3 papers
math.AP2026
Dissipative solutions for viscoelastic phase separation with degenerate mobility: a dynamic transport approach
Moritz Immanuel Gau, Katharina Hopf, Matthias Liero
We study the convergence of minimising movement approximations to weak solutions of a fourth-order viscoelastic phase separation system with degenerate concave mobility. The underl…
math.AP2025
Well-posedness and relaxation in a simplified model for viscoelastic phase separation via Hilbertian gradient flows
Moritz Immanuel Gau, Katharina Hopf
This article is concerned with a gradient-flow approach to a Cahn-Hilliard model for viscoelastic phase separation introduced by Zhou et al. (Phys. Rev. E, 2006) in its variant wit…
math.AP2024
Interface dynamics in a degenerate Cahn-Hilliard model for viscoelastic phase separation
Katharina Hopf, John King, Andreas Münch +1
The formal sharp-interface asymptotics in a degenerate Cahn-Hilliard model for viscoelastic phase separation with cross-diffusive coupling to a bulk stress variable are shown to le…