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dc.contributor.authorZhu, P.
dc.date.accessioned2017-02-21T08:18:20Z
dc.date.available2017-02-21T08:18:20Z
dc.date.issued2012-12-31
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/579
dc.description.abstractIn a previous work, we prove the existence of weak solutions to an initial-boundary value problem, with H 1(Ω) initial data, for a system of partial differential equations, which consists of the equations of linear elasticity and a nonlinear, degenerate parabolic equation of second order. This problem models the behavior in time of materials with martensitic phase transitions. This model with diffusive phase interfaces was derived from a model with sharp interfaces, whose evolution is driven by configurational forces, and can be regarded as a regularization of that model. Assuming in this article the initial data is in H 2(Ω), we investigate the regularity of weak solutions that is difficult due to the gradient term which plays a role of a weight. Our proof, in which the difficulties are caused by the weight in the principle term, is only valid in one space dimension.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectDegenerate parabolic equation
dc.subjectPhase transition model
dc.subjectRegularity
dc.subjectWeak solutions
dc.titleRegularity of solutions to a model for solid-solid phase transitions driven by configurational forces
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.jmaa.2011.12.052
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84856264108&doi=10.1016%2fj.jmaa.2011.12.052&partnerID=40&md5=fa91fdd2787b6acac38a660af0196efc
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleJournal of Mathematical Analysis and Applicationsen_US


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