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The Three-Dimensional Navier-Stokes Equations

The Three-Dimensional Navier-Stokes Equations

Hardcover

Series: Cambridge Studies in Advanced Mathematics, Book 157

General Mathematics

ISBN10: 1107019664
ISBN13: 9781107019669
Publisher: Cambridge University Press
Published: Sep 7 2016
Pages: 484
Weight: 1.71
Height: 1.23 Width: 6.16 Depth: 9.38
Language: English
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.

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General Mathematics