Two-Phase Flow in Rotating Hele-Shaw Cells with Coriolis Effects
Joachim Escher, Patrick Guidotti, Christoph Walker
TL;DR
This paper investigates the mathematical modeling of two-phase flow in a rotating Hele-Shaw cell considering Coriolis effects, establishing solution existence, uniqueness, and stability criteria based on fluid densities.
Contribution
It introduces a rigorous analysis of the free boundary problem with Coriolis effects, providing new insights into solution behavior and stability in rotating Hele-Shaw flows.
Findings
Existence and uniqueness of solutions near spheres
Asymptotic stability depends on fluid densities
Characterization of stability and instability regimes
Abstract
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.
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