Mathematical Topics In Fluid Mechanics

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Mathematical Topics In Fluid Mechanics Volume 2 Compressible Models

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Author : Pierre-Louis Lions
language : en
Publisher: Oxford University Press
Release Date : 1996

Mathematical Topics In Fluid Mechanics Volume 2 Compressible Models written by Pierre-Louis Lions and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Language Arts & Disciplines categories.

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 Topics In Fluid Mechanics

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Author : Jose Francisco Rodrigues
language : en
Publisher: CRC Press
Release Date : 2020-09-30

Mathematical Topics In Fluid Mechanics written by Jose Francisco Rodrigues and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-30 with Mathematics categories.

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.

Topics In Mathematical Fluid Mechanics

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Author : Peter Constantin
language : en
Publisher: Springer
Release Date : 2013-04-03

Topics In Mathematical Fluid Mechanics written by Peter Constantin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Mathematics categories.

This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity.

A Mathematical Introduction To Fluid Mechanics

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Author : A. J. Chorin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

A Mathematical Introduction To Fluid Mechanics written by A. J. Chorin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

These notes are based on a one-quarter (i. e. very short) course in fluid mechanics taught in the Department of Mathematics of the University of California, Berkeley during the Spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approxima tion procedures. The goals were: (i) to present some of the basic ideas of fluid mechanics in a mathematically attractive manner (which does not mean "fully rigorous"); (ii) to present the physical back ground and motivation for some constructions which have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems; (iil. ) 'to interest some of the students in this beautiful and difficult subject. The notes are divided into three chapters. The first chapter contains an elementary derivation of the equations; the concept of vorticity is introduced at an early stage. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented; it is hoped that it helps to clarify the ideas. The third chapter contains an analysis of one-dimensional gas iv flow, from a mildly modern point of view. Weak solutions, Riemann problems, Glimm's scheme, and combustion waves are discussed. The style is informal and no attempt was made to hide the authors' biases and interests.

Introduction To Mathematical Fluid Dynamics

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Author : Richard E. Meyer
language : en
Publisher: Courier Corporation
Release Date : 2012-03-08

Introduction To Mathematical Fluid Dynamics written by Richard E. Meyer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-08 with Science categories.

Geared toward advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences, this introductory text covers kinematics, momentum principle, Newtonian fluid, compressibility, and other subjects. 1971 edition.

Mathematical Aspects Of Fluid Mechanics

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Author : James C. Robinson
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-18

Mathematical Aspects Of Fluid Mechanics written by James C. Robinson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with Mathematics categories.

The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier–Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

Mathematical Theory In Fluid Mechanics

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Author : G P Galdi
language : en
Publisher: CRC Press
Release Date : 1996-08-01

Mathematical Theory In Fluid Mechanics written by G P Galdi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-01 with Science categories.

This volume consists of four contributions that are based on a series of lectures delivered by Jens Frehse. Konstantin Pikeckas, K.R. Rajagopal and Wolf von Wahl t the Fourth Winter School in Mathematical Theory in Fluid Mechanics, held in Paseky, Czech Republic, from December 3-9, 1995. In these papers the authors present the latest research and updated surveys of relevant topics in the various areas of theoretical fluid mechanics. Specifically, Frehse and Ruzicka study the question of the existence of a regular solution to Navier-Stokes equations in five dimensions by means of weighted estimates. Pileckas surveys recent results regarding the solvability of the Stokes and Navier-Stokes system in domains with outlets at infinity. K.R. Rajagopal presents an introduction to a continuum approach to mixture theory with the emphasis on the constitutive equation, boundary conditions and moving singular surface. Finally, Kaiser and von Wahl bring new results on stability of basic flow for the Taylor-Couette problem in the small-gap limit. This volume would be indicated for those in the fields of applied mathematicians, researchers in fluid mechanics and theoretical mechanics, and mechanical engineers.

Lectures On Fluid Dynamics

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Author : Roman Jackiw
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-05-17

Lectures On Fluid Dynamics written by Roman Jackiw and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-17 with Science categories.

Explains the motivation and reviewing the classical theory in a new form; Discusses conservation laws and Euler equations; For one-dimensional cases, the models presented are completely integrable

Mathematical Tools For The Study Of The Incompressible Navier Stokes Equations Andrelated Models

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Author : Franck Boyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-06

Mathematical Tools For The Study Of The Incompressible Navier Stokes Equations Andrelated Models written by Franck Boyer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-06 with Mathematics categories.

The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject. .

An Introduction To The Mechanics Of Fluids

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Author : C. Truesdell
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-05

An Introduction To The Mechanics Of Fluids written by C. Truesdell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-05 with Technology & Engineering categories.

A compact, moderately general book which encompasses many fluid models of current interest...The book is written very clearly and contains a large number of exercises and their solutions. The level of mathematics is that commonly taught to undergraduates in mathematics departments.. —Mathematical Reviews The book should be useful for graduates and researchers not only in applied mathematics and mechanical engineering but also in advanced materials science and technology...Each public scientific library as well as hydrodynamics hand libraries should own this timeless book...Everyone who decides to buy this book can be sure to have bought a classic of science and the heritage of an outstanding scientist. —Silikáty All applied mathematicians, mechanical engineers, aerospace engineers, and engineering mechanics graduates and researchers will find the book an essential reading resource for fluids. —Simulation News Europe