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: Global existence and large time behavior of solutions to reaction-diffusion systems with large diffusion coefficients
  name:
    name part: Cupps, Brian Perry
    name part: 1961-
    role:
      role term: creator
  name:
    name part: Anderson, Richard K.
    role:
      role term: degree committee member.
  name:
    name part: Barrow, David L.
    role:
      role term: degree committee member.
  name:
    name part: Morgan, Jeffrey J.
    role:
      role term: degree supervisor.
  name:
    name part: Taliaferro, Steven D.
    role:
      role term: degree committee member.
  name:
    name part: Texas A & M University
    role:
      role term: degree granting institution.
  type of resource: text
  genre: bibliography
  genre: Academic theses.
  origin info:
    place:
      place term: xx
    date issued: 1994
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: vi, 63 leaves ; 28 cm
  abstract: Systems of semilinear parabolic partial differential equations arise naturally in the modeling of certain reaction-diffusion processes. We consider m com ponent systems of the form ut = D A u + f( u ) on (r, T) x fl w ith continuous nonnegative initial d ata and homogenous Neumann boundary conditions. Here D is an m x m diagonal m atrix with positive entries on the main diagonal, f! is a sm ooth bounded domain in R n and / : R m --» R m is continuously differentiable. We show that if an a priori L1 estim ate which is independent of the diffusion coefficients and truncation is available for u and if the diffusion coefficients are sufficiently large, then the solution u exists for all time, is uniformly bounded and decays exponentially to its spatial average in L°°(fl). This work extends earlier work of Conway, Hoff and Smoller and, in addition, provides a global existence result with relatively weak assum ptions on the vector field /.
  note: by Brian Perry Cupps.
  note: "Major subject: Mathematics."
  note: Vita.
  note: Ph. D. Texas A & M University 1994
  note: Includes bibliographical references.
  subject:
    topic: Major mathematics
  identifier: https://hdl.handle.net/1969.1/DISSERTATIONS-1554219
  identifier: http://proxy.library.tamu.edu/login
  related item:
    location:
      url: https://hdl.handle.net/1969.1/DISSERTATIONS-1554219
  related item:
    location:
      url: http://proxy.library.tamu.edu/login
  record info:
    record content source: TXA
    record creation date: 960531
    record change date: 20220103134937.0
    record identifier: in00001298912
    language of cataloging:
      language term: eng