Authors:
- 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
Part of the book series: Applied Mathematical Sciences (AMS, volume 183)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
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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Reviews
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)Authors and Affiliations
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, Laboratoire d'Analyse Topologie et Proba, Faculté des sciences et techniques de Sa, MARSEILLE, France
Franck Boyer
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, Institut de Mathématiques de Bordeaux, ENSEIRB-MATMECA, Institut Polytechnique, Talence, France
Pierre Fabrie
About the authors
Bibliographic Information
Book Title: Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models
Authors: Franck Boyer, Pierre Fabrie
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-1-4614-5975-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-5974-3Published: 06 November 2012
Softcover ISBN: 978-1-4899-8603-0Published: 13 December 2014
eBook ISBN: 978-1-4614-5975-0Published: 06 November 2012
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XIV, 526
Topics: Partial Differential Equations, Engineering Fluid Dynamics, Fluid- and Aerodynamics