Pinning of interfaces in random media

Details Pinning of interfaces in random media Pinning of interfaces in random media

2009-11-22

arxiv.org/abs/0911.4254v2

Mathematics

Analysis of PDEs

15 Pages

Scientific paper

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).

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