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math.AP2016★ 1 cited
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…
math.AP2016
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…
math.AP2016★ 13 cited
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…