62 citations · 396 across the 27 of their papers we have counts for
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math.AP2022★ 18 cited
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…
math.AP2022★ 18 cited
Two-phase flows with bulk-surface interaction: thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with dynamic boundary conditions
Andrea Giorgini, Patrik Knopf
We derive a novel thermodynamically consistent Navier--Stokes--Cahn--Hilliard system with dynamic boundary conditions. This model describes the motion of viscous incompressible bin…
math.AP2022
A phase-field version of the Faber--Krahn theorem
Paul Hüttl, Patrik Knopf, Tim Laux
We investigate a phase-field version of the Faber--Krahn theorem based on a phase-field optimization problem introduced in Garcke et al. [ESAIM Control Optim. Calc. Var. 29 (2023),…