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math.NA2018★ 6 cited
Solitary waves in atomic chains and peridynamical media
Michael Herrmann, Karsten Matthies
Peridynamics describes the nonlinear interactions in spatially extended Hamiltonian systems by nonlocal integro-differential equations, which can be regarded as the natural general…
math.AP2018★ 8 cited
Rescaled Objective Solutions of Fokker-Planck and Boltzmann equations
Karsten Matthies, Florian Theil
We study the long-time behavior of symmetric solutions of the nonlinear Boltzmann equation and a closely related nonlinear Fokker-Planck equation. If the symmetry of the solutions…