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: Mathematical Foundation of Turbulent Viscous Flows
    sub title: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, SEptember 1-5, 2003
  name:
    name part: Cannone, Marco.
    role:
      role term: editor.
  name:
    name part: Miyakawa, Tetsuro.
    role:
      role term: editor.
  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: IX, 264 p. online resource.
  abstract: Five leading specialists reflect on different and complementary approaches to fundamental questions in the study of the Fluid Mechanics and Gas Dynamics equations. Constantin presents the Euler equations of ideal incompressible fluids and discusses the blow-up problem for the Navier-Stokes equations of viscous fluids, describing some of the major mathematical questions of turbulence theory. These questions are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations that is explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. Y. Meyer focuses on several nonlinear evolution equations - in particular Navier-Stokes - and some related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, whenever it is localized in space or in time variable. Ukai presents the asymptotic analysis theory of fluid equations. He discusses the Cauchy-Kovalevskaya technique for the Boltzmann-Grad limit of the Newtonian equation, the multi-scale analysis, giving the compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers.
  note: edited by Marco Cannone, Tetsuro Miyakawa.
  subject:
    topic: Mathematics
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Partial Differential Equations
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 1871
  identifier: 9783540324546
  identifier: http://dx.doi.org/10.1007/b11545989
  record info:
    record creation date: 100805
    record change date: 20160817102019.0
    record identifier: 978-3-540-32454-6