28 citations · 102 across the 9 of their papers we have counts for
13 papers
Using Channel Representations in Regularization Terms: A Case Study on Image Diffusion
Christian Heinemann, Freddie Åström, George Baravdish +3
In this work we propose a novel non-linear diffusion filtering approach for images based on their channel representation. To derive the diffusion update scheme we formulate a novel…
Necessary conditions of first-order for an optimal boundary control problem for viscous damage processes in 2D
M. Hassan Farshbaf-Shaker, Christian Heinemann
Controlling the growth of material damage is an important engineering task with plenty of real world applications. In this paper we approach this topic from the mathematical point…
Shape optimisation for a class of semilinear variational inequalities with applications to damage models
Christian Heinemann, Kevin Sturm
The present contribution investigates shape optimisation problems for a class of semilinear elliptic variational inequalities with Neumann boundary conditions. Sensitivity estimate…
A temperature-dependent phase-field model for phase separation and damage
C. Heinemann, C. Kraus, E. Rocca +1
In this paper we study a model for phase separation and damage in thermoviscoelastic materials. The main novelty of the paper consists in the fact that, in contrast with previous w…
Existence results for diffuse interface models describing phase separation and damage
Christian Heinemann, Christiane Kraus
In this paper, we analytically investigate multi-component Cahn-Hilliard and Allen-Cahn systems which are coupled with elasticity and uni-directional damage processes. The free ene…
Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage
Christian Heinemann, Christiane Kraus
A typical phase field approach for describing phase separation and coarsening phenomena in alloys is the Cahn-Hilliard model. This model has been generalized to the so-called Cahn-…
Existence of weak solutions for a PDE system describing phase separation and damage processes including inertial effects
Christian Heinemann, Christiane Kraus
In this paper, we consider a coupled PDE system describing phase separation and damage phenomena in elastically stressed alloys in the presence of inertial effects. The material is…
Existence of weak solutions for a hyperbolic-parabolic phase field system with mixed boundary conditions on non-smooth domains
Christian Heinemann, Christiane Kraus
The aim of this paper is to prove existence of weak solutions of hyperbolic-parabolic evolution inclusions defined on Lipschitz domains with mixed boundary conditions describing, f…
A degenerating Cahn-Hilliard system coupled with complete damage processes
Christian Heinemann, Christiane Kraus
In this work, we analytically investigate a degenerating PDE system for phase separation and complete damage processes considered on a nonsmooth time-dependent domain with mixed bo…
A phase field approach for optimal boundary control of damage processes in two-dimensional viscoelastic media
M. Hassan Farshbaf-Shaker, Christian Heinemann
In this work we investigate a phase field model for damage processes in two-dimensional viscoelastic media with nonhomogeneous Neumann data describing external boundary forces. In…
Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficients
Christian Heinemann, Elisabetta Rocca
In this paper we prove existence of global in time weak solutions for a highly nonlinear PDE system arising in the context of damage phenomena in thermoviscoelastic materials. The…
Modeling and analysis of a phase field system for damage and phase separation processes in solids
Elena Bonetti, Christian Heinemann, Christiane Kraus +1
In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equat…
Complete damage in linear elastic materials - Modeling, weak formulation and existence results
Christian Heinemann, Christiane Kraus
In this work, we introduce a degenerating PDE system with a time-depending domain for complete damage processes under time-varying Dirichlet boundary conditions. The evolution of t…