51 citations · 348 across the 35 of their papers we have counts for
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Instability of hysteretic phase interfaces in a mean-field model with inhomogeneities
Michael Herrmann, Barbara Niethammer
We study a system of non-identical bistable particles that is driven by a dynamical constraint and coupled through a non-local mean-field. Assuming piecewise affine constitutive la…
Dispersive Shock Waves in Lattices: A Dimension Reduction Approach
Christopher Chong, Michael Herrmann, P. G. Kevrekidis
Dispersive shock waves (DSWs), which connect states of different amplitude via a modulated wave train, form generically in nonlinear dispersive media subjected to abrupt changes in…
Efficient Random Walks on Riemannian Manifolds
Simon Schwarz, Michael Herrmann, Anja Sturm +1
According to a version of Donsker's theorem, geodesic random walks on Riemannian manifolds converge to the respective Brownian motion. From a computational perspective, however, ev…