Show simple item record

dc.contributor.authorZhu P.
dc.date.accessioned2017-02-21T08:18:21Z
dc.date.available2017-02-21T08:18:21Z
dc.date.issued2011-12-31
dc.identifier.issn0022-0396
dc.identifier.urihttp://hdl.handle.net/20.500.11824/588
dc.description.abstractThis article is concerned with an initial-boundary value problem for an elliptic-parabolic coupled system arising in martensitic phase transition theory of elastically deformable solid materials, e.g., steel. This model was proposed in Alber and Zhu (2007) [4], and investigated in Alber and Zhu (2006) [3] the existence of weak solutions which are defined in a standard way, however the key technique used in Alber and Zhu (2006) [3] is not applicable to multi-dimensional problem. One of the motivations of this study is to solve this multi-dimensional problem, and another is to investigate the sharp interface limits. Thus we define weak solutions in a way, which is different from Alber and Zhu (2006) [3], by using the notion of viscosity solution. We do prove successfully the existence of weak solutions in this sense for one-dimensional problem, yet the multi-dimensional problem is still open. © 2011 Elsevier Inc.
dc.formatapplication/pdf
dc.languageeng
dc.publisherJournal of Differential Equations
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectPrimary
dc.subjectSecondary
dc.titleSolvability via viscosity solutions for a model of phase transitions driven by configurational forces
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1016/j.jde.2011.05.035
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-80051933344&doi=10.1016%2fj.jde.2011.05.035&partnerID=40&md5=52817dd48404bebf22f28fc10e467729


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

info:eu-repo/semantics/openAccess
Except where otherwise noted, this item's license is described as info:eu-repo/semantics/openAccess