1. Research UNE
  2. UNE
  3. Journal Article
Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/20243
Full metadata record
DC FieldValueLanguage
dc.contributor.authorDu, Yihongen
dc.contributor.authorLou, Bendongen
dc.contributor.authorZhou, Maolinen
dc.date.accessioned2017-03-24T13:51:00Z-
dc.date.issued2016-
dc.identifier.citationJournal of Elliptic and Parabolic Equations, 2(1), p. 297-321en
dc.identifier.issn2296-9039en
dc.identifier.issn2296-9020en
dc.identifier.urihttps://hdl.handle.net/1959.11/20243-
dc.description.abstractWe classify the long-time behavior of solutions to nonlinear diffusive equations of the form ut − Δu = f(u) for t > 0 and x over a variable domain Ω(t) ⊂ ℝN, with a Stefan condition for u over the free boundary Γ(t) = ∂Ω(t), and u(0,x) > 0 in Ω(0) = Ω0. For monostable type of f and bistable type of f, we obtain a rather complete classification of the long-time dynamical behavior of the solution to this nonlinear Stefan problem, and examine how the behavior changes when u(0, x) takes initial functions of the form σφ(x) and σ > 0 is varied.en
dc.languageenen
dc.publisherOrthogonal Editionsen
dc.relation.ispartofJournal of Elliptic and Parabolic Equationsen
dc.titleSpreading and Vanishing for Nonlinear Stefan Problems in High Space Dimensionsen
dc.typeJournal Articleen
dc.identifier.doi10.1007/bf03377406en
dc.subject.keywordsPartial Differential Equationsen
local.contributor.firstnameYihongen
local.contributor.firstnameBendongen
local.contributor.firstnameMaolinen
local.subject.for2008010110 Partial Differential Equationsen
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.profile.schoolSchool of Science and Technologyen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailydu@une.edu.auen
local.profile.emailmzhou6@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordune-20170302-093028en
local.publisher.placeSwitzerlanden
local.format.startpage297en
local.format.endpage321en
local.identifier.scopusid85071277851en
local.peerreviewedYesen
local.identifier.volume2en
local.identifier.issue1en
local.contributor.lastnameDuen
local.contributor.lastnameLouen
local.contributor.lastnameZhouen
dc.identifier.staffune-id:yduen
dc.identifier.staffune-id:mzhou6en
local.profile.orcid0000-0002-1235-0636en
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:20441en
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleSpreading and Vanishing for Nonlinear Stefan Problems in High Space Dimensionsen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.search.authorDu, Yihongen
local.search.authorLou, Bendongen
local.search.authorZhou, Maolinen
local.uneassociationUnknownen
local.year.published2016en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/6d4de387-f845-49bd-9721-bce7b9dc2ea8en
local.subject.for2020490410 Partial differential equationsen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
local.codeupdate.date2021-11-05T11:04:43.395en
local.codeupdate.epersonydu@une.edu.auen
local.codeupdate.finalisedtrueen
local.original.for2020490410 Partial differential equationsen
local.original.seo2020280118 Expanding knowledge in the mathematical sciencesen
Appears in Collections:Journal Article
Files in This Item:
3 files
File Description SizeFormat 
Show simple item record

SCOPUSTM   
Citations

8
checked on Jul 6, 2024

Page view(s)

1,272
checked on May 5, 2024
Google Media

Google ScholarTM

Check

Altmetric


Items in Research UNE are protected by copyright, with all rights reserved, unless otherwise indicated.