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: The
    title: Navier-Stokes equations
    sub title: an elementary functional analytic approach
  name:
    name part: Sohr, Hermann
    name part: 1938-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2001
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (x, 367 pages)
  abstract: The primary objective of this monograph is to develop an elementary and self-contained approach to the mathematical theory of a viscous, incompressible fluid in a domain of the Euclidean space, described by the equations of Navier-Stokes. Moreover, the theory is presented for completely general domains, in particular, for arbitrary unbounded, nonsmooth domains. Therefore, restriction was necessary to space dimensions two and three, which are also the most significant from a physical point of view. For mathematical generality, however, the linearized theory is expounded for general dimensions higher than one. Although the functional analytic approach developed here is, in principle, known to specialists, the present book fills a gap in the literature providing a systematic treatment of a subject that has been documented until now only in fragments. The book is mainly directed to students familiar with basic tools in Hilbert and Banach spaces. However, for the readers convenience, some fundamental properties of, for example, Sobolev spaces, distributions and operators are collected in the first two chapters. - - - The book is written in a well arranged way, easy to survey and with utilization of the newest results. For its study, it is necessary to know only the basic functional analytic tools in Hilbert and Banach spaces. It is determined for an extensive circle of readers, from students up to experts in science and also for specialists in the field. (Zentralblatt MATH) The authors purpose in this book is to develop an elementary and self-contained approach to the mathematical theory of the viscous incompressible Navier-Stokes equations from basic functional analytic tools. Another objective is to develop the results in reasonably full generality, in particular to allow for arbitrary nonsmooth, possibly unbounded, spatial domains. (Mathematical Reviews) .
  table of contents: I. Introduction. 1. Basic notations. 2. Description of the functional analytic approach. 3. Function spaces -- II. Preliminary Results. 1. Embedding properties and related facts. 2. The operators [merge] and div. 3. Elementary functional analytic properties -- III. The Stationary Navier-Stokes Equations. 1. Weak solutions of the Stokes equations. 2. The Stokes operator A. 3. The stationary Navier-Stokes equations -- IV. The Linearized Nonstationary Theory. 1. Preliminaries for the time dependent linear theory. 2. Theory of weak solutions in the linearized case -- V. The Full Nonlinear Navier-Stokes Equations. 1. Weak solutions. 2. Approximation of the Navier-Stokes equations.
  note: Hermann Sohr.
  note: Includes bibliographical references (pages [355]-363) and index.
  subject:
    topic: Navier-Stokes equations
  subject:
    topic: Navier-Stokes, Équations de
  subject:
    topic: Navier-Stokes-vergelijkingen
  subject:
    topic: Navier-Stokes equations
  subject:
    topic: Navier-Stokes-Gleichung
  subject:
    topic: Navier-Stokes-vergelijkingen
  subject:
    topic: Navier-Stokes-Gleichung
  subject:
    topic: Navier-Stokes equations
  classification: QA913 .S593 2001eb
  classification: 515/.353
  classification: 31.45
  classification: SK 540
  classification: UF 4000
  classification: SK 950
  related item:
    title info:
      title: Navier-Stokes equations
    name:
      name part: Sohr, H. (Hermann).
    identifier: (DLC) 2001043020
    identifier: (OCoLC)47665219
  related item:
    title info:
      title: Birkhäuser advanced texts
  identifier: 9783034805513 (electronic bk.)
  identifier: 3034805519 (electronic bk.)
  identifier: 3764365455
  identifier: 9783764365455
  identifier: 0817665455
  identifier: 9780817665456
  identifier: 9783034805506
  identifier: 3034805500
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  identifier: 3034882556 (electronic bk.)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: GW5XE
    record creation date: 140711
    record change date: 20260420214250.6
    record identifier: in00003554090
    language of cataloging:
      language term: eng