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

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