A. Andersen, B. Lautrup, and T. Bohr, An averaging method for nonlinear laminar Ekman layers, Journal of Fluid Mechanics, vol.487, pp.81-90, 2003.
DOI : 10.1017/S0022112003004658

P. Brancher and J. M. Chomaz, Absolute and Convective Secondary Instabilities in Spatially Periodic Shear Flows, Physical Review Letters, vol.78, issue.4, pp.658-661, 1997.
DOI : 10.1103/PhysRevLett.78.658

J. M. Chomaz, A. Couairon, and S. Julien, Absolute and convective nature of the Eckhaus and zigzag instability with throughflow, Physics of Fluids, vol.11, issue.11, pp.3369-3373, 1999.
DOI : 10.1063/1.870195

A. Couairon and J. M. Chomaz, Pattern Selection in the Presence of a Cross Flow, Physical Review Letters, vol.79, issue.14, pp.2666-2669, 1997.
DOI : 10.1103/PhysRevLett.79.2666

A. Couairon and J. M. Chomaz, Fully nonlinear global modes in slowly varying flows, Physics of Fluids, vol.11, issue.12, pp.3688-3703, 1999.
DOI : 10.1063/1.870232

A. Couairon and J. M. Chomaz, Primary and secondary nonlinear global instability, Physica D: Nonlinear Phenomena, vol.132, issue.4, pp.428-456, 1999.
DOI : 10.1016/S0167-2789(99)00062-7

A. Couairon and J. M. Chomaz, Pushed global modes in weakly inhomogeneous subcritical flows, Physica D: Nonlinear Phenomena, vol.158, issue.1-4, pp.129-150, 2001.
DOI : 10.1016/S0167-2789(01)00326-8

URL : https://hal.archives-ouvertes.fr/hal-01025907

E. Crespo-del-arco, P. Maubert, A. Randriamampianina, and P. Bontoux, Spatio-temporal behaviour in a rotating annulus with a source-sink flow, J. Fluid Mech, vol.32, pp.1-27, 1996.

E. Crespo-del-arco, E. Serre, P. Bontoux, and B. E. Launder, Stability, transition and turbulence in rotating cavities, Advances in Fluid Mechanics, 2005.
DOI : 10.2495/1-85312-785-X/05

URL : https://hal.archives-ouvertes.fr/hal-00833957

C. Davies and P. W. Carpenter, Global behaviour corresponding to the absolute instability of the rotating-disc boundary layer, Journal of Fluid Mechanics, vol.486, pp.287-329, 2003.
DOI : 10.1017/S0022112003004701

C. Davies, C. Thomas, and P. W. Carpenter, Global stability of the rotating-disk boundary layer, Journal of Engineering Mathematics, vol.50, issue.9, pp.219-236, 2007.
DOI : 10.1007/s10665-006-9112-8

Y. Delbende, J. M. Chomaz, and P. Huerre, Absolute/convective instabilities in the Batchelor vortex: a numerical study of the linear impulse response, Journal of Fluid Mechanics, vol.355, pp.229-254, 1998.
DOI : 10.1017/S0022112097007787

J. J. Healey, Enhancing the absolute instability of a boundary layer by adding a far-away plate, Journal of Fluid Mechanics, vol.579, pp.29-61, 2007.
DOI : 10.1017/S002211200700482X

R. Hide, On source-sink flows in a rotating fluid, Journal of Fluid Mechanics, vol.93, issue.04, pp.737-764, 1968.
DOI : 10.1063/1.1761994

P. Huerre, On the Absolute/Convective Nature of Primary and Secondary Instabilities, Propagation in Systems Far From Equilibrium, 1988.
DOI : 10.1007/978-3-642-73861-6_33

M. P. Juniper, The effect of confinement on the stability of two-dimensional shear flows, Th. 1921¨Uber1921¨ 1921¨Uber laminare und turbulente Reibung, pp.171-195, 2006.
DOI : 10.1017/S0022112006001558

W. Koch, On the spatio-temporal stability of primary and secondary crossflow vortices in a three-dimensional boundary layer, Journal of Fluid Mechanics, vol.456, pp.85-111, 2002.
DOI : 10.1017/S002211200100756X

