AN INTRODUCTION TO THE MATHEMATICAL THEORY OF THE NAVIER STOKES EQUATIONS STEADY STATE PROBLEMS 1 SPRINGER MONOGRAPHS IN MATHEMATICS

Download An Introduction To The Mathematical Theory Of The Navier Stokes Equations Steady State Problems 1 Springer Monographs In Mathematics ebook PDF or Read Online books in PDF, EPUB, and Mobi Format. Click Download or Read Online button to AN INTRODUCTION TO THE MATHEMATICAL THEORY OF THE NAVIER STOKES EQUATIONS STEADY STATE PROBLEMS 1 SPRINGER MONOGRAPHS IN MATHEMATICS book pdf for free now.

An Introduction To The Mathematical Theory Of The Navier Stokes Equations

Author : Giovanni P. Galdi
ISBN : 0387096205
Genre : Mathematics
File Size : 27.4 MB
Format : PDF, ePub
Download : 910
Read : 1129

The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of boundary-value problems related to the Navier-Stokes equations. These properties include existence, uniqueness and regularity of solutions in bounded as well as unbounded domains. Whenever the domain is unbounded, the asymptotic behavior of solutions is also investigated. This book is the new edition of the original two volume book, under the same title, published in 1994. In this new edition, the two volumes have merged into one and two more chapters on steady generalized oseen flow in exterior domains and steady Navier–Stokes flow in three-dimensional exterior domains have been added. Most of the proofs given in the previous edition were also updated. An introductory first chapter describes all relevant questions treated in the book and lists and motivates a number of significant and still open questions. It is written in an expository style so as to be accessible also to non-specialists.Each chapter is preceded by a substantial, preliminary discussion of the problems treated, along with their motivation and the strategy used to solve them. Also, each chapter ends with a section dedicated to alternative approaches and procedures, as well as historical notes. The book contains more than 400 stimulating exercises, at different levels of difficulty, that will help the junior researcher and the graduate student to gradually become accustomed with the subject. Finally, the book is endowed with a vast bibliography that includes more than 500 items. Each item brings a reference to the section of the book where it is cited. The book will be useful to researchers and graduate students in mathematics in particular mathematical fluid mechanics and differential equations. Review of First Edition, First Volume: “The emphasis of this book is on an introduction to the mathematical theory of the stationary Navier-Stokes equations. It is written in the style of a textbook and is essentially self-contained. The problems are presented clearly and in an accessible manner. Every chapter begins with a good introductory discussion of the problems considered, and ends with interesting notes on different approaches developed in the literature. Further, stimulating exercises are proposed. (Mathematical Reviews, 1995)
Category: Mathematics

Mathematical Tools For The Study Of The Incompressible Navier Stokes Equations And Related Models

Author : Franck Boyer
ISBN : 9781461459750
Genre : Mathematics
File Size : 50.93 MB
Format : PDF, Mobi
Download : 826
Read : 1049

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. .
Category: Mathematics

Nonlinear Stability Of Ekman Boundary Layers In Rotating Stratified Fluids

Author : Hajime Koba
ISBN : 9780821891339
Genre : Mathematics
File Size : 72.36 MB
Format : PDF, Kindle
Download : 519
Read : 435

A stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs stationary solutions of the rotating Navier-Stokes-Boussinesq equations with stratification effects in the case when the rotating axis is not necessarily perpendicular to the horizon. The author calls such stationary solutions Ekman layers. This book shows the existence of a weak solution to an Ekman perturbed system, which satisfies the strong energy inequality. Moreover, the author discusses the uniqueness of weak solutions and computes the decay rate of weak solutions with respect to time under some assumptions on the Ekman layers and the physical parameters. The author also shows that there exists a unique global-in-time strong solution of the perturbed system when the initial datum is sufficiently small. Comparing a weak solution satisfying the strong energy inequality with the strong solution implies that the weak solution is smooth with respect to time when time is sufficiently large.
Category: Mathematics

Recent Developments Of Mathematical Fluid Mechanics

Author : Herbert Amann
ISBN : 9783034809399
Genre : Mathematics
File Size : 62.15 MB
Format : PDF, Docs
Download : 759
Read : 623

The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.
Category: Mathematics

Finite Element Methods For Incompressible Flow Problems

Author : Volker John
ISBN : 9783319457505
Genre : Mathematics
File Size : 22.89 MB
Format : PDF, ePub
Download : 243
Read : 907

This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.
Category: Mathematics

An Introduction To The Mathematical Theory Of The Navier Stokes Equations

Author : Giovanni P. Galdi
ISBN : 0387096191
Genre : Mathematics
File Size : 88.98 MB
Format : PDF, Mobi
Download : 912
Read : 1324

The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of boundary-value problems related to the Navier-Stokes equations. These properties include existence, uniqueness and regularity of solutions in bounded as well as unbounded domains. Whenever the domain is unbounded, the asymptotic behavior of solutions is also investigated. This book is the new edition of the original two volume book, under the same title, published in 1994. In this new edition, the two volumes have merged into one and two more chapters on steady generalized oseen flow in exterior domains and steady Navier–Stokes flow in three-dimensional exterior domains have been added. Most of the proofs given in the previous edition were also updated. An introductory first chapter describes all relevant questions treated in the book and lists and motivates a number of significant and still open questions. It is written in an expository style so as to be accessible also to non-specialists.Each chapter is preceded by a substantial, preliminary discussion of the problems treated, along with their motivation and the strategy used to solve them. Also, each chapter ends with a section dedicated to alternative approaches and procedures, as well as historical notes. The book contains more than 400 stimulating exercises, at different levels of difficulty, that will help the junior researcher and the graduate student to gradually become accustomed with the subject. Finally, the book is endowed with a vast bibliography that includes more than 500 items. Each item brings a reference to the section of the book where it is cited. The book will be useful to researchers and graduate students in mathematics in particular mathematical fluid mechanics and differential equations. Review of First Edition, First Volume: “The emphasis of this book is on an introduction to the mathematical theory of the stationary Navier-Stokes equations. It is written in the style of a textbook and is essentially self-contained. The problems are presented clearly and in an accessible manner. Every chapter begins with a good introductory discussion of the problems considered, and ends with interesting notes on different approaches developed in the literature. Further, stimulating exercises are proposed. (Mathematical Reviews, 1995)
Category: Mathematics

Mathematical Reviews

Author :
ISBN : UVA:X006195255
Genre : Mathematics
File Size : 81.66 MB
Format : PDF, Kindle
Download : 798
Read : 857

Category: Mathematics

Books In Print

Author :
ISBN : UOM:39015054048460
Genre : American literature
File Size : 30.2 MB
Format : PDF, ePub, Mobi
Download : 398
Read : 1079

Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.
Category: American literature