5 citations · 6 across the 7 of their papers we have counts for
10 papers
The -dimensional gravity driven Muskat problem
Bogdan-Vasile Matioc, Georg Prokert
We study the Muskat problem, which describes the motion of two immiscible, incompressible fluids in a homogeneous porous medium occupying the full space , $N \g…
Capillarity driven Stokes flow: the one-phase problem as small viscosity limit
Georg Prokert, Bogdan-Vasile Matioc
We consider the quasistationary Stokes flow that describes the motion of a two-dimensional fluid body under the influence of surface tension effects in an unbounded, infinite-botto…
Two-phase Stokes flow by capillarity in the plane: The case of different viscosities
Bogdan-Vasile Matioc, Georg Prokert
We study the two-phase Stokes flow driven by surface tension for two fluids of different viscosities, separated by an asymptotically flat interface representable as graph of a diff…
Existence and uniqueness of solutions to the time-dependent Kohn-Sham equations coupled with classical nuclear dynamics
Björn Baumeier, Onur Çaylak, Carlo Mercuri +3
We prove existence and uniqueness of solutions to the initial-value problem associated with a class of time-dependent Kohn-Sham equations coupled with Newtonian nuclear dynamics. W…
Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials
Bogdan-Vasile Matioc, Georg Prokert
We study the two-phase Stokes flow driven by surface tension with two fluids of equal viscosity, separated by an asymptotically flat interface with graph geometry. The flow is assu…
Modeling fungal hypha tip growth via viscous sheet approximation
Thomas de Jong, Josephus Hulshof, Georg Prokert
In this paper we present a new model for single-celled, non-branching hypha tip growth. The growth mechanism of hypha cells consists of transport of cell wall building material to…