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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780387096209 |
|
978-0-387-09620-9 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA370-380 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.353 |
Edition number |
23 |
264 #1 - |
-- |
New York, NY : |
-- |
Springer New York, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Galdi, G.P. |
Relator term |
author. |
245 13 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
An Introduction to the Mathematical Theory of the Navier-Stokes Equations |
Medium |
[electronic resource] : |
Remainder of title |
Steady-State Problems / |
Statement of responsibility, etc |
by G.P. Galdi. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XIV, 1018p. 4 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Springer Monographs in Mathematics, |
International Standard Serial Number |
1439-7382 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Steady-State Solutions of the Navier–Stokes Equations: Statement of the Problem and Open Questions -- Basic Function Spaces and Related Inequalities -- The Function Spaces of Hydrodynamics -- Steady Stokes Flow in Bounded Domains -- Steady Stokes Flow in Exterior Domains -- Steady Stokes Flow in Domains with Unbounded Boundaries -- Steady Oseen Flow in Exterior Domains -- Steady Generalized Oseen Flow in Exterior Domains -- Steady Navier–Stokes Flow in Bounded Domains -- Steady Navier–Stokes Flow in Three-Dimensional Exterior Domains. Irrotational Case -- Steady Navier–Stokes Flow in Three-Dimensional Exterior Domains. Rotational Case -- Steady Navier–Stokes Flow in Two-Dimensional Exterior Domains -- Steady Navier–Stokes Flow in Domains with Unbounded Boundaries -- Bibliography -- Index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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) |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Differential Equations. |
|
Topical term or geographic name as entry element |
Differential equations, partial. |
|
Topical term or geographic name as entry element |
Hydraulic engineering. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Partial Differential Equations. |
|
Topical term or geographic name as entry element |
Engineering Fluid Dynamics. |
|
Topical term or geographic name as entry element |
Applications of Mathematics. |
|
Topical term or geographic name as entry element |
Ordinary Differential Equations. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9780387096193 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-387-09620-9 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |