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:
    non sort: The
    title: Periodic Unfolding Method
    sub title: Theory and Applications to Partial Differential Problems
  name:
    name part: Cioranescu, Doina.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Damlamian, Alain.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Griso, Georges.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: si
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 518 p. 1 illus. online resource.
  abstract: This is the first book on the subject of the periodic unfolding method (originally called "éclatement périodique" in French), which was originally developed to clarify and simplify many questions arising in the homogenization of PDE's. It has since led to the solution of some open problems. Written by the three mathematicians who developed the method, the book presents both the theory as well as numerous examples of applications for partial differential problems with rapidly oscillating coefficients: in fixed domains (Part I), in periodically perforated domains (Part II), and in domains with small holes generating a strange term (Part IV). The method applies to the case of multiple microscopic scales (with finitely many distinct scales) which is connected to partial unfolding (also useful for evolution problems). This is discussed in the framework of oscillating boundaries (Part III). A detailed example of its application to linear elasticity is presented in the case of thin elastic plates (Part V). Lastly, a complete determination of correctors for the model problem in Part I is obtained (Part VI). This book can be used as a graduate textbook to introduce the theory of homogenization of partial differential problems, and is also a must for researchers interested in this field.
  table of contents: Unfolding operators in fixed domains -- Advanced topics for unfolding -- Homogenization in fixed domains -- Unfolding operators in perforated domains -- Homogenization in perforated domains -- A Stokes problem in a partially porous medium -- Partial unfolding: a brief primer -- Oscillating boundaries -- Unfolding operators: the case of "small holes" -- Homogenization in domains with "small holes" -- Homogenization of an elastic thin plate -- The scale-splitting operators revisited -- * Strongly oscillating nonhomogeneous Dirichlet condition -- Some sharp error estimates.
  note: by Doina Cioranescu, Alain Damlamian, Georges Griso.
  subject:
    topic: Partial differential equations
  subject:
    topic: Mechanics
  subject:
    topic: Mechanics, Applied
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Theoretical and Applied Mechanics
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Series in Contemporary Mathematics, 3
  identifier: 9789811330322
  identifier: https://doi.org/10.1007/978-981-13-3032-2
  record info:
    record creation date: 181103
    record change date: 20191026162729.0
    record identifier: 978-981-13-3032-2