Sur Quelques Problemes Mathematiques En Mecanique Des Fluides

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Mathematical Topics in Fluid Mechanics

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Author : Jose Francisco Rodrigues
Publisher : CRC Press
ISBN 13 : 1000115232
Total Pages : 280 pages
Book Rating : 4.0/5 (1 download)

Book Synopsis Mathematical Topics in Fluid Mechanics by : Jose Francisco Rodrigues

Download or read book Mathematical Topics in Fluid Mechanics written by Jose Francisco Rodrigues and published by CRC Press. This book was released on 2020-10-02 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains. It includes review of the mathematical analysis of incompressible and compressible flows and results in magnetohydrodynamic and electrohydrodynamic stability and thermoconvective flow of Boussinesq-Stefan type. These studies, along with brief communications on a variety of related topics comprise the proceedings of a summer course held in Lisbon, Portugal in 1991. Together they provide a set of comprehensive survey and advanced introduction to problems in fluid mechanics and partial differential equations.

Méthodes mathématiques et numériques pour les équations aux dérivées partielles

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Author : CHASKALOVIC Joël
Publisher : Lavoisier
ISBN 13 : 2743064803
Total Pages : 382 pages
Book Rating : 4.7/5 (43 download)

Book Synopsis Méthodes mathématiques et numériques pour les équations aux dérivées partielles by : CHASKALOVIC Joël

Download or read book Méthodes mathématiques et numériques pour les équations aux dérivées partielles written by CHASKALOVIC Joël and published by Lavoisier. This book was released on 2013-01-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.

Obstacle Problems in Mathematical Physics

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Author : J.-F. Rodrigues
Publisher : Elsevier
ISBN 13 : 008087245X
Total Pages : 369 pages
Book Rating : 4.0/5 (88 download)

Book Synopsis Obstacle Problems in Mathematical Physics by : J.-F. Rodrigues

Download or read book Obstacle Problems in Mathematical Physics written by J.-F. Rodrigues and published by Elsevier. This book was released on 1987-03-01 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this research monograph is to present a general account of the applicability of elliptic variational inequalities to the important class of free boundary problems of obstacle type from a unifying point of view of classical Mathematical Physics.The first part of the volume introduces some obstacle type problems which can be reduced to variational inequalities. Part II presents some of the main aspects of the theory of elliptic variational inequalities, from the abstract hilbertian framework to the smoothness of the variational solution, discussing in general the properties of the free boundary and including some results on the obstacle Plateau problem. The last part examines the application to free boundary problems, namely the lubrication-cavitation problem, the elastoplastic problem, the Signorini (or the boundary obstacle) problem, the dam problem, the continuous casting problem, the electrochemical machining problem and the problem of the flow with wake in a channel past a profile.

Mathematical Modelling of Physical Systems

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Author : Michel Cessenat
Publisher : Springer
ISBN 13 : 3319947583
Total Pages : 517 pages
Book Rating : 4.3/5 (199 download)

Book Synopsis Mathematical Modelling of Physical Systems by : Michel Cessenat

Download or read book Mathematical Modelling of Physical Systems written by Michel Cessenat and published by Springer. This book was released on 2018-10-26 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and thorough, this monograph emphasizes the main role differential geometry and convex analysis play in the understanding of physical, chemical, and mechanical notions. Central focus is placed on specifying the agreement between the functional framework and its physical necessity and on making clear the intrinsic character of physical elements, independent from specific charts or frames. The book is divided into four sections, covering thermostructure, classical mechanics, fluid mechanics modelling, and behavior laws. An extensive appendix provides notations and definitions as well as brief explanation of integral manifolds, symplectic structure, and contact structure. Plenty of examples are provided throughout the book, and reviews of basic principles in differential geometry and convex analysis are presented as needed. This book is a useful resource for graduate students and researchers in the field.

