21 citations · 40 across the 14 of their papers we have counts for
17 papers · 1 filter
The anisotropic Cahn--Hilliard equation with degenerate mobility: Existence of weak solutions
Harald Garcke, Patrik Knopf, Andrea Signori
This paper presents an existence result for the anisotropic Cahn--Hilliard equation characterized by a potentially concentration-dependent degenerate mobility taking into account a…
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…
A Cahn-Hilliard model coupled to viscoelasticity with large deformations
Abramo Agosti, Pierluigi Colli, Harald Garcke +1
We propose a new class of phase field models coupled to viscoelasticity with large deformations, obtained from a diffuse interface mixture model composed by a phase with elastic pr…
Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids
Harald Garcke, Patrik Knopf, Sourav Mitra +1
In this article, we study the strong well-posedness, stability and optimal control of an incompressible magneto-viscoelastic fluid model in two dimensions. The model consists of an…
Long-time Dynamics for a Cahn-Hilliard Tumor Growth Model with Chemotaxis
Harald Garcke, Sema Yayla
Mathematical models that describe the tumor growth process have been formulated by several authors in order to understand how cancer develops and to develop new treatment approache…