dc.contributor.author Alber, H.-D. dc.contributor.author Zhu, P. dc.date.accessioned 2017-02-21T08:18:21Z dc.date.available 2017-02-21T08:18:21Z dc.date.issued 2011-12-31 dc.identifier.issn 0935-1175 dc.identifier.uri http://hdl.handle.net/20.500.11824/604 dc.description.abstract We 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.format application/pdf dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject Asymptotic solution dc.subject Degenerate evolution equation of Cahn-Hilliard type with gradient term dc.subject Interface diffusion dc.subject Phase field model dc.subject Sharp interface limit dc.title Interface motion by interface diffusion driven by bulk energy: Justification of a diffusive interface model dc.type info:eu-repo/semantics/article en_US dc.identifier.doi 10.1007/s00161-010-0162-9 dc.relation.publisherversion https://www.scopus.com/inward/record.uri?eid=2-s2.0-79955886045&doi=10.1007%2fs00161-010-0162-9&partnerID=40&md5=48cb0443f0f0569ca625a2fdb968f44f dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/publishedVersion en_US dc.journal.title Continuum Mechanics and Thermodynamics en_US
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