N. Abcha, N. Latrache, F. Dumouchel, and &. I. Mutabazi, Qualitative relation between reflected light intensity by Kalliroscope flakes and velocity field in the Couette???Taylor flow system, Experiments in Fluids, vol.209, issue.3, pp.85-94, 2008.
DOI : 10.1007/s00348-008-0465-9

F. Albarède, Time-dependent models of U???Th???He and K???Ar evolution and the layering of mantle convection, Chemical Geology, vol.145, issue.3-4, pp.3-4, 1998.
DOI : 10.1016/S0009-2541(97)00152-6

B. Aldridge, G. Seyed-mahmoud, &. W. Henderson, and . Van-wijngaarden, Elliptical instability of the Earth's fluid core, Physics of the Earth and Planetary Interiors, vol.103, issue.3-4, pp.365-374, 1997.
DOI : 10.1016/S0031-9201(97)00065-4

A. Aliseda, A. Cartellier, F. Hainaux, and &. J. Lasheras, Effect of preferential concentration on the settling velocity of heavy particles in homogeneous isotropic turbulence, Journal of Fluid Mechanics, vol.468, pp.77-105, 2002.
DOI : 10.1017/S0022112002001593
URL : https://hal.archives-ouvertes.fr/hal-00202275

C. Allègre and B. Othman, The Nd???Sr isotopic correlation in mantle materials and geodynamic consequences, Physics of the Earth and Planetary Interiors, vol.19, issue.4, pp.293-306, 1979.
DOI : 10.1016/0031-9201(79)90002-5

J. Arkani-hamed, Did tidal deformation power the core dynamo of Mars ? Icarus, pp.31-43, 2009.

J. Aubert, Modèles expérimentaux et numériques de la convection dans le noyau de la Terre, Thèse de Doctorat, 2001.

J. Aubert, H. Amit, G. Hulot, and &. P. Olson, Thermochemical flows couple the Earth's inner core growth to mantle heterogeneity, Nature, vol.94, issue.7205, pp.758-761, 2008.
DOI : 10.1038/nature07109

J. Aubert, D. Brito, H. Nataf, P. Cardin, and &. J. Masson, A systematic experimental study of rapidly rotating spherical convection in water and liquid gallium, Physics of the Earth and Planetary Interiors, vol.128, issue.1-4, pp.51-74, 2001.
DOI : 10.1016/S0031-9201(01)00277-1

J. M. Aurnou, Planetary core dynamics and convective heat transfer scaling???, Geophysical & Astrophysical Fluid Dynamics, vol.332, issue.5-6, pp.327-345, 2007.
DOI : 10.1017/S0022112004001120

B. Bayly, Three-Dimensional Instability of Elliptical Flow, Physical Review Letters, vol.57, issue.17, pp.2160-2163, 1986.
DOI : 10.1103/PhysRevLett.57.2160

M. Belinsky, H. Rubin, Y. Agnon, E. Kit, and &. J. Atkinson, Characteristics of Resuspension, Settling and Diffusion of Particulate Matter in a Water Column, Environmental Fluid Mechanics, vol.41, issue.1, pp.415-441, 2005.
DOI : 10.1007/s10652-004-7302-3

H. Bénard, Les tourbillons cellulaires dans une nappe de liquide, 1261.

M. Bergman, Measurements of electric anisotropy due to solidification texturing and the implications for the earth's inner core, Nature, vol.389, issue.6646, pp.60-62, 1997.
DOI : 10.1038/37962

M. Bergman and &. D. Fearn, Chimneys on the Earth's inner-outer core boundary?, Geophysical Research Letters, vol.237, issue.6, pp.477-480, 1994.
DOI : 10.1029/94GL00028

M. Bergman, M. Macleod-silberstein, M. Haskel, B. Chandler, and &. N. Akpan, A laboratory model for solidification of Earth's core, Physics of the Earth and Planetary Interiors, vol.153, issue.1-3, pp.1-3, 2005.
DOI : 10.1016/j.pepi.2005.03.016

F. Birch, Elasticity and constitution of the Earth's interior, Journal of Geophysical Research, vol.249, issue.14, pp.227-286, 1952.
DOI : 10.1029/JZ057i002p00227

F. Birch, Density and composition of mantle and core, Journal of Geophysical Research, vol.8, issue.no. 3, pp.4377-4388, 1964.
DOI : 10.1029/JZ069i020p04377

