5 papers · 1 filter
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…
Multi-parameter Hopf bifurcations of rimming flows
Illya M. Karabash, Christina Lienstromberg, Juan J. L. Velázquez
In order to investigate the emergence of periodic oscillations of rimming flows, we study analytically the stability of steady states for the model of (Benilov, Kopteva, O'Brien, 2…