The Three-Dimensional NavierStokes Equations by James C Robinson

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Summary

A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier–Stokes equations, offering a self-contained treatment of many of the major results. Numerous exercises are provided, each with full solutions, making the book an ideal text for a graduate course of one or two semesters.

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The Three-Dimensional NavierStokes Equations by James C Robinson

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.
'I loved this very well-written book and I highly recommend it' Jean C. Cortissoz, Mathematical Reviews
James C. Robinson is a Professor of Mathematics at the University of Warwick. José L. Rodrigo is a Professor of Mathematics at the University of Warwick. Witold Sadowski is an Assistant Professor in the Institute of Applied Mathematics at the University of Warsaw.
SKU Unavailable
ISBN 13 9781107019669
ISBN 10 1107019664
Title The Three-Dimensional NavierStokes Equations
Author James C Robinson
Series Cambridge Studies In Advanced Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Cambridge University Press
Year published 2016-09-07
Number of pages 484
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.