91 citations · 747 across the 46 of their papers we have counts for
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On the basin of attraction for the free boundary free elastic flow
Klaus Deckelnick, Hans-Christoph Grunau, Robert Nürnberg +2
The free boundary free elastic flow is the steepest descent gradient flow for the elastic energy of curves meeting parallel lines perpendicularly. In this article we prove that the…
A diffuse-interface approach for solid-state dewetting with anisotropic surface energies
Harald Garcke, Patrik Knopf, Robert Nürnberg +1
We present a diffuse-interface model for the solid-state dewetting problem with anisotropic surface energies in for . The introduced model consists of…
Cahn-Hilliard-Brinkman systems for tumour growth
Matthias Ebenbeck, Harald Garcke, Robert Nürnberg
A phase field model for tumour growth is introduced that is based on a Brinkman law for convective velocity fields. The model couples a convective Cahn-Hilliard equation for the ev…
A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
We derive a Cahn-Hilliard-Darcy model to describe multiphase tumour growth taking interactions with multiple chemical species into account as well as the simultaneous occurrence of…