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Book Description
CE TRAVAIL A POUR BUT LA RESOLUTION DE CERTAINS PROBLEMES DE MECANIQUE QUANTIQUE EN UTILISANT LES EQUATIONS DE L'HYDRODYNAMIQUE. IL COMPREND QUATRE PARTIES. DANS LA PREMIERE PARTIE, ON CONSOLIDE LES TRAVAUX DEJA EFFECTUES DANS CE DOMAINE EN TENANT COMPTE DE LA POSSIBILITE D'UNE FLUCTUATION DE LA VITESSE DU FLUIDE, CE QUI PERMET D'ETABLIR UN ENSEMBLE D'EQUATIONS HYDRODYNAMIQUES DONT L'EQUATION DE SCHRODINGER N'EST QU'UN CAS PARTICULIER. DANS LA SECONDE PARTIE, ON PASSE EN REVUE LES DIFFICULTES RENCONTREES PAR CERTAINS AUTEURS LORS DE L'ETUDE DE PROBLEMES PARTICULIERS DE MECANIQUE QUANTIQUE, PUIS ON PROPOSE UNE METHODE NOUVELLE DE RESOLUTION BASEE SUR L'HYDRODYNAMIQUE. DANS LA TROISIEME PARTIE, ON S'INTERESSE AU PROBLEME DE L'ETALEMENT DU FLUIDE EN L'ABSENCE DE CHAMP DE FORCES EXTERIEUR, PROBLEME QUI N'A PAS ETE TRAITE JUSQU'A PRESENT. LES EQUATIONS HYDRODYNAMIQUES, EQUIVALENTES DANS CE CAS A L'EQUATION DE SCHRODINGER, DONNENT UNE SOLUTION ORIGINALE QUI DECRIT COMPLETEMENT LE PHENOMENE. DANS LA QUATRIEME PARTIE, ON ETUDIE L'ETALEMENT DU FLUIDE DANS UN SAUT DE POTENTIEL FORME PAR UNE CAVITE SPHERIQUE EN UTILISANT LES EQUATIONS HYDRODYNAMIQUES EQUIVALENTES A L'EQUATION DE SCHRODINGER, CE QUI PERMET DE TROUVER DES SOLUTIONS ORIGINALES QUI METTENT EN EVIDENCE LA POSSIBILITE D'UN EFFET TUNNEL
Book Description
CE TRAVAIL A POUR BUT LA RESOLUTION DE CERTAINS PROBLEMES DE MECANIQUE QUANTIQUE EN UTILISANT LES EQUATIONS DE L'HYDRODYNAMIQUE. IL COMPREND QUATRE PARTIES. DANS LA PREMIERE PARTIE, ON CONSOLIDE LES TRAVAUX DEJA EFFECTUES DANS CE DOMAINE EN TENANT COMPTE DE LA POSSIBILITE D'UNE FLUCTUATION DE LA VITESSE DU FLUIDE, CE QUI PERMET D'ETABLIR UN ENSEMBLE D'EQUATIONS HYDRODYNAMIQUES DONT L'EQUATION DE SCHRODINGER N'EST QU'UN CAS PARTICULIER. DANS LA SECONDE PARTIE, ON PASSE EN REVUE LES DIFFICULTES RENCONTREES PAR CERTAINS AUTEURS LORS DE L'ETUDE DE PROBLEMES PARTICULIERS DE MECANIQUE QUANTIQUE, PUIS ON PROPOSE UNE METHODE NOUVELLE DE RESOLUTION BASEE SUR L'HYDRODYNAMIQUE. DANS LA TROISIEME PARTIE, ON S'INTERESSE AU PROBLEME DE L'ETALEMENT DU FLUIDE EN L'ABSENCE DE CHAMP DE FORCES EXTERIEUR, PROBLEME QUI N'A PAS ETE TRAITE JUSQU'A PRESENT. LES EQUATIONS HYDRODYNAMIQUES, EQUIVALENTES DANS CE CAS A L'EQUATION DE SCHRODINGER, DONNENT UNE SOLUTION ORIGINALE QUI DECRIT COMPLETEMENT LE PHENOMENE. DANS LA QUATRIEME PARTIE, ON ETUDIE L'ETALEMENT DU FLUIDE DANS UN SAUT DE POTENTIEL FORME PAR UNE CAVITE SPHERIQUE EN UTILISANT LES EQUATIONS HYDRODYNAMIQUES EQUIVALENTES A L'EQUATION DE SCHRODINGER, CE QUI PERMET DE TROUVER DES SOLUTIONS ORIGINALES QUI METTENT EN EVIDENCE LA POSSIBILITE D'UN EFFET TUNNEL
Book Description
Beginning in 1920, contains section on bibliography and since 1928 minutes and résumeés of the society's proceedings, as well as other supplementary material (often separately paged).
Author: Évariste Galois Publisher: European Mathematical Society ISBN: 9783037191040 Category : Galois theory Languages : en Pages : 426
Book Description
Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.
Author: Howard S. Wheater Publisher: Cambridge University Press ISBN: 1139489720 Category : Science Languages : en Pages :
Book Description
Arid and semi-arid regions face major challenges in the management of scarce freshwater resources under pressures of population, economic development, climate change, pollution and over-abstraction. Groundwater is commonly the most important water resource in these areas. Groundwater models are widely used globally to understand groundwater systems and to guide decisions on management. However, the hydrology of arid and semi-arid areas is very different from that of humid regions, and there is little guidance on the special challenges of groundwater modelling for these areas. This book brings together the experience of internationally leading experts to fill a gap in the scientific and technical literature. It introduces state-of-the-art methods for modelling groundwater resources, illustrated with a wide-ranging set of illustrative examples from around the world. The book is valuable for researchers, practitioners in developed and developing countries, and graduate students in hydrology, hydrogeology, water resources management, environmental engineering and geography.
Author: Robert Klöfkorn Publisher: Springer Nature ISBN: 3030436519 Category : Computers Languages : en Pages : 727
Book Description
The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.
Author: YVES.. CASIER
Author: YVES.. CASIER
Author: Fondation Louis de Broglie
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Author: Évariste Galois
Author: Howard S. Wheater
Author: Robert Klöfkorn