29 citations · 63 across the 10 of their papers we have counts for
4 papers · 1 filter
On stability of Euler flows on closed surfaces of positive genus
Vladimir Yushutin
Incompressible flows of an ideal two-dimensional fluid on a closed orientable surface of positive genus are considered. Linear stability of harmonic, i.e. irrotational and incompre…
A computational study of lateral phase separation in biological membranes
Vladimir Yushutin, Annalisa Quaini, Sheereen Majd +1
Conservative and non-conservative phase-field models are considered for the numerical simulation of lateral phase separation and coarsening in biological membranes. An unfitted fin…
A penalty finite element method for a fluid system posed on embedded surface
Maxim A. Olshanskii, Vladimir Yushutin
The paper introduces a finite element method for the incompressible Navier--Stokes equations posed on a closed surface . The method needs a shape regular tetrahedra m…
A finite element method for the surface Stokes problem
Maxim A. Olshanskii, Annalisa Quaini, Arnold Reusken +1
We consider a Stokes problem posed on a 2D surface embedded in a 3D domain. The equations describe an equilibrium, area-preserving tangential flow of a viscous surface fluid and se…