188 citations · 1.6k across the 107 of their papers we have counts for
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Stability of Spherical Caps under the Volume-Preserving Mean Curvature Flow with Line Tension
Helmut Abels, Harald Garcke, Lars Müller
We show stability of spherical caps (SCs) lying on a flat surface, where the motion is governed by the volume-preserving Mean Curvature Flow (MCF). Moreover, we introduce a dynamic…
Local Well-Posedness for Volume-Preserving Mean Curvature and Willmore Flows with Line Tension
Helmut Abels, Harald Garcke, Lars Müller
We show the short-time existence and uniqueness of solutions for the motion of an evolving hypersurface in contact with a solid container driven by volume-preserving mean curvature…
On Convergence of Solutions to Equilibria for Fully Nonlinear Parabolic Systems with Nonlinear Boundary Conditions
Helmut Abels, Nasrin Arab, Harald Garcke
Convergence to stationary solutions in fully nonlinear parabolic systems with general nonlinear boundary conditions is shown in situations where the set of stationary solutions cre…
A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow
Harald Garcke, Michael Hinze, Christian Kahle
A new time discretization scheme for the numerical simulation of two-phase flow governed by a thermodynamically consistent diffuse interface model is presented. The scheme is consi…