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

Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models: Applied Mathematical Sciences, cartea 183

Autor Franck Boyer, Pierre Fabrie
en Limba Engleză Paperback – 13 dec 2014
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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Specificații

ISBN-13: 9781489986030
ISBN-10: 1489986030
Pagini: 540
Ilustrații: XIV, 526 p.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.75 kg
Ediția:2013
Editura: Springer
Colecția Springer
Seria Applied Mathematical Sciences

Locul publicării:New York, NY, United States

Public țintă

Graduate

Cuprins

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.

Recenzii

From the reviews:
“This book is a valuable contribution to the theory of Navier-Stokes equations and related models. It contains important existence, uniqueness and stability results, together with a rigorous analysis of all treated problems. It is warmly recommended to all researchers interested in modern nonlinear problems in fluid mechanics.” (Mirela Kohr, zbMATH, Vol. 1286, 2014)

Notă biografică

Franck Boyer is a Professor at Aix-Marseille Université. Pierre Fabrie is a Professor at Université Bordeaux.

Textul de pe ultima copertă

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.

Caracteristici

The book is self-contained The methods presented in the book can be applied to a wide range of domains in nonlinear analysis Some very recent research results are presented along with more classical ones The first chapter of the book presents, with details, the derivation of the equations of fluid mechanics Includes supplementary material: sn.pub/extras