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Springer Tracts in Natural Philosophy

An Introduction to the Mathematical Theory of the Navier-Stokes Equations

Volume I: Linearised Steady Problems

Authors: Galdi, Giovanni P.

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About this Textbook

Undoubtedly, the Navier-Stokes equations are of basic importance within the context of modern theory of partial differential equations. Although the range of their applicability to concrete problems has now been clearly recognised to be limited, as my dear friend and bright colleague K.R. Ra­ jagopal has showed me by several examples during the past six years, the mathematical questions that remain open are of such a fascinating and challenging nature that analysts and applied mathematicians cannot help being attracted by them and trying to contribute to their resolution. Thus, it is not a coincidence that over the past ten years more than seventy sig­ nificant research papers have appeared concerning the well-posedness of boundary and initial-boundary value problems. In this monograph I shall perform a systematic and up-to-date investiga­ tion of the fundamental properties of the Navier-Stokes equations, including existence, uniqueness, and regularity of solutions and, whenever the region of flow is unbounded, of their spatial asymptotic behavior. I shall omit other relevant topics like boundary layer theory, stability, bifurcation, de­ tailed analysis of the behavior for large times, and free-boundary problems, which are to be considered "advanced" ones. In this sense the present work should be regarded as "introductory" to the matter.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-1-4757-3866-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to the Mathematical Theory of the Navier-Stokes Equations
Book Subtitle
Volume I: Linearised Steady Problems
Authors
Series Title
Springer Tracts in Natural Philosophy
Series Volume
38
Copyright
1994
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-3866-7
DOI
10.1007/978-1-4757-3866-7
Series ISSN
0081-3877
Edition Number
1
Number of Pages
XIII, 465
Number of Illustrations
1 b/w illustrations
Topics

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