Pinning of interfaces in random media

dc.contributor.authorDirr, Nicolas
dc.contributor.authorDondl, Patrick W.
dc.contributor.authorScheutzow, Michael
dc.date.accessioned2019-01-09T09:58:08Z
dc.date.available2019-01-09T09:58:08Z
dc.date.issued2011
dc.descriptionDieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.de
dc.descriptionThis publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.en
dc.description.abstractFor a model for the propagation of a curvature sensitive interface in a time independent random medium, as well as for a linearized version which is commonly referred to as Quenched Edwards– Wilkinson equation, we prove existence of a stationary positive supersolution at non-vanishing applied load. This leads to the emergence of a hysteresis that does not vanish for slow loading, even though the local evolution law is viscous (in particular, the velocity of the interface in the model is linear in the driving force).en
dc.description.sponsorshipDFG, FOR 718, Analysis and Stochastics in Complex Physical Systemsen
dc.identifier.eissn1463-9971
dc.identifier.issn1463-9963
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/8969
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-8095
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematikde
dc.subject.otherQEWen
dc.subject.otherphase boundariesen
dc.subject.otherpinningen
dc.subject.otherrandom environmenten
dc.titlePinning of interfaces in random mediaen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.4171/IFB/265en
dcterms.bibliographicCitation.issue3en
dcterms.bibliographicCitation.journaltitleInterfaces and free boundariesen
dcterms.bibliographicCitation.originalpublishernameEuropean Mathematical Societyen
dcterms.bibliographicCitation.originalpublisherplaceZĂĽrichen
dcterms.bibliographicCitation.pageend421en
dcterms.bibliographicCitation.pagestart411en
dcterms.bibliographicCitation.volume13en
tub.accessrights.dnbdomainen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::FG Stochastische Analysisde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.groupFG Stochastische Analysisde
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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