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dc.contributor.authorAlber, H.-D.
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.issn0935-1175
dc.identifier.urihttp://hdl.handle.net/20.500.11824/604
dc.description.abstractWe construct an asymptotic solution of a system consisting of the partial differential equations of linear elasticity theory coupled with a degenerate parabolic equation, and show that when a regularity parameter tends to zero, this solution converges to a solution of a sharp interface model, which describes the phase interface in an elastically deformable solid moving by interface diffusion. Therefore, the coupled system can be used as diffusive interface model. Differently from diffusive interface models based on the Cahn-Hilliard equation, the interface diffusion is solely driven by the bulk energy, hence the Laplacian of the curvature is not part of the driving force. Also, no rescaling of the parabolic equation is necessary. Since the asymptotic solution does not solve the system exactly, the proof is formal.
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.subjectAsymptotic solution
dc.subjectDegenerate evolution equation of Cahn-Hilliard type with gradient term
dc.subjectInterface diffusion
dc.subjectPhase field model
dc.subjectSharp interface limit
dc.titleInterface motion by interface diffusion driven by bulk energy: Justification of a diffusive interface model
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s00161-010-0162-9
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-79955886045&doi=10.1007%2fs00161-010-0162-9&partnerID=40&md5=48cb0443f0f0569ca625a2fdb968f44f
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleContinuum Mechanics and Thermodynamicsen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España