2 papers
math.AP2026
From diffusion to transmission via EDP-convergence: a paradigmatic multiscale limit
Thomas Frenzel, Alexander Mielke
We consider nonlinear diffusion equations on an interval where the diffusion coefficient in a small region near the center is scaled such that it approximates a transmission condit…
math.AP2018
A gradient system with a wiggly energy and relaxed EDP-convergence
Patrick Dondl, Thomas Frenzel, Alexander Mielke
If gradient systems depend on a microstructure, we want to derive a macroscopic gradient structure describing the effective behavior of the microscopic effects. We introduce a noti…