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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.DS2016
Uniqueness of solitary waves in the high-energy limit of FPU-type chains
Michael Herrmann, Karsten Matthies
Recent asymptotic results by the authors provided detailed information on the shape of solitary high-energy travelling waves in FPU atomic chains. In this note we use and extend th…
math.DS2015★ 16 cited
Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains
Michael Herrmann, Karsten Matthies
It is well established that the solitary waves of FPU-type chains converge in the high-energy limit to traveling waves of the hard-sphere model. In this paper we establish improved…