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: Variational Problems in Materials Science
  name:
    name part: Maso, Gianni dal.
    role:
      role term: editor.
  name:
    name part: DeSimone, Antonio.
    role:
      role term: editor.
  name:
    name part: Tomarelli, Franco.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 162 p. online resource.
  abstract: This volume contains the proceedings of the international workshop Variational Problems in Materials Science, which was jointly organized by the International School for Advanced Studies (SISSA) of Trieste and by the Dipartimento di Matematica ``Francesco Brioschi'' of the Politecnico di Milano. The conference took place at SISSA from September 6 to 10, 2004. The study of variational problems in materials science has a long history, and it has contributed a lot in shaping our understanding on how materials work and perform. There is, however, a recent renewed interest in this subject as a consequence of the fruitful interaction between mathematical analysis and the modelling of new, technologically advanced materials. On one hand, a sizable group of analysts has found in materials science a valuable source of inspiration for new variational theories and interesting problems. On the other hand, workers in the fields of theoretical, applied, and computational mechanics are increasingly using innovative variational techniques. The workshop intended to review some of the recent advances stemming from the successful interaction between the two communities, and to identify promising areas for further cooperation. Talks were devoted to a wide spectrum of analytical techniques and of physical systems and phenomena. They included the study of BV vector fields, path functionals over Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and plasticity, systems with hysteresis or with interfacial energies, evolution of interfaces, multi-scale analysis in ferromagnetism and ferroelectricity, variational techniques for the study of crystal plasticity, of dislocations, and of concentrations in Ginzburg-Landau functionals, concentrated contact interactions, and phase transitions in biaxial liquid crystals. This volume collects contributions authored or co-authored by 11 of the 20 speakers invited to deliver l…
  table of contents: Remarks on a Multiscale Approach to Grain Growth in Polycrystals -- Another Brick in the Wall -- Variational Problems for Functionals Involving the Value Distribution -- Bi-Modal Cohesive Energies -- Criterion for Tricritical Points in Liquid Crystal Phases -- Asymptotics of Boundary Value Problems for Supercritical Ginzburg-Landau Energies -- An Introduction to H-measures and Their Applications -- A Singular Perturbation Result with a Fractional Norm -- Smooth and Creased Equilibria for Elastic-plastic Plates and Beams -- On Concentrated Contact Interactions -- Discontinuous Hysteresis and P.D.E.s.
  note: edited by Gianni dal Maso, Antonio DeSimone, Franco Tomarelli.
  subject:
    topic: Materials science
  subject:
    topic: Partial differential equations
  subject:
    topic: Computer mathematics
  subject:
    topic: Mathematical models
  subject:
    topic: Calculus of variations
  subject:
    topic: Materials Science
  subject:
    topic: Materials Science, general
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Computational Mathematics and Numerical Analysis
  subject:
    topic: Computational Science and Engineering
  subject:
    topic: Mathematical Modeling and Industrial Mathematics
  classification: TA401-492
  classification: 620.11
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Progress in Nonlinear Differential Equations and Their Applications ; 68
  identifier: 9783764375652
  identifier: http://dx.doi.org/10.1007/3-7643-7565-5
  record info:
    record creation date: 100301
    record change date: 20151204160552.0
    record identifier: 978-3-7643-7565-2