F. Blanchette, M. Strauss, E. Meiburg, B. Kneller, and &. M. Glinsky, High-resolution numerical simulations of resuspending gravity currents: Conditions for self-sustainment, Journal of Geophysical Research, vol.27, issue.11, 2005.
DOI : 10.1029/2005JC002927

T. Bosse, L. Kleiser, and &. E. Meiburg, Small particles in homogeneous turbulence: Settling velocity enhancement by two-way coupling, Physics of Fluids, vol.18, issue.2, p.27102, 2006.
DOI : 10.1063/1.2166456

D. Brito, J. Aurnou, and &. P. Cardin, Turbulent viscosity measurements relevant to planetary core-mantle dynamics, Physics of the Earth and Planetary Interiors, vol.141, issue.1, pp.3-8, 2004.
DOI : 10.1016/j.pepi.2003.08.005
URL : https://hal.archives-ouvertes.fr/hal-00107909

F. Busse, Homogeneous Dynamos in Planetary Cores and in the Laboratory, Annual Review of Fluid Mechanics, vol.32, issue.1, pp.383-408, 2000.
DOI : 10.1146/annurev.fluid.32.1.383

F. H. Busse, Thermal instabilities in rapidly rotating systems, Journal of Fluid Mechanics, vol.22, issue.03, pp.441-460, 1970.
DOI : 10.1086/148106

F. H. Busse and &. C. Carrigan, Convection induced by centrifugal buoyancy, Journal of Fluid Mechanics, vol.44, issue.03, pp.679-692, 1974.
DOI : 10.1086/150337

P. Cardin and &. P. Olson, Chaotic thermal convection in a rapidly rotating spherical shell: consequences for flow in the outer core, Physics of the Earth and Planetary Interiors, vol.82, issue.3-4, pp.3-4, 1994.
DOI : 10.1016/0031-9201(94)90075-2

M. Carr, Mars, pp.291-308, 1999.
DOI : 10.1016/B978-0-12-415845-0.00017-7
URL : https://hal.archives-ouvertes.fr/hal-00378884

C. R. Carrigan and &. F. Busse, An experimental and theoretical investigation of the onset of convection in rotating spherical shells, Journal of Fluid Mechanics, vol.191, issue.-1, pp.287-305, 1983.
DOI : 10.1017/S0022112070001921

D. Cébron, M. Le-bars, J. Leontini, P. Maubert, and &. Gal, A systematic numerical study of the tidal instability in a rotating ellipsoid, Physics of the Earth and Planetary Interiors, 2010.

D. Cébron, P. Maubert, and &. M. Bars, Tidal instability in a rotating and differentially heated ellipsoidal shell, Geophysical Journal International, 2010.

B. Chang, A. Mills, and &. E. Hernandez, Natural convection of microparticle suspensions in thin enclosures, International Journal of Heat and Mass Transfer, vol.51, issue.5-6, pp.1332-1341, 2008.
DOI : 10.1016/j.ijheatmasstransfer.2007.11.030

B. Chen, J. Li, &. S. Hauck, and I. , Non-ideal liquidus curve in the Fe-S system and Mercury's snowing core, Geophysical Research Letters, vol.316, issue.7, p.7201, 2008.
DOI : 10.1029/2008GL033311

U. Christensen and &. J. Aubert, Scaling properties of convection-driven dynamos in rotating spherical shells and application to planetary magnetic fields, Geophysical Journal International, vol.166, issue.1, pp.97-114, 2006.
DOI : 10.1111/j.1365-246X.2006.03009.x
URL : https://hal.archives-ouvertes.fr/hal-00149194

U. Christensen and &. A. Hofmann, Segregation of subducted oceanic crust in the convecting mantle (paper 93jb03403) Journal of Geophysical Research-Part B-Solid Earth- Printed Edition, pp.19867-19884, 1994.

