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: An
    title: Introduction to Navier'Stokes Equation and Oceanography
  name:
    name part: Tartar, Luc.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXVIII, 247 p. online resource.
  abstract: The Introduction to Navier-Stokes Equation and Oceanography corresponds to a graduate course in mathematics, taught at Carnegie Mellon University in the spring of 1999. Comments were added to the lecture notes distributed to the students, as well as short biographical information for all scientists mentioned in the text, the purpose being to show that the creation of scientific knowledge is an international enterprise, and who contributed to it, from where, and when. The goal of the course is to teach a critical point of view concerning the partial differential equations of continuum mechanics, and to show the need for developing new adapted mathematical tools.
  table of contents: Basic physical laws and units -- Radiation balance of atmosphere -- Conservations in ocean and atmosphere -- Sobolev spaces I -- Particles and continuum mechanics -- Conservation of mass and momentum -- Conservation of energy -- One-dimensional wave equation -- Nonlinear effects, shocks -- Sobolev spaces II -- Linearized elasticity -- Ellipticity conditions -- Sobolev spaces III -- Sobolev spaces IV -- Sobolev spaces V -- Sobolev embedding theorem -- Fixed point theorems -- Brouwer's topological degree -- Time-dependent solutions I -- Time-dependent solutions II -- Time-dependent solutions III -- Uniqueness in 2 dimensions -- Traces -- Using compactness -- Existence of smooth solutions -- Semilinear models -- Size of singular sets -- Local estimates, compensated integrability -- Coriolis force -- Equation for the vorticity -- Boundary conditions in linearized elasticity -- Turbulence, homogenization -- G-convergence and H-convergence -- One-dimensional homogenization, Young measures -- Nonlocal effects I -- Nonlocal effects II -- A model problem -- Compensated compactness I -- Compensated compactness II -- Differential forms -- The compensated compactness method -- H-measures and variants -- Biographical Information -- Abbreviations and Mathematical Notation.
  note: by Luc Tartar.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Partial differential equations
  subject:
    topic: Continuum physics
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Classical Continuum Physics
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes of the Unione Matematica Italiana, 1
  identifier: 9783540365457
  identifier: http://dx.doi.org/10.1007/3-540-36545-1
  record info:
    record creation date: 100301
    record change date: 20151204164817.0
    record identifier: 978-3-540-36545-7