The Resource Infinite-dimensional dynamical systems in mechanics and physics, Roger Temam

Infinite-dimensional dynamical systems in mechanics and physics, Roger Temam

Label
Infinite-dimensional dynamical systems in mechanics and physics
Title
Infinite-dimensional dynamical systems in mechanics and physics
Statement of responsibility
Roger Temam
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Temam, Roger
Illustrations
illustrations
Index
index present
LC call number
QA1
LC item number
.A647 vol. 68 1997
Literary form
non fiction
Nature of contents
bibliography
Series statement
Applied mathematical sciences
Series volume
68
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Boundary value problems
  • Nonlinear theories
  • Boundary value problems
  • Differentiable dynamical systems
  • Nonlinear theories
  • Evolutionsgleichung
  • Nichtlineares dynamisches System
Label
Infinite-dimensional dynamical systems in mechanics and physics, Roger Temam
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [613]-643) 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
1. General results and concepts on invariant sets and attractors -- 2. Elements of functional analysis -- 3. Attractors of the dissipative evolution equation of the first order in time: reaction-diffusion equations. Fluid mechanics and pattern formation equations -- 4. Attractors of dissipative wave equations -- 5. Lyapunov exponents and dimensions of attractors -- 6. Explicit bounds on the number of degrees of freedom and the dimension of attractors of some physical systems -- 7. Non-well-posed problems, unstable manifolds, lyapunov functions, and lower bounds on dimensions -- 8. The cone and squeezing properties. Inertial manifolds -- 9. Inertial manifolds and slow manifolds. The non-self-adjoint case -- 10. Approximation of attractors and inertial manifolds. Convergent families of approximate inertial manifolds -- Appendix: Collective Sobolev inequaliies
Dimensions
24 cm.
Edition
2nd ed.
Extent
xxi, 648 pages
Isbn
9780387948669
Lccn
96033318
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)35172655
  • (OCoLC)ocm35172655
Label
Infinite-dimensional dynamical systems in mechanics and physics, Roger Temam
Publication
Bibliography note
Includes bibliographical references (p. [613]-643) 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
1. General results and concepts on invariant sets and attractors -- 2. Elements of functional analysis -- 3. Attractors of the dissipative evolution equation of the first order in time: reaction-diffusion equations. Fluid mechanics and pattern formation equations -- 4. Attractors of dissipative wave equations -- 5. Lyapunov exponents and dimensions of attractors -- 6. Explicit bounds on the number of degrees of freedom and the dimension of attractors of some physical systems -- 7. Non-well-posed problems, unstable manifolds, lyapunov functions, and lower bounds on dimensions -- 8. The cone and squeezing properties. Inertial manifolds -- 9. Inertial manifolds and slow manifolds. The non-self-adjoint case -- 10. Approximation of attractors and inertial manifolds. Convergent families of approximate inertial manifolds -- Appendix: Collective Sobolev inequaliies
Dimensions
24 cm.
Edition
2nd ed.
Extent
xxi, 648 pages
Isbn
9780387948669
Lccn
96033318
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)35172655
  • (OCoLC)ocm35172655

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