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: Classical and Stochastic Laplacian Growth
  name:
    name part: Gustafsson, Björn.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Teodorescu, Razvan.
    role:
      role term: author.
  name:
    name part: Vasil’ev, Alexander.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 317 p. 52 illus., 13 illus. in color. online resource.
  abstract: This monograph covers a multitude of concepts, results, and research topics originating from a classical moving-boundary problem in two dimensions (idealized Hele-Shaw flows, or classical Laplacian growth), which has strong connections to many exciting modern developments in mathematics and theoretical physics. Of particular interest are the relations between Laplacian growth and the infinite-size limit of ensembles of random matrices with complex eigenvalues; integrable hierarchies of differential equations and their spectral curves; classical and stochastic Löwner evolution and critical phenomena in two-dimensional statistical models; weak solutions of hyperbolic partial differential equations of singular-perturbation type; and resolution of singularities for compact Riemann surfaces with anti-holomorphic involution. The book also provides an abundance of exact classical solutions, many explicit examples of dynamics by conformal mapping as well as a solid foundation of potential theory. An extensive bibliography covering over twelve decades of results and an introduction rich in historical and biographical details complement the eight main chapters of this monograph. Given its systematic and consistent notation and background results, this book provides a self-contained resource. It is accessible to a wide readership, from beginner graduate students to researchers from various fields in natural sciences and mathematics.
  table of contents: 1 Introduction and Background -- 2 Rational and Other Explicit Strong Solutions -- 3 Weak Solutions and Related Topics -- 4 Geometric Properties -- 5 Capacities and Isoperimetric Inequalities -- 6 Laplacian Growth and Random Matrix Theory -- 7 Integrability and Moments -- 8 Shape Evolution and Integrability -- 9 Stochastic Löwner and Löwner-Kufarev Evolution -- References -- List of Symbols -- Index.
  note: by Björn Gustafsson, Razvan Teodorescu, Alexander Vasil’ev.
  subject:
    topic: Mathematics
  subject:
    topic: Functions of complex variables
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematical physics
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Physics
  subject:
    topic: Numerical Analysis
  subject:
    topic: Functions of a Complex Variable
  classification: QA401-425
  classification: QC19.2-20.85
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Advances in Mathematical Fluid Mechanics
  identifier: 9783319082875
  identifier: http://dx.doi.org/10.1007/978-3-319-08287-5
  record info:
    record creation date: 141114
    record change date: 20151031101110.0
    record identifier: 978-3-319-08287-5