13 citations · 29 across the 6 of their papers we have counts for
6 papers
On the Navier-Stokes equations on surfaces
Jan Pruess, Gieri Simonett, Mathias Wilke
We consider the motion of an incompressible viscous fluid that completely covers a smooth, compact and embedded hypersurface without boundary and flows along . Local-in-time…
The Verigin problem with and without phase transition
Jan Pruess, Gieri Simonett
Isothermal compressible two-phase flows with and without phase transition are modeled, employing Darcy's and/or Forchheimer's law for the velocity field. It is shown that the resul…
Thermodynamical Consistent Modeling and Analysis of Nematic Liquid Crystal Flows
Matthias Hieber, Jan Pruess
The general Ericksen-Leslie system for the flow of nematic liquid crystals is reconsidered in the non-isothermal case aiming for thermodynamically consistent models. The non-isothe…
On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension
Jan Pruess, Yuanzhen Shao, Gieri Simonett
We study the regularity of the free boundary arising in a thermodynamically consistent two-phase Stefan problem with surface tension by means of a family of parameter-dependent dif…
Qualitative behaviour of incompressible two-phase flows with phase transitions: The case of non-equal densities
Jan Pruess, Senjo Shimizu, Mathias Wilke
Our study of a basic model for incompressible two-phase flows with phase transitions consistent with thermodynamics in the case of constant but non-equal densities of the phases, b…
On the two-phase Navier-Stokes equations with surface tension
Jan Pruess, Gieri Simonett
The two-phase free boundary problem for the Navier-Stokes system is considered in a situation where the initial interface is close to a halfplane. By means of -maximal regular…