Geodesic
Two-phase flow in rotating Hele-Shaw cells with Coriolis effects
Joachim Escher1 ; Patrick Guidotti2 ; Christoph Walker3
1University of Hannover, Germany
2University of California, Irvine, USA
3Leibniz-Universität Hannover, Germany
Interfaces and free boundaries, Tome 15 (2013) no. 2, pp. 237-261

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DOI

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.
DOI : 10.4171/ifb/302
Classification : 35-XX, 42-XX
Mots-clés : Two phase flow, free boundary problem, well-posedness, stability of equilibria

Joachim Escher  1   ; Patrick Guidotti  2   ; Christoph Walker  3

1 University of Hannover, Germany
2 University of California, Irvine, USA
3 Leibniz-Universität Hannover, Germany 
Joachim Escher; Patrick Guidotti; Christoph Walker. Two-phase flow in rotating Hele-Shaw cells with Coriolis effects. Interfaces and free boundaries, Tome 15 (2013) no. 2, pp. 237-261. doi: 10.4171/ifb/302
@article{10_4171_ifb_302,
     author = {Joachim Escher and Patrick Guidotti and Christoph Walker},
     title = {Two-phase flow in rotating {Hele-Shaw} cells with {Coriolis} effects},
     journal = {Interfaces and free boundaries},
     pages = {237--261},
     year = {2013},
     volume = {15},
     number = {2},
     doi = {10.4171/ifb/302},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/302/}
}
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