An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Steady-State Problems (Springer Monographs in Mathematics Book 168) 2nd Edition by Giovanni Galdi (PDF)

Description

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)

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book covers only the steady-state Navier-Stokes equations; i.e. equations with u_t = 0. However, modern research concerns the Navier-Stokes equations that depend on time, and the theory associated with such equations is vastly different from the earlier theory with steady-state equations. So this textbook will probably not prepare you well for reading most of the recent research papers in the field. I recommend instead “Navier-Stokes Equations: Theory and Numerical Analysis” by Roger Temam; that book at least does not limit itself to the steady-state equations. The only advantage this book by Galdi has over Temam’s is that it contains numerous exercises while Temam does not have any. At the same time, those exercises are in my opinion too difficult for the reader.

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An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Steady-State Problems (Springer Monographs in Mathematics Book 168) 2nd Edition 2011 PDF Free Download
Download An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Steady-State Problems (Springer Monographs in Mathematics Book 168) 2nd Edition PDF
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