16 citations · 52 across the 15 of their papers we have counts for
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math.DS2017
Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains
Michael Herrmann, Karsten Matthies
The dynamical stability of solitary lattice waves in non-integrable FPUT chains is a longstanding open problem and has been solved so far only in a certain asymptotic regime, namel…
math.AP2017★ 1 cited
Derivation of a Non-autonomous Linear Boltzmann Equation from a Heterogeneous Rayleigh Gas
Karsten Matthies, George Stone
A linear Boltzmann equation with nonautonomous collision operator is rigorously derived in the Boltzmann-Grad limit for the deterministic dynamics of a Rayleigh gas where a tagged…