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: Fourier Analysis and Nonlinear Partial Differential Equations
  name:
    name part: Bahouri, Hajer.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Chemin, Jean-Yves.
    role:
      role term: author.
  name:
    name part: Danchin, Raphaël.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 524 p. online resource.
  abstract: In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations. It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.
  table of contents: Preface -- 1. Basic analysis -- 2. Littlewood-Paley theory -- 3. Transport and transport-diffusion equations -- 4. Quasilinear symmetric systems -- 5. Incompressible Navier-Stokes system -- 6. Anisotropic viscosity -- 7. Euler system for perfect incompressible fluids -- 8. Strichartz estimates and applications to semilinear dispersive equations -- 9. Smoothing effect in quasilinear wave equations -- 10 -- The compressible Navier-Stokes system -- References. - List of notations -- Index.
  note: by Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Partial Differential Equations
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 343
  identifier: 9783642168307
  identifier: http://dx.doi.org/10.1007/978-3-642-16830-7
  record info:
    record creation date: 110103
    record change date: 20151121051109.0
    record identifier: 978-3-642-16830-7