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Pinning of interfaces in random media

Dirr, Nicolas P., Dondl, Patrick and Scheutzow, Michael 2011. Pinning of interfaces in random media. Interfaces and Free Boundaries 13 (3) , pp. 411-421. 10.4171/IFB/265

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Abstract

For 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).

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: QEW; phase boundaries; pinning; random environment
Publisher: European Mathematical Society Publishing House
ISSN: 1463-9963
Last Modified: 04 Jun 2017 02:52
URI: http://orca.cf.ac.uk/id/eprint/13081

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