1 citations · 1 across the 2 of their papers we have counts for
4 papers
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…
Well-posedness for a moving boundary model of an evaporation front in a porous medium
Friedrich Lippoth, Georg Prokert
We consider a two-phase elliptic-parabolic moving boundary problem modelling an evaporation front in a porous medium. Our main result is a proof of short-time existence and uniquen…
Stability of Equilibria of a two-phase Stokes-Osmosis problem
Friedrich Lippoth, Georg Prokert
Within the framework of variational modelling we derive a two-phase moving boundary problem that describes the motion of a semipermeable membrane separating two viscous liquids in…
Hele-Shaw flow in thin threads: A rigorous limit result
Bogdan-Vasile Matioc, Georg Prokert
We rigorously prove the convergence of appropriately scaled solutions of the 2D Hele-Shaw moving boundary problem with surface tension in the limit of thin threads to the solution…