R. J. Lingwood, Absolute instability of the boundary layer on a rotating disk, Journal of Fluid Mechanics, vol.159, issue.-1, pp.17-33, 1995.
DOI : 10.1146/annurev.fl.22.010190.002353

R. J. Lingwood, An experimental study of absolute instability of the rotating-disk boundary-layer flow, Journal of Fluid Mechanics, vol.4, issue.-1, pp.373-405, 1996.
DOI : 10.1146/annurev.fl.22.010190.002353

R. J. Lingwood, Absolute instability of the Ekman layer and related rotating flows, Journal of Fluid Mechanics, vol.331, pp.405-428, 1997.
DOI : 10.1017/S0022112096004144

L. M. Mack, The wave pattern produced by a point source on a rotating-disk flow, pp.85-0490, 1985.

H. Othman and T. C. Corke, Experimental investigation of absolute instability of a rotating-disk boundary layer, Journal of Fluid Mechanics, vol.565, pp.63-94, 2006.
DOI : 10.1017/S0022112006001546

B. Pier, Finite-amplitude crossflow vortices, secondary instability and transition in the rotating-disk boundary layer, Journal of Fluid Mechanics, vol.487, pp.315-343, 2003.
DOI : 10.1017/S0022112003004981

URL : https://hal.archives-ouvertes.fr/hal-00120026

B. Pier and P. Huerre, Nonlinear self-sustained structures and fronts in spatially developping wake flows, J. Fluid Mech, vol.435, pp.145-174, 2001.

B. Pier and P. Huerre, NONLINEAR SYNCHRONIZATION IN OPEN FLOWS, Journal of Fluids and Structures, vol.15, issue.3-4, pp.471-480, 2001.
DOI : 10.1006/jfls.2000.0349

URL : https://hal.archives-ouvertes.fr/hal-00119923

B. Pier, P. Huerre, J. M. Chomaz, and A. Couairon, Steep nonlinear global modes in spatially developing media, Physics of Fluids, vol.10, issue.10, pp.2433-2435, 1998.
DOI : 10.1063/1.869784

URL : https://hal.archives-ouvertes.fr/hal-00119908

I. Raspo, S. Hugues, E. Serre, A. Randriamampianina, and P. Bontoux, A spectral projection method for the simulation of complex three-dimensional rotating flows, Computers & Fluids, vol.31, issue.4-7, pp.745-767, 2002.
DOI : 10.1016/S0045-7930(01)00070-6

URL : https://hal.archives-ouvertes.fr/hal-00833836

M. R. Ruith, E. Chen, and E. Meiburg, Development of boundary conditions for direct numerical simulations of three-dimensional vortex breakdown phenomena in semi-infinite domains, Computers & Fluids, vol.33, issue.9, pp.1225-1250, 2004.
DOI : 10.1016/j.compfluid.2003.04.001

W. Van-saarloos, Front propagation into unstable states, Physics Reports, vol.386, issue.2-6, pp.29-222, 2003.
DOI : 10.1016/j.physrep.2003.08.001

E. Serre, E. Tuliszka-sznitko, and P. Bontoux, Coupled numerical and theoretical study of the flow transition between a rotating and a stationary disk, Physics of Fluids, vol.16, issue.3, pp.688-706, 2004.
DOI : 10.1063/1.1644144

URL : https://hal.archives-ouvertes.fr/hal-01023275

S. M. Tobias, M. R. Proctor, and E. Knobloch, The role of absolute instability in the solar dynamo, Astron. Astrophys, vol.318, pp.55-58, 1997.

S. M. Tobias, M. R. Proctor, and E. Knobloch, Convective and absolute instabilities of fluid flows in finite geometry, Physica D: Nonlinear Phenomena, vol.113, issue.1, pp.43-72, 1998.
DOI : 10.1016/S0167-2789(97)00141-3

M. Turkyilmazoglu and J. S. Gajjar, Direct spatial resonnance in the laminar boundary layer due to a rotating disk, Sadhana ? Acad. Proc. 25, pp.601-617, 2000.