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: Nonlinear Partial Differential Equations
    sub title: Asymptotic Behavior of Solutions and Self-Similar Solutions
  name:
    name part: Giga, Mi-Ho.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Giga, Yoshikazu.
    role:
      role term: author.
  name:
    name part: Saal, Jürgen.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 294 p. 7 illus. online resource.
  abstract: The main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts with recent developments and several open problems. With challenging exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier–-Stokes equations, mean curvature flow equations, and other important equations describing real phenomena, this book is written for graduate students and researchers, not only in mathematics but also in other disciplines. Nonlinear Partial Differential Equations will serve as an excellent textbook for a first course in modern analysis or as a useful self-study guide. Key topics in nonlinear partial differential equations as well as several fundamental tools and methods are presented. The only prerequisite required is a basic course in calculus.
  table of contents: Asymptotic Behavior of Solutions of Partial Differential Equations -- Behavior Near Time Infinity of Solutions of the Heat Equation -- Behavior Near Time Infinity of Solutions of the Vorticity Equations -- Self-Similar Solutions for Various Equations -- Useful Analytic Tools -- Various Properties of Solutions of the Heat Equation -- Compactness Theorems -- Calculus Inequalities -- Convergence Theorems in the Theory of Integration.
  note: by Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Approximation theory
  subject:
    topic: Functional analysis
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Functional Analysis
  subject:
    topic: Analysis
  subject:
    topic: Approximations and Expansions
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Progress in Nonlinear Differential Equations and Their Applications ; 79
  identifier: 9780817646516
  identifier: http://dx.doi.org/10.1007/978-0-8176-4651-6
  record info:
    record creation date: 100601
    record change date: 20151204164414.0
    record identifier: 978-0-8176-4651-6