000			04880nam a22004935i 4500
001			978-0-387-09620-9
003			DE-He213
005			20140220083710.0
007			cr nn 008mamaa
008			110711s2011 xxu| s |||| 0|eng d
020			_a9780387096209 _9978-0-387-09620-9
024	7		_a10.1007/978-0-387-09620-9 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aGaldi, G.P. _eauthor.
245	1	3	_aAn Introduction to the Mathematical Theory of the Navier-Stokes Equations _h[electronic resource] : _bSteady-State Problems / _cby G.P. Galdi.
264		1	_aNew York, NY : _bSpringer New York, _c2011.
300			_aXIV, 1018p. 4 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aSteady-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			_aThe 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	_aMathematics.
650		0	_aDifferential Equations.
650		0	_aDifferential equations, partial.
650		0	_aHydraulic engineering.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aEngineering Fluid Dynamics.
650	2	4	_aApplications of Mathematics.
650	2	4	_aOrdinary Differential Equations.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387096193
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-09620-9
912			_aZDB-2-SMA
999			_c105016 _d105016