Two-phase flow in rotating Hele-Shaw cells with Coriolis effects
Author(s) -
Joachim Escher,
Patrick Guidotti,
Christoph Walker
Publication year - 2013
Publication title -
interfaces and free boundaries mathematical analysis computation and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.964
H-Index - 39
eISSN - 1463-9971
pISSN - 1463-9963
DOI - 10.4171/ifb/302
Subject(s) - hele shaw flow , uniqueness , spheres , flow (mathematics) , boundary (topology) , instability , mechanics , two phase flow , physics , phase (matter) , classical mechanics , mathematics , mathematical analysis , open channel flow , quantum mechanics , astronomy
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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