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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.AP2024
Hysteretic dynamics of phase interfaces in bilinear forward-backward diffusion equations
Michael Herrmann, Dirk JanÃen
We study single-interface solutions to a free boundary problem that couples bilinear bulk diffusion to the Stefan condition and a hysteretic flow rule for phase boundaries. We intr…