2 citations · 5 across the 10 of their papers we have counts for
13 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…
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 est…
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…
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…
Non-Newtonian thin-film equations: global existence of solutions, gradient-flow structure and guaranteed lift-off
Peter Gladbach, Jonas Jansen, Christina Lienstromberg
We study the gradient-flow structure of a non-Newtonian thin film equation with power-law rheology. The equation is quasilinear, of fourth order and doubly-degenerate parabolic. By…
A data-driven approach to viscous fluid mechanics -- the stationary case
Christina Lienstromberg, Stefan Schiffer, Richard Schubert
We introduce a data-driven approach to the modelling and analysis of viscous fluid mechanics. Instead of including constitutive laws for the fluid's viscosity in the mathematical m…
Long-time behaviour and stability for quasilinear doubly degenerate parabolic equations of higher order
Jonas Jansen, Christina Lienstromberg, Katerina Nik
We study the long-time behaviour of solutions to quasilinear doubly degenerate parabolic problems of fourth order. The equations model for instance the dynamic behaviour of a non-N…
Long-time asymptotics and regularity estimates for weak solutions to a doubly degenerate thin-film equation in the Taylor-Couette setting
Christina Lienstromberg, Juan J. L. Velázquez
We study the dynamic behaviour of solutions to a fourth-order quasilinear degenerate parabolic equation for large times arising in fluid dynamical applications. The degeneracy occu…
Non-Newtonian two-phase thin-film problem: Local existence, uniqueness, and stability
Oliver Assenmacher, Gabriele Bruell, Christina Lienstromberg
We study the flow of two immiscible fluids located on a solid bottom, where the lower fluid is Newtonian and the upper fluid is a non-Newtonian Ellis fluid. Neglecting gravitationa…
Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid
Christina Lienstromberg, Tania Pernas-Castaño, Juan J. L. Velázquez
We study the dynamic behaviour of two viscous fluid films confined between two concentric cylinders rotating at a small relative velocity. It is assumed that the fluids are immisci…
Stratified periodic water waves with singular density gradients
Joachim Escher, Patrik Knopf, Christina Lienstromberg +1
We consider Euler's equations for free surface waves traveling on a body of density stratified water in the scenario when gravity and surface tension act as restoring forces. The f…
Local strong solutions to a quasilinear degenerate fourth-order thin-film equation
Christina Lienstromberg, Stefan Müller
We study the problem of existence and uniqueness of strong solutions to a degenerate quasilinear parabolic non-Newtonian thin-film equation. Originating from a non-Newtonian Navier…