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Two-phase flow in rotating hele-shaw cells with coriolis effects

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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. 2010 Mathematics Subject Classification: Primary 35K90, 35Q35, 42A16. © European Mathematical Society 2013.

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