21 citations · 65 across the 33 of their papers we have counts for
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math.AP2012
Effective behavior of an interface propagating through a periodic elastic medium
Patrick W. Dondl, Kaushik Bhattacharya
We consider a moving interface that is coupled to an elliptic equation in a heterogeneous medium. The problem is motivated by the study of displacive solid-solid phase transformati…
math.AP2012
Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation
Patrick W. Dondl, Michael Scheutzow, Sebastian Throm
For a model of a driven interface in an elastic medium with random obstacles we prove existence of a stationary positive supersolution at non-vanishing driving force. This shows th…