1 citations · 1 across the 3 of their papers we have counts for
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.AP2024
Hysteretic dynamics of phase interfaces in bilinear forward-backward diffusion equations
Michael Herrmann, Dirk Janßen
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…
math.AP2023★ 1 cited
Traveling phase interfaces in viscous forward-backward diffusion equations
Carina Geldhauser, Michael Herrmann, Dirk Janßen
The viscous regularization of an ill-posed diffusion equation with bistable nonlinearity predicts a hysteretic behavior of dynamical phase transitions but a complete mathematical \…