Handbook of Mathematical Fluid Dynamics

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Author : S. Friedlander
Publisher : Elsevier
ISBN 13 : 9780444515568
Total Pages : 702 pages
Book Rating : 4.5/5 (155 download)

Book Synopsis Handbook of Mathematical Fluid Dynamics by : S. Friedlander

Download or read book Handbook of Mathematical Fluid Dynamics written by S. Friedlander and published by Elsevier. This book was released on 2004-11-20 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Topics in Fluid Mechanics: Volume 2: Compressible Models

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Author : Pierre-Louis Lions
Publisher : Oxford University Press
ISBN 13 : 9780198514886
Total Pages : 370 pages
Book Rating : 4.5/5 (148 download)

Book Synopsis Mathematical Topics in Fluid Mechanics: Volume 2: Compressible Models by : Pierre-Louis Lions

Download or read book Mathematical Topics in Fluid Mechanics: Volume 2: Compressible Models written by Pierre-Louis Lions and published by Oxford University Press. This book was released on 1996 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modeling in Combustion and Related Topics

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Author : Claude-Michel Brauner
Publisher : Springer Science & Business Media
ISBN 13 : 9400927703
Total Pages : 582 pages
Book Rating : 4.4/5 (9 download)

Book Synopsis Mathematical Modeling in Combustion and Related Topics by : Claude-Michel Brauner

Download or read book Mathematical Modeling in Combustion and Related Topics written by Claude-Michel Brauner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains invited lectures and contributed papers presented at the NATO Advanced Research Workshop on Mathematical Modeling in Combustion and related topics, held in. Lyon (France), April 27 - 30, 1987. This conference was planned to fit in with the two-month visit of Professor G.S.S. Ludford to the Ecole Centrale de Lyon. He kindly agreed to chair the Scientific and Organizing Committee and actively helped to initiate the meeting. His death in December 1986 is an enormous loss to the scientific community in general, and in particular, to the people involved in the present enterprise. The subject of mathematical modeling in combustion is too large for a single conference, and the selection of topics re flects both areas of recent research activity and areas of in terest to Professor G.S.S. Ludford, to whose memory the Advanced Workshop and this present volume are dedicated. The meeting was divided into seven specialized sessions detonation theory, mathematical analysis, numerical treatment of combustion problems, flame theory, experimental and industrial aspects, complex chemistry, and turbulent combustion. It brought together researchers and engineers from University and Industry (see below the closing remarks of the workshop by Prof. N. Peters). The articles in this volume have been judged and accepted on their scientific quality, and language corrections may have been sacrificed in order to allow quick dissemination of knowledge to prevail.

Fluid Dynamics Transactions

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Author : W. Fiszdon
Publisher : Elsevier
ISBN 13 : 1483149358
Total Pages : 655 pages
Book Rating : 4.4/5 (831 download)

Book Synopsis Fluid Dynamics Transactions by : W. Fiszdon

Download or read book Fluid Dynamics Transactions written by W. Fiszdon and published by Elsevier. This book was released on 2013-10-22 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid Dynamics Transactions, Volume 2 compiles 46 papers on fluid dynamics, a subdiscipline of fluid mechanics that deals with fluid flow. The topics discussed in this book include developments in interference theory for aeronautical applications; diffusion from sources in a turbulent boundary layer; unsteady motion of a finite wing span in a compressible medium; and wall pressure covariance and comparison with experiment. The certain classes of non-stationary axially symmetric flows in magneto–gas–dynamics; description of the phenomenon of secondary flows in curved channels by means of convection of rotation lines; and some variational problems of gas dynamics are also deliberated in this text. This publication is a good reference for physicists and students researching on the natural science of fluids in motion.

Inequalities in Mechanics and Physics

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Author : G. Duvant
Publisher : Springer Science & Business Media
ISBN 13 : 3642661653
Total Pages : 415 pages
Book Rating : 4.6/5 (426 download)

Book Synopsis Inequalities in Mechanics and Physics by : G. Duvant

Download or read book Inequalities in Mechanics and Physics written by G. Duvant and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. We begin by giving a simple example of a partial differential inequality that occurs in an elementary physics problem. We consider a fluid with pressure u(x, t) at the point x at the instant t that 3 occupies a region Q oflR bounded by a membrane r of negligible thickness that, however, is semi-permeable, i. e., a membrane that permits the fluid to enter Q freely but that prevents all outflow of fluid. One can prove then (cf. the details in Chapter 1, Section 2.2.1) that au (aZu azu aZu) (1) in Q, t>o, -a - du = g du = -a z + -a z + -a z t Xl X X3 z l g a given function, with boundary conditions in the form of inequalities u(X,t»o => au(x,t)/an=O, XEr, (2) u(x,t)=o => au(x,t)/an?:O, XEr, to which is added the initial condition (3) u(x,O)=uo(x). We note that conditions (2) are non linear; they imply that, at each fixed instant t, there exist on r two regions r~ and n where u(x, t) =0 and au (x, t)/an = 0, respectively. These regions are not prescribed; thus we deal with a "free boundary" problem.

