21 citations · 29 across the 2 of their papers we have counts for
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math.AP2013★ 8 cited
Interface dynamics in discrete forward-backward diffusion equations
Michael Helmers, Michael Herrmann
We study the motion of phase interfaces in a diffusive lattice equation with bistable nonlinearity and derive a free boundary problem with hysteresis to describe the macroscopic ev…
math.AP2011★ 21 cited
Kramers and non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint
Michael Herrmann, Barbara Niethammer, Juan J. L. Velázquez
We study a Fokker-Planck equation with double-well potential that is nonlocally driven by a dynamical constraint and involves two small parameters. Relying on formal asymptotics we…