rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Infinite-dimensional dynamical systems in mechanics and physics
  name:
    name part: Temam, Roger.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1997
    edition: Second edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xxi, 648 pages) : illustrations.
  abstract: In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.
  table of 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.
  note: Roger Temam.
  note: Includes bibliographical references (pages [613]-643) and index.
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Boundary value problems
  subject:
    topic: Nonlinear theories
  subject:
    topic: Evolutionsgleichung
  subject:
    topic: Nichtlineares dynamisches System
  subject:
    topic: Boundary value problems
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Nonlinear theories
  classification: QA1 .A647 vol. 68 1997eb
  classification: 510
  classification: PHY 066f
  classification: SK 950
  related item:
    title info:
      title: Infinite-dimensional dynamical systems in mechanics and physics
    name:
      name part: Temam, Roger.
    origin info:
      edition: Second edition
    identifier: (DLC) 96033318
    identifier: (OCoLC)35172655
  related item:
    title info:
      title: Applied mathematical sciences (Springer-Verlag New York Inc.) ; volume 68
  identifier: 9781461206453 (electronic bk.)
  identifier: 1461206456 (electronic bk.)
  identifier: 038794866X
  identifier: 9780387948669
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: GW5XE
    record creation date: 140711
    record change date: 20260420212313.1
    record identifier: in00003555176
    language of cataloging:
      language term: eng