Existence de solutions pour des systemes couples non lineaires elliptiques ou d'evolution PDF Download
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Author: Olivier Guibé (enseignant-chercheur en mathématiques).)
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Languages : fr
Pages :
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Author: Olivier Guibé (enseignant-chercheur en mathématiques).)
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ISBN:
Category :
Languages : fr
Pages :
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Author: OLIVIER.. GUIBE
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ISBN:
Category :
Languages : fr
Pages : 120
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LA THESE EST CONSACREE A L'ETUDE DE SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES ISSUS D'UN MODELE DE THERMOVISCOELASTICITE. LE PREMIER CHAPITRE CONCERNE UNE VERSION STATIONNAIRE DE CE MODELE. EN UTILISANT LE CADRE DES SOLUTIONS RENORMALISEES DES PROBLEMES ELLIPTIQUES A DONNEES L 1, NOUS DEMONTRONS DEUX THEOREMES D'EXISTENCE DE SOLUTIONS AINSI QUE DES RESULTATS PARTIELS CONCERNANT L'UNICITE. DANS LE DEUXIEME CHAPITRE ET DANS LE BUT D'AFFAIBLIR LES HYPOTHESES SUR LES DONNEES, NOUS TRANSFORMONS DE FACON FORMELLE LE SYSTEME CONSIDERE DANS LE CHAPITRE 1. DANS LE CAS PARTICULIER DE CE NOUVEAU SYSTEME, NOUS ADAPTONS LES NOTIONS DE SOLUTIONS RENORMALISEES ET ENTROPIQUES AFIN DE DEMONTRER UN RESULTAT D'EXISTENCE DE SOLUTIONS. DANS LE TROISIEME CHAPITRE, DEUX RESULTATS D'EXISTENCE DE SOLUTIONS SONT ETABLIS POUR LE SYSTEME INITIAL D'EVOLUTION. ON UTILISE LE CADRE DES SOLUTIONS RENORMALISEES POUR LES PROBLEMES PARABOLIQUES A DONNEES L 1.
Author: JEAN.. VELIN
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Languages : fr
Pages :
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DANS CETTE RECHERCHE, NOUS ENTREPRENONS D'ETENDRE AUX SYSTEMES ELLIPTIQUES NON-LINEAIRES DEPENDANT (1) OU NON (2) D'UNE MEME APPLICATION H DITE POTENTIELLE (CE QUE NOUS NOTERONS PAR S.D.P. POUR (1) ET S.N.D.P. POUR (2)), L'ETUDE DE L'EXISTENCE ET DE LA NON-EXISTENCE DE SOLUTIONS POSITIVES, BORNEES ET NON-TRIVIALES. L'OBTENTION D'UNE IDENTITE DE TYPE POHOZAEV, NOUS PERMET DE MONTRER SOUS CERTAINES CONDITIONS QU'UN PROBLEME ASSOCIE A UN S.D.P. N'EST SATISFAIT QUE POUR LA SOLUTION TRIVIALE. PAR CONTRE, NOUS AFFIRMONS L'EXISTENCE POUR UN TEL PROBLEME EN UTILISANT LE THEOREME DE PASSE-MONTAGNE. LORSQUE NOUS CONSIDERONS UN PROBLEME LIE A UN SYSTEME S.N.D.P., AVEC LA CONSTRUCTION D'UN COUPLE SOUS-SUR SOLUTION RADIAL, NOUS ETABLISSONS L'EXISTENCE. DES RESULTATS RELATIFS A CERTAINS PROBLEMES SPECTRAUX NON-LINEAIRES, NOUS DONNENT POUR UN S.D.P. (PARTICULIER), UNE CONDITION NECESSAIRE ET SUFFISANTE D'EXISTENCE
Author: JEAN-RENE.. LICOIS
Publisher:
ISBN:
Category :
Languages : fr
Pages : 133
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ETUDE LORSQUE T TEND VERS L'INFINI, DU COMPORTEMENT DES SOLUTIONS D'UN PROBLEME D'EVOLUTION ELLIPTIQUE, CONSERVATIF, SUR UNE VARIETE RIEMANNIENNE COMPACTE. PREMIERE PARTIE: PERTURBATION LINEAIRE D'UN OPERATEUR MONOTONE (LAPLACIEN ASSOCIE A UNE NON-LINEARITE ANALOGUE A UNE PUISSANCE). ON MONTRE QUE TOUTE SOLUTION POSITIVE CONVERGE VERS UNE SOLUTION DU PROBLEME STATIONNAIRE ASSOCIE. POUR LES SOLUTIONS DE SIGNE QUELCONQUE, ON DISPOSE, SOUS CERTAINES CONDITIONS, D'UN RESULTAT D'HOMOGENEISATION ASYMPTOTIQUE. DANS TOUS LES CAS, LE SYSTEME DYNAMIQUE ASSOCIE POSSEDE UN ATTRACTEUR MAXIMAL FORME DES SOLUTIONS GLOBALES. DEUXIEME PARTIE: GENERALISATION AUX SOLUTIONS POSITIVES D'UN SYSTEME D'EQUATIONS AUX DERIVEES PARTIELLES ELLIPTIQUES AVEC COUPLAGE NON LINEAIRE. TROISIEME PARTIE: ON CONSIDERE UNE PERTURBATION NON-LINEAIRE (DE TYPE PUISSANCE) D'UN OPERATEUR LINEAIRE. NOS TRAVAUX PORTENT SUR LA RECHERCHE DE CONDITIONS, PORTANT SUR LA NORME INFINIE D'UNE SOLUTION, QUI IMPLIQUENT L'HOMOGENEISATION DES SOLUTIONS POSITIVES. DANS LE CAS DE LA SPHERE S1, ON MONTRE, EN UTILISANT UNE DECOMPOSITION DE FOURIER, L'EXISTENCE DE SOLUTIONS S'HOMOGENEISANT AUTOUR DE N'IMPORTE QUELLE SOLUTION HOMOGENE. ON ETUDIE ENFIN LE PROBLEME MODIFIE, EN REMPLACANT UNE CERTAINE PUISSANCE DE LA SOLUTION, PAR SA MOYENNE
Author: Viorel Barbu
Publisher: Springer Science & Business Media
ISBN: 9783764327880
Category : Mathematics
Languages : en
Pages : 376
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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
Author:
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Category : Mathematical reviews
Languages : en
Pages : 628
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Author: V. Babelon
Publisher: Springer Science & Business Media
ISBN: 1461203155
Category : Mathematics
Languages : en
Pages : 368
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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: 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.
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: A.M. Meirmanov
Publisher: Walter de Gruyter
ISBN: 3110846721
Category : Mathematics
Languages : en
Pages : 257
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Book Description
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