&. Y. Coltice and . Ricard, Geochemical observations and one layer mantle convection, Earth and Planetary Science Letters, vol.174, issue.1-2, pp.125-137, 1999.
DOI : 10.1016/S0012-821X(99)00258-7

D. Sipp, D. Fabre, S. Michelin, and &. L. Jacquin, Stability of a vortex with a heavy core, Journal of Fluid Mechanics, vol.526, pp.67-76, 2005.
DOI : 10.1017/S0022112004003143

R. Deguen, Dynamique de la cristallisation de la grain : expériences et modèles, Thèse de Doctorat, 2009.

D. Depaolo and &. G. Wasserburg, Nd, Geophysical Research Letters, vol.5, issue.12, pp.743-746, 1976.
DOI : 10.1029/GL003i012p00743

A. Dziewonski and &. D. Anderson, Preliminary reference Earth model, Physics of the Earth and Planetary Interiors, vol.25, issue.4, pp.297-356, 1981.
DOI : 10.1016/0031-9201(81)90046-7

&. S. Eide and . Martin, The Formation of Brine Drainage Features in Young Sea Ice, Journal of Glaciology, vol.13, issue.70, pp.137-154, 1975.
DOI : 10.1017/S0022143000013460

C. Eloy, Instabilité multipolaire de tourbillons, Thèse de Doctorat, 2000.

C. Eloy and &. Dizès, Stability of the Rankine vortex in a multipolar strain field, Physics of Fluids, vol.13, issue.3, 2001.
DOI : 10.1063/1.1345716
URL : https://hal.archives-ouvertes.fr/hal-00021306

C. Eloy, P. L. Gal, and &. S. Dizès, Experimental Study of the Multipolar Vortex Instability, Physical Review Letters, vol.85, issue.16, pp.3400-3403, 2000.
DOI : 10.1103/PhysRevLett.85.3400
URL : https://hal.archives-ouvertes.fr/hal-00021308

C. Eloy, P. L. Gal, and &. S. Dizès, Elliptic and triangular instabilities in rotating cylinders, Journal of Fluid Mechanics, vol.476, pp.357-388, 2003.
DOI : 10.1017/S0022112002002999
URL : https://hal.archives-ouvertes.fr/hal-00021305

A. Evan, J. Dunion, J. Foley, A. Heidinger, and &. C. Velden, New evidence for a relationship between Atlantic tropical cyclone activity and African dust outbreaks, Geophysical Research Letters, vol.309, issue.5742, p.19813, 2006.
DOI : 10.1029/2006GL026408

B. Fabijonas and &. D. Holm, Craik???Criminale solutions and elliptic instability in nonlinear-reactive closure models for turbulence, Physics of Fluids, vol.16, issue.4, pp.853-866, 2004.
DOI : 10.1063/1.1638750

D. Fearn, Hydromagnetic flow in planetary cores, Reports on Progress in Physics, vol.61, issue.3, pp.175-235, 1998.
DOI : 10.1088/0034-4885/61/3/001

D. Fearn and &. D. Loper, Compositional convection and stratification of Earth's core, Nature, vol.287, issue.5796, 1981.
DOI : 10.1038/289393a0

D. Fearn, D. Loper, and &. P. Roberts, Structure of the Earth's inner core. Magnetohydrodynamics and the earth's core : selected works of Paul Roberts, p.86, 2002.

G. Fiquet, J. Badro, F. Guyot, H. Requardt, and &. M. Krisch, Sound Velocities in Iron to 110 Gigapascals, Science, vol.291, issue.5503, p.468, 2001.
DOI : 10.1126/science.291.5503.468

H. Gan, J. Chang, J. Feng, and &. H. Hu, Direct numerical simulation of the sedimentation of solid particles with thermal convection, Journal of Fluid Mechanics, vol.481, pp.345-411, 2003.
DOI : 10.1017/S0022112003003938

G. Gauthier, P. Gondret, and &. M. Rabaud, Motions of anisotropic particles: Application to visualization of three-dimensional flows, Physics of Fluids, vol.10, issue.9, p.2147, 1998.
DOI : 10.1063/1.869736

L. Geiger and &. B. Gutenberg, Uber erdbebenwellen vi Konstitution des Erdinnern erschlossen aus der Intensitat longitudinaler und transversaler Erdbebenwellen, und einige Beobachtungen an den Vorlaufern, Gesell. Wiss. Gottingen, Nachrichten, Math.physik . Kl, pp.623-675, 1912.

G. Glatzmaier and &. P. Olson, Highly supercritical thermal convection in a rotating spherical shell: Centrifugal vs. radial gravity, Geophysical & Astrophysical Fluid Dynamics, vol.41, issue.1-4, pp.113-136, 1993.
DOI : 10.1080/03091928708208809

G. Glatzmaier and &. P. Roberts, Dynamo theory then and now, International Journal of Engineering Science, vol.36, issue.12-14, pp.12-14, 1998.
DOI : 10.1016/S0020-7225(98)00035-4

E. Gledzer, F. Dolzhanskii, A. Obukhov, and &. V. Ponomarev, Experimental and theoretical studies of stability of fluid motion within an elliptical cylinder, Akademiia Nauk SSSR Fizika Atmosfery i Okeana, vol.11, pp.981-992, 1975.

