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: Waves in Continuous Media
  name:
    name part: Gavrilyuk, S. L.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Makarenko, N.I.
    role:
      role term: author.
  name:
    name part: Sukhinin, S.V.
    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: VIII, 141 p. 15 illus. online resource.
  abstract: Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants and conservation laws for quasilinear systems of equations, construct and analyze solutions with weak or strong discontinuities, and how to investigate equations with dispersion and to construct travelling wave solutions for models reducible to nonlinear evolution equations. Chapter 3 deals with surface and internal waves in an incompressible fluid. The efficiency of mathematical methods is demonstrated on a hierarchy of approximate submodels generated from the Euler equations of homogeneous and non-homogeneous fluids. The self-contained presentations of the material is complemented by 200+ problems of different level of difficulty, numerous illustrations, and bibliographical recommendations.
  table of contents: 1. Hyperbolic waves -- 2. Dispersive waves -- 3. Water waves.
  note: by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin.
  subject:
    topic: Mathematics
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Partial Differential Equations
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Geosystems Mathematics and Computing
  identifier: 9783319492773
  identifier: http://dx.doi.org/10.1007/978-3-319-49277-3
  record info:
    record creation date: 170202
    record change date: 20170202111641.0
    record identifier: 978-3-319-49277-3