3 papers
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-ph2025
Improved geometric and recollision estimates for the invariance principle of the random Lorentz gas
Karsten Matthies, Raphael Winter
By improving geometric recollision estimates for a random Lorentz gas, we extend the timescale of the invariance principle for a Lorentz gas with particle size obtained…
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…