Applied Mathematical Sciences

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

Authors: Boyer, Franck, Fabrie, Pierre

  • 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
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price for USA
  • ISBN 978-1-4614-5974-3
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Softcover $179.00
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  • ISBN 978-1-4899-8603-0
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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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About the authors

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

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)

Table of contents (7 chapters)

  • The equations of fluid mechanics

    Boyer, Franck (et al.)

    Pages 1-48

  • Analysis tools

    Boyer, Franck (et al.)

    Pages 49-120

  • Sobolev spaces

    Boyer, Franck (et al.)

    Pages 121-228

  • Steady Stokes equations

    Boyer, Franck (et al.)

    Pages 229-343

  • Navier–Stokes equations for homogeneous fluids

    Boyer, Franck (et al.)

    Pages 345-407

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-1-4614-5975-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-1-4614-5974-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4899-8603-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models
Authors
Series Title
Applied Mathematical Sciences
Series Volume
183
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-5975-0
DOI
10.1007/978-1-4614-5975-0
Hardcover ISBN
978-1-4614-5974-3
Softcover ISBN
978-1-4899-8603-0
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XIV, 526
Topics