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: Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model
  name:
    name part: Suzuki, Takashi.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: fr
    date issued: 2015
    edition: 2nd ed. 2015.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 444 p. online resource.
  abstract: Mean field approximation has been adopted to describe macroscopic phenomena from microscopic overviews. It is still in progress; fluid mechanics, gauge theory, plasma physics, quantum chemistry, mathematical oncology, non-equilibirum thermodynamics. spite of such a wide range of scientific areas that are concerned with the mean field theory, a unified study of its mathematical structure has not been discussed explicitly in the open literature. The benefit of this point of view on nonlinear problems should have significant impact on future research, as will be seen from the underlying features of self-assembly or bottom-up self-organization which is to be illustrated in a unified way. The aim of this book is to formulate the variational and hierarchical aspects of the equations that arise in the mean field theory from macroscopic profiles to microscopic principles, from dynamics to equilibrium, and from biological models to models that arise from chemistry and physics.
  table of contents: Chemotaxis -- Time Relaxization -- Toland Duality -- Phenomenology -- Phase Transition -- Critical Phenomena of Isolated Systems -- Self-Interacting Fluids -- Magnetic Fields -- Boltzmann-Poisson Equation -- Particle Kinetics -- Parabolic Equations -- Gauge Fields -- Higher- Dimensional Blowup.
  note: by Takashi Suzuki.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Calculus of variations
  subject:
    topic: Biomathematics
  subject:
    topic: Mathematical physics
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Mathematical Physics
  subject:
    topic: Genetics and Population Dynamics
  subject:
    topic: Physiological, Cellular and Medical Topics
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Atlantis Studies in Mathematics for Engineering and Science, 11
  identifier: 9789462391543
  identifier: http://dx.doi.org/10.2991/978-94-6239-154-3
  record info:
    record creation date: 151119
    record change date: 20151119171854.0
    record identifier: 978-94-6239-154-3