1 citations · 1 across the 2 of their papers we have counts for
5 papers
The Rayleigh-Taylor instability for the Verigin problem with and without phase transition
Jan Pruess, Gieri Simonett, Mathias Wilke
Isothermal compressible two-phase flows in a capillary are modeled with and without phase transition in the presence of gravity, employing Darcy's law for the velocity field. It is…
On critical spaces for the Navier-Stokes equations
Jan Pruess, Mathias Wilke
The abstract theory of critical spaces developed in [22] and [20] is applied to the Navier-Stokes equations in bounded domains with Navier boundary conditions as well as no-slip co…
Addendum to the Paper "On Quasilinear Parabolic Evolution Equations in Weighted -Spaces II"
Jan Pruess, Mathias Wilke
This note is devoted to a small, but essential, extension of Theorem 2.1 of our recent paper [6]. The improvement is explained in Section 1 and proved in Section 2. The importance…
Dynamics of the Ericksen-Leslie Equations with General Leslie Stress I: The Incompressible Isotropic Case
Matthias Hieber, Jan Prüss
The Ericksen-Leslie model for nematic liquid crystals in a bounded domain with general Leslie and isotropic Ericksen stress is studied in the case of a non-isothermal and incompres…
On the Muskat flow
Jan Pruess, Gieri Simonett
Of concern is the motion of two fluids separated by a free interface in a porous medium, where the velocities are given by Darcy's law. We consider the case with and without phase…