5 citations · 5 across the 4 of their papers we have counts for
5 papers
Loss of embeddedness for the one-phase quasistationary Stefan problem in 2D
Friedrich Lippoth
We provide an example for a smooth and embedded initial state that looses embeddedness in finite time when evolving according to the quasistationary Stefan problem with Gibbs-Thoms…
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…
On Global Solutions for Quasilinear One-Dimensional Parabolic Problems with Dynamical Boundary Conditions
Simon Gvelesiani, Friedrich Lippoth, Christoph Walker
We provide sufficient and almost optimal conditions for global existence of classical solutions in parabolic Hölder spaces to quasilinear one-dimensional parabolic problems with dy…
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…
A moving boundary problem for the Stokes equations involving osmosis: variational modelling and short-time well-posedness
Friedrich Lippoth, Mark A. Peletier, Georg Prokert
Within the framework of variational modelling we derive a one-phase moving boundary problem describing the motion of a semipermeable membrane enclosing a viscous liquid, driven by…