3 papers
math.NA2024
Inf-Sup Stability of Parabolic TraceFEM
Lucas Bouck, Ricardo H. Nochetto, Mansur Shakipov +1
We develop a parabolic inf-sup theory for a modified TraceFEM semi-discretization in space of the heat equation posed on a stationary surface embedded in . We conside…
math.NA2019
Numerical modelling of phase separation on dynamic surfaces
Vladimir Yushutin, Annalisa Quaini, Maxim Olshanskii
The paper presents a model of lateral phase separation in a two component material surface. The resulting fourth order nonlinear PDE can be seen as a Cahn-Hilliard equation posed o…
math.AP2018
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…