16 citations · 29 across the 8 of their papers we have counts for
8 papers
Error analysis for a viscoelastic phase separation model
Aaron Brunk, Herbert Egger, Oliver Habrich +1
We consider systematic numerical approximation of a viscoelastic phase separation model that describes the demixing of a polymer solvent mixture. An unconditionally stable discreti…
Variational approximation for a non-isothermal coupled phase-field system: Structure-preservation & Nonlinear stability
Aaron Brunk, Oliver Habrich, Timileyin David Oyedeji +2
A Cahn-Hilliard-Allen-Cahn phase-field model coupled with a heat transfer equation, particularly with full non-diagonal mobility matrices, is studied. After reformulating the probl…
A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling
Aaron Brunk, Herbert Egger, Oliver Habrich
We study the numerical solution of a Cahn-Hilliard/Allen-Cahn system with strong coupling through state and gradient dependent non-diagonal mobility matrices. A fully discrete appr…
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system
Aaron Brunk, Herbert Egger, Oliver Habrich +1
We propose and analyze a structure-preserving space-time variational discretization method for the Cahn-Hilliard-Navier-Stokes system. Uniqueness and stability for the discrete pro…
On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation
Aaron Brunk, Herbert Egger, Oliver Habrich
We consider the identifiability and stable numerical estimation of multiple parameters in a Cahn-Hilliard model for phase separation. Spatially resolved measurements of the phase f…
Relative energy estimates for the Cahn-Hilliard equation with concentration dependent mobility
Aaron Brunk, Herbert Egger, Oliver Habrich +1
Based on relative energy estimates, we study the stability of solutions to the Cahn-Hilliard equation with concentration dependent mobility with respect to perturbations. As a by-p…
Systematic derivation of hydrodynamic equations for viscoelastic phase separation
Dominic Spiller, Aaron Brunk, Oliver Habrich +3
(abridged) We present a detailed derivation of a simple hydrodynamic two-fluid model, which aims at the description of the phase separation of non-entangled polymer solutions, wher…
Analysis of a viscoelastic phase separation model
Aaron Brunk, Burkhard Dünweg, Herbert Egger +3
A new model for viscoelastic phase separation is proposed, based on a systematically derived conservative two-fluid model. Dissipative effects are included by phenomenological visc…