Details
Original language | English |
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Pages (from-to) | 237-261 |
Number of pages | 25 |
Journal | Interfaces and Free Boundaries |
Volume | 15 |
Issue number | 2 |
Publication status | Published - 17 Sept 2013 |
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. 2010 Mathematics Subject Classification: Primary 35K90, 35Q35, 42A16.
Keywords
- Free boundary problem, Stability of equilibria, Two phase flow, Well-posedness
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Surfaces and Interfaces
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In: Interfaces and Free Boundaries, Vol. 15, No. 2, 17.09.2013, p. 237-261.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Two-phase flow in rotating Hele-Shaw cells with Coriolis effects
AU - Escher, Joachim
AU - Guidotti, Patrick
AU - Walker, Christoph
PY - 2013/9/17
Y1 - 2013/9/17
N2 - 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.
AB - 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.
KW - Free boundary problem
KW - Stability of equilibria
KW - Two phase flow
KW - Well-posedness
UR - http://www.scopus.com/inward/record.url?scp=84884837408&partnerID=8YFLogxK
U2 - 10.4171/IFB/302
DO - 10.4171/IFB/302
M3 - Article
AN - SCOPUS:84884837408
VL - 15
SP - 237
EP - 261
JO - Interfaces and Free Boundaries
JF - Interfaces and Free Boundaries
SN - 1463-9963
IS - 2
ER -