E. Gledzer and &. V. Ponomarev, Finite-dimensional approximation of the motions of incompressible fluids within an ellipsoid, Akademiia Nauk SSSR Fizika Atmosfery i Okeana, vol.13, pp.820-827, 1977.

S. Grossmann and &. D. Lohse, Scaling in thermal convection: a unifying theory, Journal of Fluid Mechanics, vol.407, pp.27-56, 2000.
DOI : 10.1017/S0022112099007545

D. Gubbins and &. P. Roberts, Magnetohydrodynamics of the Earth's Core. Geomagnetism, 1987.

L. Guillou-frottier, J. Buttles, and &. P. Olson, Laboratory experiments on the structure of subducted lithosphere, Earth and Planetary Science Letters, vol.133, issue.1-2, pp.19-34, 1995.
DOI : 10.1016/0012-821X(95)00045-E
URL : https://hal.archives-ouvertes.fr/hal-00790806

M. Gurnis and &. G. Davies, The effect of depth-dependent viscosity on convective mixing in the mantle and the possible survival of primitive mantle, Geophysical Research Letters, vol.8, issue.6, pp.541-544, 1986.
DOI : 10.1029/GL013i006p00541

U. Hansen and &. D. Yuen, Numerical simulations of thermal-chemical instabilities at the core???mantle boundary, Nature, vol.334, issue.6179, pp.237-240, 1988.
DOI : 10.1038/334237a0

S. Hauck, I. , J. Aurnou, and &. A. Dombard, Sulfur's impact on core evolution and magnetic field generation on Ganymede, Journal of Geophysical Research, vol.163, issue.46, p.9008, 2006.
DOI : 10.1029/2005JE002557

W. Herreman, Instabilité elliptique sous champ magnétique, 2005.

W. Herreman, Instabilité elliptique sous champ magnétique et dynamo d'ondes inertielles, Thèse de Doctorat, 2009.

T. Hoink, J. Schmalzl, and &. U. Hansen, Dynamics of metal-silicate separation in a terrestrial magma ocean, Geochemistry, Geophysics, Geosystems, vol.87, issue.3-4, 2006.
DOI : 10.1029/2006GC001268

L. Howard, Convection at high Rayleigh number, Proc. 11, pp.1109-1115, 1964.
DOI : 10.1007/978-3-662-29364-5_147

W. Hubbard, Planetary interiors, 1984.

H. Huppert, J. Turner, and &. M. Hallworth, Sedimentation and entrainment in dense layers of suspended particles stirred by an oscillating grid, Journal of Fluid Mechanics, vol.171, issue.-1, pp.263-293, 1995.
DOI : 10.1016/0025-3227(79)90057-4

H. Ichikawa, S. Labrosse, and &. K. Kurita, Direct numerical simulation of an iron rain in the magma ocean, Journal of Geophysical Research, vol.422, issue.3???4, p.1404, 2010.
DOI : 10.1029/2009JB006427
URL : https://hal.archives-ouvertes.fr/hal-00583098

P. Ioannou and &. R. Lindzen, Gravitational Tides in the Outer Planets. II. Interior Calculations and Estimation of the Tidal Dissipation Factor, The Astrophysical Journal, vol.406, p.266, 1993.
DOI : 10.1086/172438

E. Ito, Stability relations of silicate perovskite under subsolidus conditions. Perovskite : A structure of Great Interest to Geophysics and Materials Science, pp.27-32, 1989.

J. Jacobs, The Earth's core. Academic Pr, 1987.

C. Jaupart and &. G. Brandeis, The stagnant bottom layer of convecting magma chambers, Earth and Planetary Science Letters, vol.80, issue.1-2, pp.183-199, 1986.
DOI : 10.1016/0012-821X(86)90032-4

C. Jaupart, G. Brandeis, and &. C. Allègre, Stagnant layers at the bottom of convecting magma chambers, Nature, vol.16, issue.5959, pp.535-538, 1984.
DOI : 10.1038/308535a0

C. Jaupart, S. Labrosse, and &. J. Mareschal, Temperatures, Heat and Energy in the Mantle of the Earth, Treatise on Geophysics, pp.253-303, 2007.
DOI : 10.1016/B978-044452748-6/00114-0

