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 Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere
  name:
    name part: Skiba, Yuri N.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 239 p. 34 illus. online resource.
  abstract: This book presents selected mathematical problems involving the dynamics of a two-dimensional viscous and ideal incompressible fluid on a rotating sphere. In this case, the fluid motion is completely governed by the barotropic vorticity equation (BVE), and the viscosity term in the vorticity equation is taken in its general form, which contains the derivative of real degree of the spherical Laplace operator. This work builds a bridge between basic concepts and concrete outcomes by pursuing a rich combination of theoretical, analytical and numerical approaches, and is recommended for specialists developing mathematical methods for application to problems in physics, hydrodynamics, meteorology and geophysics, as well for upper undergraduate or graduate students in the areas of dynamics of incompressible fluid on a rotating sphere, theory of functions on a sphere, and flow stability.
  table of contents: Chapter 01- Introduction -- Chapter 02- Spaces of Functions on a Sphere -- Chapter 03- Solvability of Vorticity Equation on a Sphere -- Chapter 04- Dynamics of Ideal Fluid on a Sphere -- Chapter 05- Stability of Rossby-Haurwitz (RH) Waves -- Chapter 06- Stability of Modons and Wu-Verkley waves -- Chapter 07- Linear and Nonlinear Stability of Flows -- Chapter 08- Numerical Study of Linear Stability -- References.
  note: by Yuri N. Skiba.
  subject:
    topic: Mathematics
  subject:
    topic: Atmospheric sciences
  subject:
    topic: Mathematical physics
  subject:
    topic: Fluids
  subject:
    topic: Environmental sciences
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Applications in the Physical Sciences
  subject:
    topic: Math. Appl. in Environmental Science
  subject:
    topic: Atmospheric Sciences
  subject:
    topic: Fluid- and Aerodynamics
  classification: QC19.2-20.85
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783319654126
  identifier: http://dx.doi.org/10.1007/978-3-319-65412-6
  record info:
    record creation date: 170921
    record change date: 20170921162020.0
    record identifier: 978-3-319-65412-6