4 papers
Analysis of a three-dimensional fluid flow in rotating cylinders
Juri Joussen, Janne Laudien, Christina Lienstromberg +1
Subject of consideration is the modelling and analysis of a capillary-driven three-dimensional rimming-flow problem. We present the derivation of a fourth-order quasilinear degener…
Strong solutions and stability for a thin-film equation of shear-thinning fluids with contact line in partial wetting
Manuel V. Gnann, Christina Lienstromberg, Katerina Nik
We consider a power-law thin-film equation for strongly shear-thinning fluids. Weak solutions to this equation have been constructed more than twenty years ago by Ansini and Giacom…
A variational approach to the Navier-Stokes equations with shear-dependent viscosity
Christina Lienstromberg, Stefan Schiffer, Richard Schubert
We present a variational approach for the construction of Leray-Hopf solutions to the non-Newtonian Navier-Stokes system. Inspired by the work [42] on the corresponding Newtonian p…
Bernis estimates for higher-dimensional doubly-degenerate non-Newtonian thin-film equations
Christina Lienstromberg, Katerina Nik
For the doubly-degenerate parabolic non-Newtonian thin-film equation we derive (local versions) of Bernis e…