Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models

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 mathe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Boyer, Franck (Autor), Fabrie, Pierre (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Applied Mathematical Sciences, 183
Temas:
Differential equations.
Fluid mechanics.
Continuum mechanics.
Differential Equations.
Engineering Fluid Dynamics.
Continuum Mechanics.
Acceso en línea:Texto Completo

MARC

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100 1 |a Boyer, Franck.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models  |h [electronic resource] /  |c by Franck Boyer, Pierre Fabrie. 
250 |a 1st ed. 2013. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2013. 
300 |a XIV, 526 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Applied Mathematical Sciences,  |x 2196-968X ;  |v 183 
505 0 |a 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. 
520 |a 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. 
650 0 |a Differential equations. 
650 0 |a Fluid mechanics. 
650 0 |a Continuum mechanics. 
650 1 4 |a Differential Equations. 
650 2 4 |a Engineering Fluid Dynamics. 
650 2 4 |a Continuum Mechanics. 
700 1 |a Fabrie, Pierre.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9781461459767 
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830 0 |a Applied Mathematical Sciences,  |x 2196-968X ;  |v 183 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-1-4614-5975-0  |z Texto Completo 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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