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Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models
Taschenbuch von Pierre Fabrie (u. a.)
Sprache: Englisch

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Beschreibung
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.

.
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.

.
Über den Autor
Franck Boyer is a Professor at Aix-Marseille Université. Pierre Fabrie is a Professor at Université Bordeaux.
Zusammenfassung

The book is self-contained

The methods presented in the book can be applied to a wide range of domains in nonlinear analysis

Some very recent research results are presented along with more classical ones

The first chapter of the book presents, with details, the derivation of the equations of fluid mechanics

Includes supplementary material: [...]

Inhaltsverzeichnis
Preface.- Contents.- The equations of fluid mechanics.- Analysis tools.- Sobolev spaces.- Steady Stokes equations.- Navier-Stokes equations for homogeneous fluids.- Nonhomogeneous fluids.- Boundary conditions modeling.- Classic differential operators.- Thermodynamics supplement.- References.- Index.
Details
Erscheinungsjahr: 2014
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
526 S.
ISBN-13: 9781489986030
ISBN-10: 1489986030
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Fabrie, Pierre
Boyer, Franck
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 29 mm
Von/Mit: Pierre Fabrie (u. a.)
Erscheinungsdatum: 13.12.2014
Gewicht: 0,809 kg
Artikel-ID: 104963727
Über den Autor
Franck Boyer is a Professor at Aix-Marseille Université. Pierre Fabrie is a Professor at Université Bordeaux.
Zusammenfassung

The book is self-contained

The methods presented in the book can be applied to a wide range of domains in nonlinear analysis

Some very recent research results are presented along with more classical ones

The first chapter of the book presents, with details, the derivation of the equations of fluid mechanics

Includes supplementary material: [...]

Inhaltsverzeichnis
Preface.- Contents.- The equations of fluid mechanics.- Analysis tools.- Sobolev spaces.- Steady Stokes equations.- Navier-Stokes equations for homogeneous fluids.- Nonhomogeneous fluids.- Boundary conditions modeling.- Classic differential operators.- Thermodynamics supplement.- References.- Index.
Details
Erscheinungsjahr: 2014
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
526 S.
ISBN-13: 9781489986030
ISBN-10: 1489986030
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Fabrie, Pierre
Boyer, Franck
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 29 mm
Von/Mit: Pierre Fabrie (u. a.)
Erscheinungsdatum: 13.12.2014
Gewicht: 0,809 kg
Artikel-ID: 104963727
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