The three-dimensional Navier-Stokes equations: classical theory
by Robinson, James C., (James Cooper)
"A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier-Stokes equations, this book provides self-contained proofs of some of the most significant results in the area, many of which can only be found in research papers. Highlights include the existence of global-in-time Leray-Hopf weak solutions and the local existence of strong solutions; the conditional local regularity results of Serrin and others; and the partial regularity results of Caffarelli, K…
Read More ↓Title Statements
- Full title :The three-dimensional Navier-Stokes equations : classical theory / James C. Robinson, University of Warwick, José L. Rodrigo, University of Warwick, Witold Sadowski, University of Warsaw.
Summary
"A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier-Stokes equations, this book provides self-contained proofs of some of the most significant results in the area, many of which can only be found in research papers. Highlights include the existence of global-in-time Leray-Hopf weak solutions and the local existence of strong solutions; the conditional local regularity results of Serrin and others; and the partial regularity results of Caffarelli, Kohn, and Nirenberg. Appendices provide background material and proofs of some 'standard results' that are hard to find in the literature. A substantial number of exercises are included, with full solutions given at the end of the book. As the only introductory text on the topic to treat all of the mainstream results in detail, this book is an ideal text for a graduate course of one or two semesters. It is also a useful resource for anyone working in mathematical fluid dynamics."--Back cover.
Read More ↓Edition Statements
- Publication Date:2016.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge, United Kingdom
- Language:eng
- Publication Date:2016.
The Physical Object
- Description:xiv, 471 pages : : illustrations ; : 24 cm.
Edition Identifiers
- ISBN:1107019664, 9781107019669
- oclc:ocn958481540
- LC Classification:QA374
- Dewey Decimal:515/.353
Table of Contents
Introduction, p.1 --
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