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math.AP2026
Existence of Traveling Waves in Infinite Range FPUT Lattices
Michael Herrmann, Karsten Matthies, Jan-Patrick Meyer
We prove the existence of solitary waves in a lattice where all particles interact with each other by pair-wise repulsive forces that decay with distance. The variational existence…
math.AP2025
Fronts in dissipative Fermi-Pasta-Ulam-Tsingou chains
Michael Herrmann, Guillaume James, Karsten Matthies
In a dissipative Fermi-Pasta-Ulam-Tsingou chain particles interact with their nearest neighbors through anharmonic potentials and linear dissipative forces. We prove the existence…