Author: Benjamin Jourdain
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0

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Author: BENJAMIN.. JOURDAIN
Publisher:
ISBN:
Category :
Languages : fr
Pages : 128

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LA DEMARCHE ADOPTEE DANS CE TRAVAIL DE THESE EST LA SUIVANTE. CONSIDERANT UNE EQUATION D'EVOLUTION NON LINEAIRE, NOUS CHERCHONS A LUI ASSOCIER UNE PROBABILITE P SUR UN ESPACE DE TRAJECTOIRES TELLE QUE : - OU BIEN LES MARGINALES EN TEMPS DE P POSSEDENT PAR RAPPORT A LA MESURE DE LEBESGUE EN ESPACE DES DENSITES QUI SONT SOLUTION FAIBLE DE L'EQUATION D'EVOLUTION - OU BIEN, DANS LE CAS DE LA DIMENSION UN D'ESPACE, LES FONCTIONS DE REPARTITION DES MARGINALES SONT SOLUTION FAIBLE DE L'EQUATION. UNE FOIS LA PROBABILITE P OBTENUE COMME L'UNIQUE SOLUTION D'UN PROBLEME DE MARTINGALES NON LINEAIRE, NOUS CONSTRUISONS UN SYSTEME DE N PARTICULES EN INTERACTION PROBABILISTE DONT LA MESURE EMPIRIQUE CONVERGE VERS P LORSQUE N TEND VERS L'INFINI. UN TEL RESULTAT DE CONVERGENCE, APPELE PROPAGATION DU CHAOS, PERMET D'ENVISAGER D'APPROCHER LES SOLUTIONS DE L'EQUATION D'EVOLUTION EN SIMULANT LE SYSTEME DE PARTICULES. POUR L'ESSENTIEL, NOUS TRAITONS SUIVANT CE PROGRAMME DES EQUATIONS DE TYPE PARABOLIQUE DONT L'EQUATION DE BURGERS VISQUEUSE ET CELLE DES MILIEUX POREUX. SOUS P, LE PROCESSUS CANONIQUE SUR L'ESPACE DES TRAJECTOIRES CONTINUES EST ALORS UNE DIFFUSION NON LINEAIRE. NOUS NOUS INTERESSONS AUSSI A UNE EQUATION CINETIQUE LIEE AUX LOIS DE CONSERVATION SCALAIRES ET TRAVAILLONS POUR CELA SUR UN ESPACE DE TRAJECTOIRES COMPORTANT DES SAUTS. ENFIN, NOUS MONTRONS SUR DES EXEMPLES QU'IL N'EST PAS NECESSAIRE DE SE LIMITER AU CAS NATUREL OU LA CONDITION INITIALE DE L'EQUATION D'EVOLUTION EST UNE PROBABILITE OU UNE FONCTION DE REPARTITION DE PROBABILITE. IL EST POSSIBLE D'ADAPTER LA DEMARCHE POUR PRENDRE EN COMPTE LES MESURES SIGNEES BORNEES OU LEURS FONCTIONS DE REPARTITION.

Author: Benjamin Jourdain
Publisher:
ISBN:
Category :
Languages : fr
Pages :

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Author: Maurice Gaultier
Publisher:
ISBN:
Category :
Languages : fr
Pages : 270

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Author: François Delarue (auteur en Mathématiques appliquées).)
Publisher:
ISBN:
Category :
Languages : en
Pages : 188

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Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 728

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Author:
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ISBN:
Category : Differential equations, Partial
Languages : fr
Pages : 346

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Author: Claude Cohen-Tannoudji
Publisher: John Wiley & Sons
ISBN: 3527345558
Category : Science
Languages : en
Pages : 790

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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: Hans Freudenthal
Publisher: Springer Science & Business Media
ISBN: 9401036675
Category : Science
Languages : en
Pages : 201

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Proceedings of the Colloquium sponsored by the Division of Philosophy of Sciences of the International Union of History and Philosophy of Sciences organized at Utrecht, January 1960.

Author: Fondation Louis de Broglie
Publisher:
ISBN:
Category : Physics
Languages : fr
Pages : 576

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