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Lecture Notes on Regularity Theory for the Navier-Stokes ..
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Lecture Notes on Regularity Theory for the Navier-Stokes ..

No customer reviews yet ISBN 9789814623407 World Scientific Publishing Company
Published
Nov 2014
Language
English
Size
9.1 × 0.9 × 6.2 in
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About this book

The lecture notes in this book are based on the TCC (Taught Course Centre for graduates) course given by the author in Trinity Terms of 2009-2011 at the Mathematical Institute of Oxford University. It contains more or less an elementary introduction to the mathematical theory of the Navier-Stokes equations as well as the modern regularity theory for them. The latter is developed by means of the classical PDE's theory in the style that is quite typical for St Petersburg's mathematical school of the Navier-Stokes equations.

The global unique solvability (well-posedness) of initial boundary value problems for the Navier-Stokes equations is in fact one of the seven Millennium problems stated by the Clay Mathematical Institute in 2000. It has not been solved yet. However, a deep connection between regularity and well-posedness is known and can be used to attack the above challenging problem. This type of approach is not very well presented in the modern books on the mathematical theory of the Navier-Stokes equations. Together with introduction chapters, the lecture notes will be a self-contained account on the topic from the very basic stuff to the state-of-art in the field.

Specifications

PublisherWorld Scientific Publishing Company
PublishedNov 1, 2014
ISBN-109814623407
ISBN-139789814623407
LanguageEnglish
Dimensions9.1 × 0.9 × 6.2 in
Weight1 lb

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