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math.AP2018
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…
math.AP2015★ 21 cited
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…
math.AP2015★ 28 cited
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-…