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: Stabilization of Navier–Stokes Flows
  name:
    name part: Barbu, Viorel.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 276 p. online resource.
  abstract: Stabilization of Navier–Stokes Flows presents recent notable progress in the mathematical theory of stabilization of Newtonian fluid flows. Finite-dimensional feedback controllers are used to stabilize exponentially the equilibrium solutions of Navier–Stokes equations, reducing or eliminating turbulence. Stochastic stabilization and robustness of stabilizable feedback are also discussed. The text treats the questions: • What is the structure of the stabilizing feedback controller? • How can it be designed using a minimal set of eigenfunctions of the Stokes–Oseen operator? The analysis developed here provides a rigorous pattern for the design of efficient stabilizable feedback controllers to meet the needs of practical problems and the conceptual controllers actually detailed will render the reader’s task of application easier still. Stabilization of Navier–Stokes Flows avoids the tedious and technical details often present in mathematical treatments of control and Navier–Stokes equations and will appeal to a sizeable audience of researchers and graduate students interested in the mathematics of flow and turbulence control and in Navier-Stokes equations in particular. The chief points of linear functional analysis, linear algebra, probability theory and general variational theory of elliptic, parabolic and Navier–Stokes equations are reviewed in an introductory chapter and at the end of chapters 3 and 4.
  table of contents: Preliminaries -- Stabilization of Abstract Parabolic Systems -- Stabilization of Navier–Stokes Flows -- Stabilization by Noise of Navier–Stokes Equations -- Robust Stabilization of the Navier–Stokes Equation via the H-infinity Control Theory.
  note: by Viorel Barbu.
  subject:
    topic: Engineering
  subject:
    topic: Partial differential equations
  subject:
    topic: System theory
  subject:
    topic: Fluids
  subject:
    topic: Fluid mechanics
  subject:
    topic: Control engineering
  subject:
    topic: Engineering
  subject:
    topic: Control
  subject:
    topic: Systems Theory, Control
  subject:
    topic: Fluid- and Aerodynamics
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Engineering Fluid Dynamics
  classification: TJ212-225
  classification: 629.8
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Communications and Control Engineering
  identifier: 9780857290434
  identifier: http://dx.doi.org/10.1007/978-0-85729-043-4
  record info:
    record creation date: 101119
    record change date: 20151125212425.0
    record identifier: 978-0-85729-043-4