The free boundary problem of a two phase flow in a rotating Hele-Shaw cell with Coriolis effects is studied. Existence and uniqueness of solutions near spheres is established, and the asymptotic stability and instability of the trivial solution is characterized in dependence on the fluid densities.
Cite this article
Joachim Escher, Patrick Guidotti, Christoph Walker, Two-phase flow in rotating Hele-Shaw cells with Coriolis effects. Interfaces Free Bound. 15 (2013), no. 2, pp. 237–261DOI 10.4171/IFB/302