188 citations · 1.6k across the 107 of their papers we have counts for
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Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches
Harald Garcke, Robert Nürnberg, Quan Zhao
We consider the numerical approximation of a sharp-interface model for two-phase flow, which is given by the incompressible Navier-Stokes equations in the bulk domain together with…
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…
Global regularity and asymptotic stabilization for the incompressible Navier-Stokes-Cahn-Hilliard model with unmatched densities
Helmut Abels, Harald Garcke, Andrea Giorgini
We study an initial-boundary value problem for the incompressible Navier-Stokes-Cahn-Hilliard system with non-constant density proposed by Abels, Garcke and Grün in 2012. This mode…
Phase field topology optimisation for 4D printing
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
This work concerns a structural topology optimisation problem for 4D printing based on the phase field approach. The concept of 4D printing as a targeted evolution of 3D printed st…
Qualitative Properties for a System Coupling Scaled Mean Curvature Flow and Diffusion
Helmut Abels, Felicitas Bürger, Harald Garcke
We consider a system consisting of a geometric evolution equation for a hypersurface and a parabolic equation on this evolving hypersurface. More precisely, we discuss mean curvatu…
Short Time Existence for Coupling of Scaled Mean Curvature Flow and Diffusion
Helmut Abels, Felicitas Bürger, Harald Garcke
We prove a short time existence result for a system consisting of a geometric evolution equation for a hypersurface and a parabolic equation on this evolving hypersurface. More pre…