Pinning of interfaces in random media
Pinning of interfaces in random media
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随机媒体中接口的固定
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
M. Scheutzow
中科院分区：
文献类型：
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作者：
N. Dirr;P. Dondl;M. Scheutzow
对于曲率敏感界面在与时间无关的随机介质中的传播模型，以及通常称为猝灭的Edwards-Wilkinson方程的线性化形式，我们证明了在非零外加载荷下定常正解的存在性。这导致了迟滞的出现，即使局部演化规律是粘性的(特别是模型中界面的速度在驱动力中是线性的)，这种迟滞在缓慢加载时也不会消失。
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).