28 citations · 98 across the 7 of their papers we have counts for
10 papers
Pressure Reconstruction for Weak Solutions of the Two-Phase Incompressible Navier--Stokes Equations with Surface Tension
Helmut Abels, Johannes Daube, Christiane Kraus
For the two-phase incompressible Navier--Stokes equations with surface tension, we derive an appropriate weak formulation incorporating a variational formulation using divergence-f…
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…