H. Jeffreys, The Rigidity of the Earth's Central Core., Geophysical Journal International, vol.1, pp.371-383, 1926.
DOI : 10.1111/j.1365-246X.1926.tb05385.x

A. Jephcoat and &. P. Olson, Is the inner core of the Earth pure iron?, Nature, vol.325, issue.6102, pp.332-335, 1987.
DOI : 10.1038/325332a0

S. Karato and &. P. Wu, Rheology of the Upper Mantle: A Synthesis, Science, vol.260, issue.5109, p.771, 1993.
DOI : 10.1126/science.260.5109.771

L. Kelvin, Vibrations of a columnar vortex, Phil. Mag, vol.10, pp.155-168, 1880.

R. Kerswell and &. W. Malkus, Tidal instability as the source for Io's magnetic signature, Geophysical Research Letters, vol.43, issue.5, pp.603-606, 1998.
DOI : 10.1029/98GL00237

E. King, S. Stellmach, J. Noir, U. Hansen, and &. J. Aurnou, Boundary layer control of rotating convection systems, Nature, vol.74, issue.7227, pp.301-304, 2009.
DOI : 10.1038/nature07647

E. Knittle and &. R. Jeanloz, Earth's Core-Mantle Boundary: Results of Experiments at High Pressures and Temperatures, Science, vol.251, issue.5000, pp.1438-1443, 1991.
DOI : 10.1126/science.251.5000.1438

J. Korenaga and &. T. Jordan, Effects of vertical boundaries on infinite Prandtl number thermal convection, Geophysical Journal International, vol.147, issue.3, pp.639-659, 2001.
DOI : 10.1046/j.1365-246x.2001.01561.x

T. Koyaguchi, M. Hallworth, H. Huppert, and &. R. Sparks, Sedimentation of particles from a convecting fluid, Nature, vol.343, issue.6257, pp.447-450, 1990.
DOI : 10.1038/343447a0

R. Krishnamurti, On the transition to turbulent convection. Part 1. The transition from two- to three-dimensional flow, Journal of Fluid Mechanics, vol.23, issue.02, pp.295-320, 1970.
DOI : 10.1063/1.1762379

S. Labrosse, J. Hernlund, and &. N. Coltice, A crystallizing dense magma ocean at the base of the Earth???s mantle, Nature, vol.446, issue.7171, pp.866-869, 2007.
DOI : 10.1038/nature06355

L. Lacaze, W. Herreman, M. L. Bars, S. Le-dizès, and &. P. Gal, Magnetic field induced by elliptical instability in a rotating spheroid, Geophysical & Astrophysical Fluid Dynamics, vol.11, issue.4-5, pp.4-5, 2006.
DOI : 10.1016/0032-0633(95)00039-8
URL : https://hal.archives-ouvertes.fr/hal-00084115

L. Lacaze, P. L. Gal, and &. S. Dizès, Elliptical instability in a rotating spheroid, Journal of Fluid Mechanics, vol.505, pp.1-22, 2004.
DOI : 10.1017/S0022112004008328
URL : https://hal.archives-ouvertes.fr/hal-00014901

L. Lacaze, P. L. Gal, and &. S. Dizès, Elliptical instability of the flow in a rotating shell, Physics of the Earth and Planetary Interiors, vol.151, issue.3-4, pp.3-4, 2005.
DOI : 10.1016/j.pepi.2005.03.005

G. Lavorel and &. M. Bars, Sedimentation of particles in a vigorously convecting fluid, Physical Review E, vol.80, issue.4, p.46324, 2009.
DOI : 10.1103/PhysRevE.80.046324
URL : https://hal.archives-ouvertes.fr/hal-00432705

M. and L. Bars, Convection thermique dans un fluide visqueux hétérogène : phénoménologie , lois d'échelle et applications aux systèmes terrestres, Thèse de Doctorat, 2003.

M. , L. Bars, and &. S. Dizès, Thermo-elliptical instability in a rotating cylindrical shell, Journal of Fluid Mechanics, vol.563, pp.189-198, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00084046

M. L. Bars, S. Le-dizès, and &. P. Gal, Coriolis effects on the elliptical instability in cylindrical and spherical rotating containers, Journal of Fluid Mechanics, vol.19, pp.323-342, 2007.
DOI : 10.1017/S0022112097007982
URL : https://hal.archives-ouvertes.fr/hal-00432733

S. , L. Dizès, and &. F. Laporte, Theoretical predictions for the elliptical instability in a twovortex flow, Journal of Fluid Mechanics, vol.471, pp.169-201, 2002.

