188 citations · 1.6k across the 107 of their papers we have counts for
9 papers · 1 filter
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data
Abramo Agosti, Pasquale Ciarletta, Harald Garcke +1
Parameters in mathematical models for glioblastoma multiforme (GBM) tumour growth are highly patient specific. Here we aim to estimate parameters in a Cahn-Hilliard type diffuse in…
On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects
Harald Garcke, Kei Fong Lam, Andrea Signori
Mechanical effects have mostly been neglected so far in phase field tumour models that are based on a Cahn-Hilliard approach. In this paper we study a macroscopic mechanical model…
Stable approximations for axisymmetric Willmore flow for closed and open surfaces
John W. Barrett, Harald Garcke, Robert Nürnberg
For a hypersurface in , Willmore flow is defined as the --gradient flow of the classical Willmore energy: the integral of the squared mean curvature. This geome…
Non-linear Stability of Double Bubbles under Surface Diffusion
Harald Garcke, Michael Gößwein
We consider the evolution of triple junction clusters driven by the surface diffusion flow. On the triple line we use the boundary conditions derived by Garcke and Novick-Cohen as…
On the Surface Diffusion Flow with Triple Junctions in Higher Space Dimensions
Harald Garcke, Michael Gößwein
We show short time existence for the evolution of triple junction clusters driven by the surface diffusion flow. On the triple line we use the boundary conditions derived by Garcke…
Stability analysis for stationary solutions of the Mullins-Sekerka flow with boundary contact
Harald Garcke, Maximilian Rauchecker
We first give a complete linearized stability analysis around stationary solutions of the Mullins-Sekerka flow with contact angle in two space dimensions. The stationary…