The Resource Turbulence, coherent structures, dynamical systems, and symmetry, Philip Holmes, John L. Lumley, and Gal Berkooz

Turbulence, coherent structures, dynamical systems, and symmetry, Philip Holmes, John L. Lumley, and Gal Berkooz

Label
Turbulence, coherent structures, dynamical systems, and symmetry
Title
Turbulence, coherent structures, dynamical systems, and symmetry
Statement of responsibility
Philip Holmes, John L. Lumley, and Gal Berkooz
Creator
Contributor
Subject
Language
eng
Summary
  • For turbulent flows at relatively low speeds there exists a well-established mathematical model in the incompressible Navier-Stokes equations. Why then is the "problem of turbulence" so difficult? One reason is that these non-linear partial differential equations appear to be insoluble, except through numerical simulations, which offer useful approximations, but little direct understanding. Three recent developments offer new hope. Firstly the discovery by experimentalists of coherent structures in certain turbulent flows. Secondly, the suggestion that strange attractors and other ideas from finite-dimensional dynamical systems theory might play a role in the analysis of the governing equations. And, finally, the introduction of the Karhunen-Loeve or proper orthogonal decomposition
  • This book introduces these developments and describes how they may be combined to create low-dimensional models of turbulence, resolving only by the coherent structures. This book will interest engineers, especially in the aerospace, chemical, civil, environmental, and geophysical areas, as well as physicists and applied mathematicians concerned with turbulence
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1945-
http://library.link/vocab/creatorName
Holmes, Philip
Illustrations
illustrations
Index
index present
LC call number
QA913
LC item number
.H65 1996
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1930-
http://library.link/vocab/relatedWorkOrContributorName
  • Lumley, John L.
  • Berkooz, Gal
http://library.link/vocab/subjectName
  • Turbulence
  • Differentiable dynamical systems
  • couche limite
  • équation Navier-Stokes
  • écoulement turbulent
  • symétrie
  • système dynamique
  • cohérence
  • turbulence
  • Differentiable dynamical systems
  • Turbulence
  • Turbulentie
  • Dynamische systemen
  • Differentieerbaarheid
  • Systèmes dynamiques
  • Symétrie (physique)
  • Turbulence
  • Flots (dynamique différentiable)
  • Turbulente Strömung
  • Differenzierbares dynamisches System
  • Kohärenz
  • Dynamisches System
  • Symmetrie
  • Mathematische Methode
Label
Turbulence, coherent structures, dynamical systems, and symmetry, Philip Holmes, John L. Lumley, and Gal Berkooz
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 401-416) 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
pt. 1. Turbulence. 1. Introduction. 2. Coherent structures. 3. Proper orthogonal decomposition. 4. Galerkin projection -- pt. 2. Dynamical systems. 5. Qualitative theory. 6. Symmetry. 7. One-dimensional "turbulence" 8. Randomly perturbed systems -- pt. 3. The boundary layer. 9. Low-dimensional models. 10. Behavior of the models -- pt. 4. Other applications and related work. 11. Some other fluid problems. 12. Review: prospects for rigor
Dimensions
24 cm.
Extent
xviii, 420 pages
Isbn
9780521551427
Lccn
96013575
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)34472476
  • (OCoLC)ocm34472476
Label
Turbulence, coherent structures, dynamical systems, and symmetry, Philip Holmes, John L. Lumley, and Gal Berkooz
Publication
Bibliography note
Includes bibliographical references (p. 401-416) 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
pt. 1. Turbulence. 1. Introduction. 2. Coherent structures. 3. Proper orthogonal decomposition. 4. Galerkin projection -- pt. 2. Dynamical systems. 5. Qualitative theory. 6. Symmetry. 7. One-dimensional "turbulence" 8. Randomly perturbed systems -- pt. 3. The boundary layer. 9. Low-dimensional models. 10. Behavior of the models -- pt. 4. Other applications and related work. 11. Some other fluid problems. 12. Review: prospects for rigor
Dimensions
24 cm.
Extent
xviii, 420 pages
Isbn
9780521551427
Lccn
96013575
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)34472476
  • (OCoLC)ocm34472476

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