I. Lehmann, P : Publications du bureau central séismologique international, Travaux scientifiques, pp.87-115, 1936.

T. Leweke and &. C. Williamson, Cooperative elliptic instability of a vortex pair, Journal of Fluid Mechanics, vol.360, pp.85-119, 1998.
DOI : 10.1017/S0022112097008331

T. Leweke and &. C. Williamson, Three-dimensional instabilities in wake transition, European Journal of Mechanics - B/Fluids, vol.17, issue.4, pp.571-586, 1998.
DOI : 10.1016/S0997-7546(98)80012-5

W. Malkus, An experimental study of global instabilities due to the tidal (elliptical) distortion of a rotating elastic cylinder, Geophysical & Astrophysical Fluid Dynamics, vol.27, issue.1-3, pp.123-134, 1989.
DOI : 10.1017/S0022112070000411

W. Malkus, Energy Sources for Planetary Dynamos, Lectures on solar and planetary dynamos, p.161, 1994.
DOI : 10.1017/CBO9780511624025.007

P. Manneville, Instabilités, chaos et turbulence. Editions Ecole Polytechnique, 2004.

D. Martin and &. R. Nokes, Crystal settling in a vigorously convecting magma chamber, Nature, vol.332, 1988.

D. Martin and &. R. Nokes, A Fluid-Dynamical Study of Crystal Settling in Convecting Magmas, Journal of Petrology, vol.30, issue.6, pp.1471-1500, 1989.
DOI : 10.1093/petrology/30.6.1471

D. Matson, A. Davies, G. Veeder, J. Rathbun, T. Johnson et al., Io: Loki Patera as a magma sea, Journal of Geophysical Research, vol.1, issue.E12, p.9002, 2006.
DOI : 10.1029/2006JE002703

. Mei, Effect of turbulence on the particle settling velocity in the nonlinear drag range, International Journal of Multiphase Flow, vol.20, issue.2, pp.273-284, 1994.
DOI : 10.1016/0301-9322(94)90082-5

P. Meunier, U. Ehrenstein, T. Leweke, and &. M. Rossi, A merging criterion for two-dimensional co-rotating vortices, Physics of Fluids, vol.14, issue.8, p.2757, 2002.
DOI : 10.1063/1.1489683
URL : https://hal.archives-ouvertes.fr/hal-00081683

R. Montelli, G. Nolet, F. Dahlen, G. Masters, E. Engdahl et al., Finite-Frequency Tomography Reveals a Variety of Plumes in the Mantle, Science, vol.303, issue.5656, p.338, 2004.
DOI : 10.1126/science.1092485

W. Moore, Tidal heating and convection in Io, Journal of Geophysical Research, vol.104, issue.5469, 2003.
DOI : 10.1029/2002JE001943

W. Morgan, Deep mantle convection plumes and plate motions, Am. Assoc. Pet. Geol. Bull, vol.56, issue.2, pp.203-213, 1972.

C. Morize, M. L. Bars, P. L. Gal, and &. A. Tilgner, Experimental Determination of Zonal Winds Driven by Tides, Physical Review Letters, vol.104, issue.21, p.214501, 2010.
DOI : 10.1103/PhysRevLett.104.214501
URL : https://hal.archives-ouvertes.fr/hal-00459905

H. Nataf, Cours de M2R. http://www-lgit.obs.ujf-grenoble.fr/users, 2010.

H. Nataf and &. S. Houard, Seismic discontinuity at the top of D???: A world-wide feature?, Geophysical Research Letters, vol.95, issue.21, pp.2371-2374, 1993.
DOI : 10.1029/93GL02686

G. Neumann, Three-dimensional numerical simulation of buoyancy-driven convection in vertical cylinders heated from below, Journal of Fluid Mechanics, vol.26, issue.-1, pp.559-578, 1990.
DOI : 10.1038/335202a0

F. Nimmo and &. D. Stevenson, Influence of early plate tectonics on the thermal evolution and magnetic field of Mars, Journal of Geophysical Research: Planets, vol.101, issue.E5, pp.11969-11980, 2000.
DOI : 10.1029/1999JE001216

J. Noir, Ecoulement d'un fluide dans une cavité en précession : approches numériques et expérimentales, Thèse de Doctorat, 2000.

