5 papers
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…
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…