51 citations · 348 across the 35 of their papers we have counts for
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math.DS2010★ 8 cited
Oscillatory Waves in Discrete Scalar Conservation Laws
Michael Herrmann
We study Hamiltonian difference schemes for scalar conservation laws with monotone flux function and establish the existence of a three-parameter family of periodic travelling wave…
math.DS2010★ 9 cited
Action minimizing fronts in general FPU-type chains
Michael Herrmann
We study atomic chains with nonlinear nearest neighbour interactions and prove the existence of fronts (heteroclinic travelling waves with constant asymptotic states). Generalizing…