Finite-amplitude Rayleigh- B??nard convection for weakly shear thinning fluids, Journal of Physics: Conference Series, vol.137, p.12024, 2008. ,
DOI : 10.1088/1742-6596/137/1/012024
URL : http://iopscience.iop.org/article/10.1088/1742-6596/137/1/012024/pdf
Shear-thinning-induced chaos in Taylor-Couette flow, Physical Review E, vol.22, issue.2, pp.1455-1567, 1999. ,
DOI : 10.1016/0377-0257(86)80002-7
Weakly nonlinear viscoplastic convection, Journal of Non-Newtonian Fluid Mechanics, vol.158, issue.1-3, pp.1-3, 2009. ,
DOI : 10.1016/j.jnnfm.2008.07.012
Finite-amplitude long-wave instability of Bingham liquid films. Nonlinear Anal.: Real World Appl, pp.1500-1513, 2008. ,
DOI : 10.1016/j.nonrwa.2008.01.018
The Equivalence Between Two Perturbation Methods in Weakly Nonlinear Stability Theory for Parallel Shear Flows, Proc. R. Soc. Lond. Ser. A 424, pp.373-392, 1989. ,
DOI : 10.1098/rspa.1989.0090
Center manifold reduction and the Stuart?Landau equation for fluid motions, Proc. R. Soc. Lond. Ser. A 453, pp.181-203, 1997. ,
DOI : 10.1098/rspa.1997.0011
The stability of thermally stratified plane Poiseuille flow, Journal of Fluid Mechanics, vol.15, issue.01, pp.21-32, 1968. ,
DOI : 10.1063/1.1704198
Range of Validity of Weakly Nonlinear Theory in the Rayleigh???B??nard Problem, Journal of the Physical Society of Japan, vol.78, issue.8, p.84401, 2009. ,
DOI : 10.1143/JPSJ.78.084401
1993 Stability of two and three dimensional viscoplastic flows and generalized Squire theorem, Isv. AN SSSR Mekh. Tverdogo Tela, vol.28, pp.117-123 ,
Weakly Nonlinear Dynamics of Interface Propagation, Studies in Applied Mathematics, vol.87, issue.4, pp.323-350, 2002. ,
DOI : 10.1016/0167-2789(93)90014-R
Nonlinear stability of parallel flows by high-order amplitude expansions, 11th Fluid and PlasmaDynamics Conference, pp.243-248, 1980. ,
DOI : 10.1017/S0022112067000618
On perturbation methods in nonlinear stability theory, Journal of Fluid Mechanics, vol.33, issue.-1, pp.167-186, 1983. ,
DOI : 10.1017/S0022112061000408
On the determination of the plug flow region in Bingham fluids through the application of variational inequalities, Journal of Non-Newtonian Fluid Mechanics, vol.58, issue.2-3, pp.207-217, 1995. ,
DOI : 10.1016/0377-0257(95)01342-S
Chaos in the thermal convection of weakly shear-thinning fluids, Journal of Non-Newtonian Fluid Mechanics, vol.63, issue.2-3, pp.153-178, 1996. ,
DOI : 10.1016/0377-0257(95)01419-5
Solution of the non-linear equations of cellular convection and heat transport, Journal of Fluid Mechanics, vol.81, issue.04, pp.611-634, 1996. ,
DOI : 10.1063/1.1706007
Finite amplitude cellular convection, Journal of Fluid Mechanics, vol.31, issue.03, pp.225-260, 1958. ,
DOI : 10.1098/rspa.1951.0177
Three-dimensional global instability modes associated with a localized hot spot in Rayleigh???B??nard???Poiseuille convection, Journal of Fluid Mechanics, vol.551, issue.-1, pp.275-301, 2006. ,
DOI : 10.1017/S0022112005008323
Nonlinear stability of the Bingham Rayleigh???B??nard Poiseuille flow, Journal of Non-Newtonian Fluid Mechanics, vol.158, issue.1-3, pp.127-131, 2009. ,
DOI : 10.1016/j.jnnfm.2008.08.009
On linear stability of Rayleigh?Bénard Poiseuille flow of viscoplastic fluids, Phys. Fluids, vol.20, issue.10, pp.104106-104107, 2008. ,
Convective Patterns in Horizontal Flow, Convective patterns in horizontal flow, p.451, 1989. ,
DOI : 10.1209/0295-5075/10/5/011
Revue bibliographique sur les ??coulements de??Poiseuille???Rayleigh???B??nard : ??coulements de convection mixte en conduites rectangulaires horizontales chauff??es par le bas, International Journal of Thermal Sciences, vol.41, issue.10, pp.961-1016, 2002. ,
DOI : 10.1016/S1290-0729(02)01374-1
Two-dimensional plastic flow of a Bingham solid, Proc. Camb. Phil. Soc. 43, pp.383-395, 1947. ,
DOI : 10.1017/S0305004100023616
1947b A rational formulation of the equations of plastic flow for a Bingham solid, Proc. Camb. Phil. Soc. 43, pp.100-105 ,
Etude de la convection mixte entre deux plans horizontaux ?? temp??ratures diff??rentes???III, International Journal of Heat and Mass Transfer, vol.38, issue.5, pp.875-886, 1994. ,
DOI : 10.1016/0017-9310(94)00206-B
A variational formulation for the stability of flows with temperature gradients, International Journal of Engineering Science, vol.9, issue.9, pp.855-869 ,
DOI : 10.1016/0020-7225(71)90076-0
Finite-amplitude instability of parallel shear flows, Journal of Fluid Mechanics, vol.119, issue.03, pp.465-492, 1967. ,
DOI : 10.1103/PhysRev.91.780
Stability and Transition in Shear Flows, 2001. ,
DOI : 10.1007/978-1-4613-0185-1
Numerical simulation of non-isothermal viscoplastic waxy crude oil flows, Journal of Non-Newtonian Fluid Mechanics, vol.128, issue.2-3, pp.144-162, 2005. ,
DOI : 10.1016/j.jnnfm.2005.04.005
URL : https://hal.archives-ouvertes.fr/hal-00531174
Yield stress effects on Rayleigh???B??nard convection, Journal of Fluid Mechanics, vol.566, pp.389-419, 2006. ,
DOI : 10.1017/S002211200600200X