Lecture Notes On Regularity Theory For The Navier-Stokes Equations - Couverture rigide

Seregin, Gregory

 
9789814623407: Lecture Notes On Regularity Theory For The Navier-Stokes Equations
Couverture rigide
ISBN 10 : 9814623407 ISBN 13 : 9789814623407
Editeur : World Scientific Publishing Co Pte Ltd, 2014

Synopsis

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 20092011 at the Mathematical Institute of Oxford University. It contains more or less an elementary introduction to the mathematical theory of the NavierStokes 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 NavierStokes equations. The global unique solvability (well-posedness) of initial boundary value problems for the NavierStokes 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 NavierStokes 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

The presentation of the material is self-contained and clear ... Can be strongly recommended to everybody who is interested in mathematical fluid mechanics or in PDEs. --Mathematical Reviews Clippings

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2014
Langue
anglais
ISBN 10 
9814623407
ISBN 13 
9789814623407
Reliure
Relié
Nombre de pages
268
Coordonnées du fabricant
non disponible
Personne responsable
non disponible