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: Handbook of differential equations
    sub title: evolutionary equations
  name:
    name part: Dafermos, C. M. (Constantine M.)
  name:
    name part: Feireisl, Eduard.
  name:
    name part: Pokorný, Milan.
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  genre: handbooks.
  genre: Handbooks and manuals
  genre: Handbooks and manuals.
  genre: Guides et manuels.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    place:
      place term: Boston
    publisher: Elsevier/North Holland
    date issued: 2004-
    date issued: 2004
    date issued: 9999
    edition: 1st ed.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource : illustrations
  abstract: The material collected in this volume reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear parabolic PDE's. Articles will highlight the present as well as expected future directions of development of the field with particular emphasis on applications. The article by Ambrosio and Savař discusses the most recent development in the theory of gradient flow of probability measures. After an introduction reviewing the properties of the Wasserstein space and corresponding subdifferential calculus, applications are given to evolutionary partial differential equations. The contribution of Herrero provides a description of some mathematical approaches developed to account for quantitative as well as qualitative aspects of chemotaxis. Particular attention is paid to the limits of cell's capability to measure external cues on the one hand, and to provide an overall description of aggregation models for the slim mold Dictyostelium discoideum on the other. The chapter written by Masmoudi deals with a rather different topic - examples of singular limits in hydrodynamics. This is nowadays a well-studied issue given the amount of new results based on the development of the existence theory for rather general systems of equations in hydrodynamics. The paper by DeLellis addreses the most recent results for the transport equations with regard to possible applications in the theory of hyperbolic systems of conservation laws. Emphasis is put on the development of the theory in the case when the governing field is only a BV function. The chapter by Rein represents a comprehensive survey of results on the Poisson-Vlasov system in astrophysics. The question of global stability of steady states is addressed in detail. The contribution of Soner is devoted to different representations of non-linear parabolic equations in terms of Markov processes. After a brief introduction on the linear theory, …
  table of contents: Preface -- Contributors -- 1.L. Ambriosio, G. Savař: Gradient flows of probability measures -- 2.M.A. Herrero: The mathematics of chemotaxis -- 3.N. Masmoudi: Examples of singular limits in hydrodynamics -- 4. C. DeLellis: Notes on hyperbolic systems of conservation laws and transport equations -- 5. G. Rein: Collisionless kinetic equations from astrophysics -- the Vlasov-Poisson system -- 6. H.M. Stochastic representations for non-linear parabolic PDE's -- 7. E. Zuazua Controllability and observability of partial differential equations: Some results and open problems -- Index.
  note: edited by C.M. Dafermos, E. Feireisl.
  note: Vol. 5 edited by C.M. Dafermos, Milan Pokorný.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references and indexes.
  subject:
    topic: Differential equations
  subject:
    topic: Evolution equations
  subject:
    topic: Differential equations, Partial
  subject:
    topic: Differential equations
    genre: Handbooks, manuals, etc
  subject:
    topic: Équations différentielles
    genre: Guides, manuels, etc
  subject:
    topic: Équations différentielles
  subject:
    topic: Équations d'évolution
  subject:
    topic: Équations aux dérivées partielles
  subject:
    topic: Differential equations
  subject:
    topic: Differential equations, Partial
  subject:
    topic: Evolution equations
  classification: QA371 .H358 2004eb
  classification: 515.35
  classification: 31.44
  related item:
    title info:
      title: Handbook of differential equations
    origin info:
      publisher: Amsterdam ; Boston : Elsevier/North Holland, 2004-2009
      edition: 1st ed.
    identifier: (DLC) 2005052581
    identifier: (OCoLC)61228805
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  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 070806
    record change date: 20260326152026.1
    record identifier: in00005733216
    language of cataloging:
      language term: eng