of the characters in a way that surpasses even Virginia Woolf. Always deeply engaging, The Planetarium reveals the deep disparity between the way we see ourselves and the way others see us.
Download or read book Mathematical Methods in Physics written by Philippe Blanchard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.
Download or read book Calculus of Variations with Applications written by George McNaught Ewing and published by Courier Corporation. This book was released on 1985-01-01 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications-oriented introduction to variational theory develops insight and promotes understanding of specialized books and research papers. Suitable for advanced undergraduate and graduate students as a primary or supplementary text. 1969 edition.