R. Oldham, The constitution of the interior of the earth, as revealed by earthquakes, Quarterly Journal of the Geological Society, vol.62, pp.1-4, 1906.

W. Peltier and &. G. Jarvis, Whole mantle convection and the thermal evolution of the earth, Physics of the Earth and Planetary Interiors, vol.29, issue.3-4, pp.3-4, 1982.
DOI : 10.1016/0031-9201(82)90018-8

J. Poirier, Cloak of mystery over Earth's mantle, Physics World, vol.4, issue.8, pp.26-27, 1991.
DOI : 10.1088/2058-7058/4/8/26

J. Poirier, Light elements in the Earth's outer core: A critical review, Physics of the Earth and Planetary Interiors, vol.85, issue.3-4, pp.319-337, 1994.
DOI : 10.1016/0031-9201(94)90120-1

G. Poupinet, R. Pillet, and &. A. Souriau, Possible heterogeneity of the Earth's core deduced from PKIKP travel times, Nature, vol.214, issue.5931, pp.204-206, 1983.
DOI : 10.1038/305204a0

P. Roberts and &. G. Glatzmaier, Geodynamo theory and simulations, Reviews of Modern Physics, vol.72, issue.4, pp.1081-1123, 2000.
DOI : 10.1103/RevModPhys.72.1081

D. Rubie, H. Melosh, J. Reid, C. Liebske, and &. K. Righter, Mechanisms of metal???silicate equilibration in the terrestrial magma ocean, Earth and Planetary Science Letters, vol.205, issue.3-4, pp.239-255, 2003.
DOI : 10.1016/S0012-821X(02)01044-0

A. Sample and &. A. Hellawell, The mechanisms of formation and prevention of channel segregation during alloy solidification, Metallurgical Transactions A, vol.58, issue.12, pp.2163-2173, 1984.
DOI : 10.1007/BF02647099

L. Schmidt and &. W. Zhang, Viscous Withdrawal of Miscible Liquid Layers, Physical Review Letters, vol.100, issue.4, p.44502, 2008.
DOI : 10.1103/PhysRevLett.100.044502

S. Schmitz and &. A. Tilgner, Heat transport in rotating convection without Ekman layers, Physical Review E, vol.80, issue.1, 2009.
DOI : 10.1103/PhysRevE.80.015305

B. Seyed-mahmoud, K. Aldridge, and &. G. Henderson, Elliptical instability in rotating spherical fluid shells: application to Earth???s fluid core, Physics of the Earth and Planetary Interiors, vol.142, issue.3-4, pp.3-4, 2004.
DOI : 10.1016/j.pepi.2004.01.001

I. Sidorin and &. M. Gurnis, Geodynamically consistent seismic velocity predictions at the base of the mantle, Geodyn. Ser, vol.79, pp.209-230, 1998.
DOI : 10.1029/GD028p0209

V. Solomatov, P. Olson, and &. D. Stevenson, Entrainment from a bed of particles by thermal convection, Earth and Planetary Science Letters, vol.120, issue.3-4, pp.387-393, 1993.
DOI : 10.1016/0012-821X(93)90252-5

V. Solomatov and &. D. Stevenson, Nonfractional crystallization of a terrestrial magma ocean, Journal of Geophysical Research: Planets, vol.14, issue.E3, pp.5391-5406, 1993.
DOI : 10.1029/92JE02579

A. Souriau, Deep earth structure?the earth's cores, Treatise on Geophysics, pp.655-693, 2007.

F. Stacey, Effects on the core of structure within d???, Geophysical & Astrophysical Fluid Dynamics, vol.47, issue.1-4, pp.157-163, 1991.
DOI : 10.1016/0031-9201(84)90011-6

D. Stevenson, Models of the Earth's Core, Science, vol.214, issue.4521, p.611, 1981.
DOI : 10.1126/science.214.4521.611

D. Stevenson, Planetary magnetic fields, Earth and Planetary Science Letters, vol.208, issue.1-2, pp.1-11, 2003.
DOI : 10.1016/S0012-821X(02)01126-3

A. Stewart, M. Schmidt, W. Van-westrenen, and &. C. Liebske, Mars: A New Core-Crystallization Regime, Science, vol.316, issue.5829, p.1323, 2007.
DOI : 10.1126/science.1140549

L. Stixrude, E. Wasserman, and &. R. Cohen, Composition and temperature of Earth's inner core, Journal of Geophysical Research: Solid Earth, vol.70, issue.B11, pp.24-24, 1997.
DOI : 10.1029/97JB02125

