3 papers
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…
math.AP2017
On the Boundary Regularity of Phase-Fields for Willmore's Energy
Patrick Dondl, Stephan Wojtowytsch
We demonstrate that Radon measures which arise as the limit of the Modica-Mortola measures associated to phase-fields with uniformly bounded diffuse area and Willmore energy may be…
math.PR2011
Positive speed of propagation in a semilinear parabolic interface model with unbounded random coefficients
Patrick W Dondl, Michael Scheutzow
We consider a model for the propagation of a driven interface through a random field of obstacles. The evolution equation, commonly referred to as the Quenched Edwards-Wilkinson mo…