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In this companion to Vol. 1, 1994 Fields Medalist Peirre-Louis Lions provides the summation to his unique and rigorous treatise on mathematical aspects of fluid mechanics models. ... Read more

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The thermodynamic limit is a mathematical technique for modeling crystals or other macroscopic objects by considering them as infinite periodic arrays of molecules. The technique allows models in solid state physics to be derived directly from models in quantum chemistry. This book presents new results, many previously unpublished, for a large class of models and provides a survey of the mathematics of thermodynamic limit problems. The authors both work closely with Fields Medal-winner Pierre-Louis Lion, and the book will be a valuable tool for applied mathematicians and mathematical physicists studying nonlinear partial differential equations. ... Read more

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This volume has resulted from an IMA workshop that sought to provide a mix of topics from both traditional areas of stochastic control theory and newer areas of application. The papers represent a diversity of approaches and points of view and emphasize to different extents the underlying mathematical theory, or modeling issues or questions of computational implementation. ... Read more

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The Paris-Princeton Lectures in Financial Mathematics, of which this is the third volume, publish, on an annual basis, cutting-edge research in self-contained, expository articles from outstanding - established or upcoming! - specialists. The aim is to produce a series of articles that can serve as an introductory reference for research in the field. It arises as a result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume comprises articles by René Carmona, Ivar Ekeland/Erik Taflin, Arturo Kohatsu-Higa, Pierre-Louis Lions/Jean-Michel Lasry, and Huyên Pham.

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One of the most challenging topics in applied mathematics is the development of the theory of nonlinear partial different equations. Many problems in mechanics, geometry, and probability lead to such equations when formulated in mathematical terms. Yet despite a long history of contributions, no core theory has been formulated. Written by the winner of the 1994 Fields Medal, this outstanding two-volume work helps shed new light on this important topic. Volume 1 emphasizes the mathematical analysis of incompressible models. After recalling the fundamental description of Newtonian fluids, a profound and self-contained study of both the classical Navier-Stokes equations (including the inhomogeneous case) and the Euler equations is given. Results about the existence and regularity of solutions are presented with complete proofs. The text highlights in particular the use of modern analytical tools and methods, and it indicates many open problems. Mathematical Topics in Fluid Mechanics will be an indispensable reference for every researcher in the field. Its topicality and the clear, concise presentations by the author make it an outstanding contribution to the great theoretical problems concerning mathematical modelling of physical phenomena. ... Read more

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These are a series of lectures given at the 1997 Cattedra Galileiana, at Scuola Normale Superiore. We discuss in these notes two mathematical topics related to Euler equations and turbulence. The general goal is to describe mathematically some coherent structures observed in turbulent flows. The first problem we study concerns 2-dimensional flows: we begin with a system of N points vortices interacting with the natural Coulomb-like force and we consider the associated Gibbs measure. We then show how the measure goes, as N goes to infinity, to a stationary measure which is concentrated on very particular stationary solutions of the two-dimensional Euler equations. We shall study the mathematical properties of these solutions. The second topic we consider is an extension of the previous one to 3-dimensional flows. ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Spi Dauphine, Bernard Roy, Pierre-Louis Lions, Laboratoire D'analyse et Modélisation de Systèmes Pour L'aide à La Décision, Centre Universitaire Dauphine, Centre de Géopolitique de L'énergie et Des Matières Premières. Non illustré. Mises à jour gratuites en ligne. Extrait : L'université Paris-Dauphine (nom officiel : université de technologie en sciences des organisations et de la décision de Paris-Dauphine) est un établissement public d'enseignement et de recherche spécialisé dans les sciences de gestion. Elle tire son nom de la porte Dauphine, dans le 16 arrondissement de Paris où est situé le bâtiment. Ce site est desservi par la station de métro Porte Dauphine. sur la ligne 2. Université Paris-DauphineLe Centre universitaire Dauphine, ayant statut de faculté, fut créée par décret du 24 octobre 1968 dans les anciens locaux de l'OTAN. Cet établissement devint le 1 janvier 1971 l'université Paris IX Dauphine et bénéficia dès sa création d'une large autonomie en matière d'innovation pédagogique. L'université Paris-Dauphine a rapidement acquis une notoriété et une reconnaissance internationale dans le domaine des sciences de gestion en ouvrant ses diplômes de troisième cycles aux diplômés des grandes écoles d'ingénieurs et de commerce. La sélection des candidats pratiquée à l'entrée a été l'objet de conflits juridiques depuis sa création. Chaque année, l'établissement reçoit 6 000 demandes pour seulement 650 places en première année. Pour les Masters les plus demandés, la sélection est de l'ordre de 10 candidats pour une place . Conformément au projet approuvé par le conseil d'administration de l'université, Dauphine a obtenu en février 2004 le statut de grand établissement. Tout en lui ouvrant de nouvelles marges de ma...http://booksllc.net/?l=fr ... Read more

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The Paris-Princeton Lectures in Financial Mathematics, of which this is the fourth volume, publish cutting-edge research in self-contained, expository articles from outstanding specialists - established or on the rise! The aim is to produce a series of articles that can serve as an introductory reference source for research in the field. The articles are the result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with five articles by:1. Areski Cousin,Monique Jeanblanc and Jean-Paul Laurent, 2. Stéphane Crépey, 3. Olivier Guéant, Jean-Michel Lasry and Pierre-Louis Lions, 4.David Hobson and 5. Peter Tankov. ... Read more

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