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Author: S. Friedlander Publisher: Elsevier ISBN: 9780444515568 Category : Mathematics Languages : en Pages : 702
Book Description
The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Author: S. Friedlander Publisher: Elsevier ISBN: 9780444515568 Category : Mathematics Languages : en Pages : 702
Book Description
The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Author: Jean-Yves Chemin Publisher: Oxford University Press ISBN: 9780198503972 Category : Mathematics Languages : en Pages : 200
Book Description
An accessible and self-contained introduction to recent advances in fluid dynamics, this book provides an authoritative account of the Euler equations for a perfect incompressible fluid. The book begins with a derivation of the Euler equations from a variational principle. It then recalls the relations on vorticity and pressure and proposes various weak formulations. The book develops the key tools for analysis: the Littlewood-Paley theory, action of Fourier multipliers on L spaces, and partial differential calculus. These techniques are used to prove various recent results concerning vortex patches or sheets; the main results include the persistence of the smoothness of the boundary of a vortex patch, even if that smoothness allows singular points, and the existence of weak solutions of the vorticity sheet type. The text also presents properties of microlocal (analytic or Gevrey) regularity of the solutions of Euler equations and links such properties to the smoothness in time of the flow of the solution vector field.
Author: Pierre-Louis Lions Publisher: Oxford University Press ISBN: 9780198514886 Category : Language Arts & Disciplines Languages : en Pages : 370
Book Description
Fluid mechanics models consist of systems of nonlinear partial differential equations for which, despite a long history of important mathematical contributions, no complete mathematical understanding is available. The second volume of this book describes compressible fluid-mechanics models. The book contains entirely new material on a subject known to be rather difficult and important for applications (compressible flows). It is probably a unique effort on the mathematical problems associated with the compressible Navier-Stokes equations, written by one of the world's leading experts on nonlinear partial differential equations. Professor P.L. Lions won the Fields Medal in 1994.
Author: FAUDUET Henri Publisher: Lavoisier ISBN: 2743064552 Category : Languages : en Pages : 802
Book Description
Véritable traité de référence et guide pratique, Principes fondamentaux du génie des procédés et de la technologie chimique répertorie et analyse les principes de base incontournables pour réaliser des synthèses industrielles de produits chimiques. Il présente également les fondements de la qualité, de la sécurité et de l'environnement, notions indispensables à maîtriser avant de mettre en route et de conduire un procédé. Organisé en 3 parties, cet ouvrage rassemble toutes les notions théoriques et pratiques nécessaires aux chimistes avant d'industrialiser un procédé physique ou chimique. Il permet : d'assimiler les théories et concepts fondamentaux impliqués dans les procédés (grandeurs physicochimiques, bilans de matière et d'énergie, équilibres physiques et chimiques, etc.), illustrés par 54 exercices d'application. Un chapitre est également consacré à la mise en oeuvre des opérations chimiques en présentant les connaissances de base sur les réacteurs chimiques idéaux et industriels, sur la qualité, la sécurité et l'environnement, d'acquérir une méthodologie efficace pour la conduite de calculs de base à travers 84 exercices et problèmes de synthèse résolus issus de situations industrielles réelles et de la pratique professionnelle. De difficulté croissante et commentés pas à pas, ces exercices permettent de progresser et de vérifier ses acquis, de savoir interpréter et maîtriser les opérations physiques et chimiques les plus courantes. Totalement inédite, cette partie reposant sur des déterminations expérimentales présente des exemples de bilans effectués dans des opérations de séparation ou de synthèse chimique réalisées à l'échelon pilote (rappel des notions théoriques, description exhaustive du matériel utilisé et des opérations à effectuer, présentation et interprétation des résultats expérimentaux…). Enrichie de 26 annexes rassemblant les principales données utilisées et de deux index détaillés, cette nouvelle édition constitue un support indispensable pour les étudiants et enseignants en génie des procédés et en chimie industrielle des IUT, STS, licences et masters professionnels ainsi que des écoles d'ingénieurs. Il sera également utile aux ingénieurs et techniciens supérieurs travaillant dans les domaines production et R&D de l'industrie chimique.
Author: Lars Hörmander Publisher: Springer Science & Business Media ISBN: 1461207754 Category : Mathematics Languages : en Pages : 384
Book Description
On March 17-19 and May 19-21,1995, analysis seminars were organized jointly at the universities of Copenhagen and Lund, under the heading "Danish-Swedish Analysis Seminar". The main topic was partial differen tial equations and related problems of mathematical physics. The lectures given are presented in this volume, some as short abstracts and some as quite complete expositions or survey papers. They span over a large vari ety of topics. The most frequently occurring theme is the use of microlocal analysis which is now important also in the study of non-linear differential equations although it originated entirely within the linear theory. Perhaps it is less surprising that microlocal analysis has proved to be useful in the study of mathematical problems of classical quantum mechanics, for it re ceived a substantial input of ideas from that field. The scientific committee for the invitation of speakers consisted of Gerd Grubb in Copenhagen, Lars Hormander and Anders MeHn in Lund, and Jo hannes Sjostrand in Paris. Lars Hormander and Anders Melin have edited the proceedings. They were hosts of the seminar days in Lund while Gerd Grubb was the host in Copenhagen. Financial support was obtained from the mathematics departments in Copenhagen and Lund, CNRS in France, the Danish and Swedish Na tional Research Councils, Gustaf Sigurd Magnuson's foundation at the Royal Swedish Academy of Sciences, and the Wenner-Gren foundation in Stockholm. We want to thank all these organisations for their support
Author: Hajer Bahouri Publisher: Springer Science & Business Media ISBN: 3642168302 Category : Mathematics Languages : en Pages : 530
Book Description
In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations. It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.
Author: José F. Rodrigues Publisher: Springer Science & Business Media ISBN: 3764373172 Category : Mathematics Languages : en Pages : 290
Book Description
This book consists of contributions originating from a conference in Obedo, Portugal, which honoured the 70th birthday of V.A. Solonnikov. A broad variety of topics centering on nonlinear problems is presented, particularly Navier-Stokes equations, viscosity problems, diffusion-absorption equations, free boundaries, and Euler equations.
Author: S. Friedlander
Author: S. Friedlander
Author: Jean-Yves Chemin
Author: Pierre-Louis Lions
Author: FAUDUET Henri
Author: Lars Hörmander
Author: Hajer Bahouri
Author: Luis A. Caffarelli
Author: 
Author: José F. Rodrigues
Author: United States. National Advisory Committee for Aeronautics