W. Su, A. Dziewonski, and &. R. Jeanloz, Planet Within a Planet: Rotation of the Inner Core of Earth, Science, vol.274, issue.5294, p.1883, 1996.
DOI : 10.1126/science.274.5294.1883

S. Suess, Viscous flow in a deformable rotating container, Journal of Fluid Mechanics, vol.17, issue.01, pp.189-201, 2006.
DOI : 10.1017/S0022112068001655

J. Thomson, On a changing tesselated structure in certain liquids [due to convective circulation]. Philosophical Society of Glasgow, p.1882

D. Tritton, Physical fluid dynamics, 1988.

J. Verhoogen, Energetics of the earth, National Academy of Sciences, vol.139, 1980.

F. Waleffe, On the three-dimensional instability of strained vortices. Physics of Fluids A : Fluid Dynamics, p.76, 1990.

L. Wang and &. M. Maxey, Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence, Journal of Fluid Mechanics, vol.4, issue.-1, pp.27-68, 1993.
DOI : 10.1016/0009-2509(68)87092-7

S. Weinstein and &. P. Olson, Planforms in Thermal Convection With Internal Heat Sources at Large Rayleigh and Prandtl Numbers, Geophysical Research Letters, vol.89, issue.3, pp.239-242, 1990.
DOI : 10.1029/GL017i003p00239

J. Wettlaufer, M. Worster, and &. H. Huppert, Solidification of leads: Theory, experiment, and field observations, Journal of Geophysical Research: Oceans, vol.101, issue.35, pp.1123-1134, 2000.
DOI : 10.1029/1999JC900269

U. Wienbruch and &. T. Spohn, A self sustained magnetic field on Io?, Planetary and Space Science, vol.43, issue.9, pp.1045-1057, 1995.
DOI : 10.1016/0032-0633(95)00039-8

J. Wilson, A POSSIBLE ORIGIN OF THE HAWAIIAN ISLANDS, Canadian Journal of Physics, vol.41, issue.6, pp.863-870, 1963.
DOI : 10.1139/p63-094

M. Worster, CONVECTION IN MUSHY LAYERS, Annual Review of Fluid Mechanics, vol.29, issue.1, pp.91-122, 1997.
DOI : 10.1146/annurev.fluid.29.1.91

M. Worster and &. H. Moffatt, Solidification of Fluids, Perspectives in Fluid Dynamics, pp.393-446, 2000.

T. Yang and &. S. Shy, The settling velocity of heavy particles in an aqueous near-isotropic turbulence, Physics of Fluids, vol.15, issue.4, p.868, 2003.
DOI : 10.1063/1.1557526

T. S. Yang and &. S. Shya, The settling velocity of heavy particles in an aqueous near-isotropic turbulence, Physics of Fluids, vol.15, issue.4, pp.868-880, 2003.
DOI : 10.1063/1.1557526

A. Yeganeh-haeri, D. Weidner, and &. E. Ito, Elasticity of MgSiO3 in the Perovskite Structure, Science, vol.243, issue.4892, pp.787-796, 1989.
DOI : 10.1126/science.243.4892.787

S. Yoshida, I. Sumita, and &. M. Kumazawa, Growth model of the inner core coupled with the outer core dynamics and the resulting elastic anisotropy, Journal of Geophysical Research: Solid Earth, vol.68, issue.22, pp.28085-28103, 1996.
DOI : 10.1029/96JB02700

K. Zhang and &. G. Greed, Convection in rotating annulus: An asymptotic theory and numerical solutions, Physics of Fluids, vol.10, issue.9, p.2396, 1998.
DOI : 10.1063/1.869756

K. Zhang and &. D. Gubbins, On convection in the earth's core driven by lateral temperature variations in the lower mantle, Geophysical Journal International, vol.108, issue.1, pp.247-255, 1992.
DOI : 10.1111/j.1365-246X.1992.tb00853.x

K. Zhang and &. X. Liao, The onset of convection in rotating circular cylinders with experimental boundary conditions, Journal of Fluid Mechanics, vol.15, pp.63-73, 2009.
DOI : 10.1017/S0022112005008189

K. Zhang, X. Liao, and &. F. Busse, Asymptotic solutions of convection in rapidly rotating non-slip spheres, Journal of Fluid Mechanics, vol.578, pp.371-380, 2007.
DOI : 10.1017/S002211200700523X