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: Fundamental directions in mathematical fluid mechanics
  name:
    name part: Galdi, Giovanni P. (Giovanni Paolo)
    name part: 1947-
  name:
    name part: Heywood, J. G. (John Groves)
    name part: 1940-
  name:
    name part: Rannacher, Rolf.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2000
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (viii, 293 pages) : illustrations.
  abstract: This set of six papers, written by eminent experts in the field, is concerned with that part of fluid mechanics that seeks its foundation in the rigorous mathematical treatment of the Navier-Stokes equations. In particular, an overview is given on state of research regarding the global existence of smooth solutions, for which uniqueness and continuous dependence on the data can be proven. Then, the book moves on to a discussion of recent developments of the finite element Galerkin method, with an emphasis on a priori and a posteriori error estimation and adaptive mesh refinement. A further article elaborates on spectral Galerkin methods and their extension to domains with complicated geometries by employing the techniques of domain decomposition. The rigorous explanation of bifurcation phenomena in fluids has long been a central topic in the theory of Navier-Stokes equations. Here, bifurcation theory is introduced in a general setting that is particularly convenient for application to such problems. Finally, the extension of Navier-Stokes theory to compressible viscous flows, studied in two more papers, opens up a fascinating panorama of theoretical and numerical problems. While some of the contributions are expository, others primarily present new results within a wider context and fuller exposition than is usual for research papers. The book is meant to introduce researchers and advanced students to the research level on some of the most important topics of the field.
  table of contents: An introduction to the Navier-Stokes initial-boundary value problem / Giovanni P. Galdi -- Spectral approximation of Navier-Stokes equations / P. Gervasio, A. Quarteroni and F. Saleri -- Simple proofs of bifurcation theorems / John G. Heywood and Wayne Nagata -- On the steady transport equation / John G. Heywood and Mariarosaria Padula -- On the existence and uniqueness theory for the steady compressible viscous flow / John G. Heywood and Mariarosaria Padula -- Finite element methods for the incompressible Navier-Stokes equations / Rolf Rannacher.
  note: Giovanni P. Galdi, John G. Heywood, Rolf Rannacher, editors.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references.
  subject:
    topic: Fluid mechanics
  subject:
    topic: Fluid mechanics
  subject:
    topic: Navier-Stokes, Équations de
  subject:
    topic: Fluides, Mécanique des
  subject:
    topic: Strömungsmechanik
    topic: Navier-Stokes-Gleichung
    genre: Aufsatzsammlung
  subject:
    topic: Navier-Stokes-Gleichung
    topic: Strömungsmechanik
    genre: Aufsatzsammlung
  classification: QA901 .F86 2000
  classification: 532/.001/51
  classification: SK 950
  classification: UF 4000
  related item:
    title info:
      title: Fundamental directions in mathematical fluid mechanics
    origin info:
      publisher: Basel, Switzerland ; Boston : Birkhäuser Verlag, ©2000
    identifier: (DLC) 00060839
    identifier: (OCoLC)44720572
  related item:
    title info:
      title: Advances in mathematical fluid mechanics
  identifier: 9783034884242 (electronic bk.)
  identifier: 3034884249 (electronic bk.)
  identifier: 3764364149 (alk. paper)
  identifier: 9783764364144 (alk. paper)
  identifier: 0817664149 (alk. paper)
  identifier: 9780817664145 (alk. paper)
  identifier: 9783034895613
  identifier: 3034895615
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 101112
    record change date: 20260420205937.5
    record identifier: in00003509957
    language of cataloging:
      language term: eng