The Resource Navier-Stokes equations and nonlinear functional analysis, Roger Temam

Navier-Stokes equations and nonlinear functional analysis, Roger Temam

Label
Navier-Stokes equations and nonlinear functional analysis
Title
Navier-Stokes equations and nonlinear functional analysis
Statement of responsibility
Roger Temam
Creator
Contributor
Subject
Language
eng
Summary
This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behavior of solutions and attractors; and numerical analysis of the Navier-Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier-Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds. Inertial manifolds were first introduced under this name in 1985 and, since then, have been systematically studied for partial differential equations of the Navier-Stokes type. Inertial manifolds are a global version of central manifolds. When they exist they encompass the complete dynamics of a system, reducing the dynamics of an infinite system to that of a smooth, finite-dimensional one called the inertial system. Although the theory of inertial manifolds for Navier-Stokes equations is not complete at this time, there is already a very interesting and significant set of results which deserves to be known, in the hope that it will stimulate further research in this area. These results are reported in this edition
Member of
Cataloging source
CaBNvSL
Dewey number
532/.051/01515353
Illustrations
illustrations
Index
no index present
LC call number
QA911
LC item number
.T39 1995eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
CBMS-NSF regional conference series in applied mathematics
Series volume
66
Target audience
adult
Label
Navier-Stokes equations and nonlinear functional analysis, Roger Temam
Publication
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (pages 131-141)
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Part I: Questions related to the existence, uniqueness and regularity of solutions. Chapter 1: Representation of a flow: The Navier-Stokes equations -- Chapter 2: Functional setting of the equations -- Chapter 3: Existence and uniqueness theorems (mostly classical results) -- Chapter 4: New a priori estimates and applications -- Chapter 5: Regularity and fractional dimension -- Chapter 6: Successive regularity and compatibility conditions at t=0 (bounded case) -- Chapter 7: Analyticity in time -- Chapter 8: Lagrangian representation of the flow
  • Part II: Questions related to stationary solutions and functional invariant sets (attractors). Chapter 9: The Couette-Taylor experiment -- Chapter 10: Stationary solutions of the Navier-Stokes equations -- Chapter 11: The squeezing property -- Chapter 12: Hausdorff dimension of an attractor
  • Part III: Questions related to the numerical approximation. Chapter 13: Finite time approximation -- Chapter 14: Long time approximation of the Navier-Stokes equations -- Appendix: Inertial manifolds and Navier-Stokes equations
Control code
ocn718676273
Dimensions
unknown
Edition
2nd ed
Extent
1 online resource (xiv, 141 pages)
Form of item
online
Isbn
9781680157895
Lccn
94043733
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations
http://library.link/vocab/recordID
.b35800483
Specific material designation
remote
System control number
  • (OCoLC)718676273
  • knovel1611970059

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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