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math.AP2020★ 1 cited
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…
math.AP2015★ 3 cited
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…
math.AP2013★ 1 cited
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…