Actions for Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models [electronic resource]

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Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models [electronic resource] / by Franck Boyer, Pierre Fabrie

Author
Boyer, Franck
Published
New York, NY : Springer New York : Imprint: Springer, 2013.
Physical Description
XIII, 525 pages : digital
Additional Creators
Fabrie, Pierre and SpringerLink (Online service)
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Series
Contents
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.-.
Summary
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.
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Genre(s)
ISBN
9781461459750
Note
AVAILABLE ONLINE TO AUTHORIZED PSU USERS.
Part Of
Springer eBooks
View MARC record | catkey: 9484594