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Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models
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Catalogue Information
Field name
Details
Dewey Class
515.353
Title
Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models ([Ebook]) / by Franck Boyer, Pierre Fabrie.
Author
Boyer, Franck
Added Personal Name
Fabrie, Pierre
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer
, 2013.
Physical Details
XIII, 525 pages : online resource.
Series
Applied mathematical sciences
0066-5452 ; ; 183
ISBN
9781461459750
Summary Note
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 authorsâ 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.:
Contents note
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.-.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-1-4614-5975-0
Links to Related Works
Subject References:
Differential equations, Partial
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Engineering Fluid Dynamics
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Fluid- and Aerodynamics
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Fluid mechanics
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Hydraulic engineering
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Partial differential equations
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Authors:
author
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Boyer, Franck
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Fabrie, Pierre
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Corporate Authors:
SpringerLink (Online service)
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Series:
Applied mathematical sciences
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Classification:
515.353
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515.353 (DDC 23)
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