B. Albaalbaki and R. E. Khayat, Pattern selection in the thermal convection of nonNewtonian fluids, J. Fluid Mech, vol.668, pp.500-550, 2011.

N. J. Balmforth and A. C. Rust, Weakly nonlinear viscoplastic convection, J. NonNewtonian Fluid Mech, vol.158, pp.36-45, 2009.

R. Bird, R. Amstrong, and O. Hassager, Dynamics of polymeric liquids, 1987.

H. Bénard, Les tourbillons cellulaires dans une nappe liquide, Rev. Gén. Sc. Pure Appl, vol.11, pp.1309-1328, 1900.

F. Busse, On the stability of two-dimensional convection in a layer heated from below, J. Math. Phys, vol.46, pp.140-150, 1967.

F. H. Busse and R. M. Clever, Instabilities of convection rolls in a fluid of moderate prandtl, J. Fluid. Mech, vol.91, pp.319-335, 1979.

S. Chandrasekhar, Hydrodynamic end hydromagnetic stability, 1980.

, Learn about clouds, climate, weather and modelling, Disponible sur Internet à l'adresse

C. Géomanips and L. Mouvements-de-la-terre, Disponible sur Internet à l'adresse, 2012.

P. G. Drazin and W. H. Reid, Hydrodynamic stability, 1995.

S. C. Generalis and K. Fujimura, Range of validity of weakly nonlinear theory in theRayleigh-Bénard problem, Journal of the Physical Society of Japan, vol.78, pp.1-11, 2009.

S. Harchambois, Modélisation de la thermoconvection d'un fluide rhéofluidifiant en géométrie de Rayleigh-Bénard, 2012.

T. Herbert, On perturbation methods in nonlinear stability theory, J. Fluid Mech, vol.126, pp.167-186, 1983.

H. Inaba, C. Dai, and A. Horibe, Numerical simulation of Rayleigh-Bénard convection in non-newtonian phase-change-material slurries, Int. J. Therm. Sci, vol.42, pp.471-480, 2003.

R. Khayat, Chaos in the thermal convectin of weakly shear-thinning fluids, J. NonNewtonian Fluid. Mech, vol.63, pp.153-178, 1996.

L. Kuo and P. Chen, Effects of slip boundary conditions on Rayleigh-Bénard convection, Journal of Mechanics, vol.25, pp.205-212, 2009.

P. Manneville, Dissipative structures and weak turbulence, 1990.

C. Navier, Finite bandwidth, finite amplitude convection, J. Fluid Mech, vol.38, pp.279-303, 1969.

H. Ozoe and S. W. Churchill, Hydrodynamic stability and natural convection in ostwald-de waele and ellis fluids : The development of a numerical solution, AIChE Journal, vol.18, pp.1196-1207, 1972.

E. M. Parmentier, A study of tbermal convection in non-newtonian fluids, J. Fluid. Mech, vol.84, pp.1-11, 1978.

A. Pellew and R. V. Southwell, On maintained convective motion in a fluid heated from below, Proc. Roy. Soc. A, vol.176, pp.312-343, 1940.

E. Plaut, Modélisation d'instabilités-méthodes non linéaires. Cours de Master 2 recherche mécanique et énergétique, 2007.

E. Plaut, Communication privée, 2012.

J. W. Rayleigh, On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side, Phil. Mag, vol.6, pp.432-546, 1916.

N. Roland, Modélisation de la transition vers la turbulence d'écoulements en tuyau de fluides rhéofluidifiants par calcul numérique d'ondes non linéaires, 2010.

A. Schlüter, D. Lortz, and F. Busse, On the stability of steady finite amplitude convection, J. Fluid Mech, vol.23, pp.129-144, 1965.

S. Schmitt and M. Lücke, Amplitude equation for modulated rayleigh-bénard convection, Phys. Rev. A, vol.44, pp.4986-5002, 1991.

L. A. Segel, Distant side-walls cause slow amplitude modulation of cellular convection, J. Fluid Mech, vol.38, pp.203-224, 1969.

P. K. Sen and D. Venkateswarlu, On the stability of plane Poiseuille flow to finiteamplitude disturbances considering the higher-order Landau coefficients, J. Fluid Mech, vol.133, pp.179-206, 1983.

C. Tien, H. S. Tsuei, and Z. S. Sun, Thermal instability of a horizontal layer of non-newtonian fluid heated from below, Int. J. Heat Mass Transfer, vol.12, pp.1173-1178, 1969.

L. N. Trefethen, Spectral methods in Matlab. SIAM, Philadelphia, 2000.

V. Vidal, Intéraction des différentes échelles de convection dans le manteau terrestre, 2004.

J. Watson, On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. part 2. the development of a solution for plane poiseuille flow and for plane couette flow, J. Fluid Mech, vol.9, pp.371-389, 1960.

M. Webber, The destabilizing effect of boundary slip on Bénard convection, Math. Meth. Appl. Sci, vol.29, pp.819-838, 2006.