Revue Roumaine de Mathématiques Pures Et Appliquées

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Author :
Publisher :
ISBN 13 :
Total Pages : 920 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Revue Roumaine de Mathématiques Pures Et Appliquées written by and published by . This book was released on 1970 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Navier–Stokes Equations

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Author : Roger Temam
Publisher : American Mathematical Society
ISBN 13 : 1470477866
Total Pages : 426 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis Navier–Stokes Equations by : Roger Temam

Download or read book Navier–Stokes Equations written by Roger Temam and published by American Mathematical Society. This book was released on 2024-05-24 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.

Navier-Stokes Equations and Turbulence

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Author : C. Foias
Publisher : Cambridge University Press
ISBN 13 : 1139428993
Total Pages : 363 pages
Book Rating : 4.1/5 (394 download)

Book Synopsis Navier-Stokes Equations and Turbulence by : C. Foias

Download or read book Navier-Stokes Equations and Turbulence written by C. Foias and published by Cambridge University Press. This book was released on 2001-08-27 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The mathematical technicalities are kept to a minimum within the book, enabling the language to be at a level understood by a broad audience.

Partial Differential Equations in Fluid Mechanics

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Author : Charles L. Fefferman
Publisher : Cambridge University Press
ISBN 13 : 1108460968
Total Pages : 339 pages
Book Rating : 4.1/5 (84 download)

Book Synopsis Partial Differential Equations in Fluid Mechanics by : Charles L. Fefferman

Download or read book Partial Differential Equations in Fluid Mechanics written by Charles L. Fefferman and published by Cambridge University Press. This book was released on 2018-09-27 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of survey articles and original research papers in mathematical fluid mechanics, for both researchers and graduate students.

Journal of Research of the National Bureau of Standards

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Author :
Publisher :
ISBN 13 :
Total Pages : 588 pages
Book Rating : 4.U/5 (183 download)

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Download or read book Journal of Research of the National Bureau of Standards written by and published by . This book was released on 1961 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical and Numerical Foundations of Turbulence Models and Applications

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Author : Tomás Chacón Rebollo
Publisher : Springer
ISBN 13 : 1493904558
Total Pages : 530 pages
Book Rating : 4.4/5 (939 download)

Book Synopsis Mathematical and Numerical Foundations of Turbulence Models and Applications by : Tomás Chacón Rebollo

Download or read book Mathematical and Numerical Foundations of Turbulence Models and Applications written by Tomás Chacón Rebollo and published by Springer. This book was released on 2014-06-17 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulence requires tools from various scientific disciplines, including mathematics, physics, engineering and computer science. Authored by two experts in the area with a long history of collaboration, this monograph provides a current, detailed look at several turbulence models from both the theoretical and numerical perspectives. The k-epsilon, large-eddy simulation and other models are rigorously derived and their performance is analyzed using benchmark simulations for real-world turbulent flows. Mathematical and Numerical Foundations of Turbulence Models and Applications is an ideal reference for students in applied mathematics and engineering, as well as researchers in mathematical and numerical fluid dynamics. It is also a valuable resource for advanced graduate students in fluid dynamics, engineers, physical oceanographers, meteorologists and climatologists.

Mémoires sur la mécanique des fluides

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Author :
Publisher :
ISBN 13 :
Total Pages : 508 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Mémoires sur la mécanique des fluides written by and published by . This book was released on 1954 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 1116 pages
Book Rating : 4.:/5 (26 download)

Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1962 with total page 1116 pages. Available in PDF, EPUB and Kindle. Book excerpt: