3 papers
math.AP2017
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…
math.AP2015
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…
math.AP2015
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…