19 citations · 24 across the 4 of their papers we have counts for
4 papers
A scalar auxiliary variable unfitted FEM for the surface Cahn-Hilliard equation
Maxim Olshanskii, Yerbol Palzhanov, Annalisa Quaini
The paper studies a scalar auxiliary variable (SAV) method to solve the Cahn-Hilliard equation with degenerate mobility posed on a smooth closed surface Γ. The SAV formulation is c…
Lipid domain coarsening and fluidity in multicomponent lipid vesicles: A continuum based model and its experimental validation
Y. Wang, Y. Palzhanov, A. Quaini +2
Liposomes that achieve a heterogeneous and spatially organized surface through phase separation have been recognized to be a promising platform for delivery purposes. However, thei…
A comparison of Cahn-Hilliard and Navier-Stokes-Cahn-Hilliard models on manifolds
Maxim Olshanskii, Yerbol Palzhanov, Annalisa Quaini
We consider phase-field models with and without lateral flow for the numerical simulation of lateral phase separation and coarsening in lipid membranes. For the numerical solution…
A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow
Yerbol Palzhanov, Alexander Zhiliakov, Annalisa Quaini +1
The paper considers a thermodynamically consistent phase-field model of a two-phase flow of incompressible viscous fluids. The model allows for a non-linear dependence of fluid den…