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The Resource Lecture notes on regularity theory for the Navier-Stokes equations, Gregory Seregin (Oxford University, UK)

Lecture notes on regularity theory for the Navier-Stokes equations, Gregory Seregin (Oxford University, UK)

Label
Lecture notes on regularity theory for the Navier-Stokes equations
Title
Lecture notes on regularity theory for the Navier-Stokes equations
Statement of responsibility
Gregory Seregin (Oxford University, UK)
Creator
Author
Subject
Language
eng
Summary
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. Readership: Undergraduate and graduate students in differential equtions and fluid mechanics.--Provided by publisher
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1950-
http://library.link/vocab/creatorName
Seregin, Gregory
Dewey number
515/.353
Index
index present
LC call number
QA377
LC item number
.S463 2014
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Navier-Stokes equations
  • Fluid dynamics
  • Fluid dynamics
  • Navier-Stokes equations
Label
Lecture notes on regularity theory for the Navier-Stokes equations, Gregory Seregin (Oxford University, UK)
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preliminaries -- Linear stationary problem -- Non-linear stationary problem -- Linear non-stationary problem -- Non-linear non-stationary problem -- Local regularity theory for non-stationary Navier-Stokes equations -- Behavior of L3-norm
Control code
881721527
Dimensions
23 cm.
Extent
ix, 258 pages
Isbn
9789814623407
Isbn Type
(hardcover : alk. paper)
Lccn
2014024553
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)881721527
Label
Lecture notes on regularity theory for the Navier-Stokes equations, Gregory Seregin (Oxford University, UK)
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preliminaries -- Linear stationary problem -- Non-linear stationary problem -- Linear non-stationary problem -- Non-linear non-stationary problem -- Local regularity theory for non-stationary Navier-Stokes equations -- Behavior of L3-norm
Control code
881721527
Dimensions
23 cm.
Extent
ix, 258 pages
Isbn
9789814623407
Isbn Type
(hardcover : alk. paper)
Lccn
2014024553
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)881721527

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