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Mathematical tools for the study of the incompressible Navier-Stokes equations and related models / / Franck Boyer, Pierre Fabrie



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Autore: Boyer Franck Visualizza persona
Titolo: Mathematical tools for the study of the incompressible Navier-Stokes equations and related models / / Franck Boyer, Pierre Fabrie Visualizza cluster
Pubblicazione: New York, : Springer, 2013
Descrizione fisica: 1 online resource (537 p.)
Disciplina: 532.001515353
Soggetto topico: Navier-Stokes equations
Altri autori: FabriePierre  
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Mathematical tools for the study of the incompressible Navier-Stokes equations and related models  Visualizza cluster
ISBN: 1-283-91092-6
1-4614-5975-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910438159303321
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Serie: Applied mathematical sciences (Springer-Verlag New York Inc.) ; ; v. 183.