M. P. Pa?¨doussispa?¨doussis, The canonical problem of the fluid-conveying pipe and radiation of the knowledge gained to other dynamics problems across applied mechanics, Journal of Sound and Vibration, pp.310-462, 2008.

A. Bers, Space?time evolution of plasma instabilities-absolute and convective, Handbook of Plasmas Physics, pp.451-517, 1983.
DOI : 10.1093/acprof:oso/9780199295784.003.0018

P. Huerre and M. Rossi, Hydrodynamic instabilities in open flows, Hydrodynamics and Nonlinear Instabilities, 1998.
DOI : 10.1017/cbo9780511524608.004

P. W. Carpenter and A. D. Garrad, The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. Flow-induced surface instabilities, Journal of Fluid Mechanics, vol.72, issue.-1, pp.199-232, 1986.
DOI : 10.1111/j.1559-3584.1960.tb02356.x

A. G. Kulikovskii and I. S. Shikina, On the bending oscillation of a long tube filled with moving fluid, Izvestia Akademii Nauk Arminsko?¨SSRArminsko?¨Arminsko?¨SSR, vol.41, issue.1, pp.31-39, 1988.

E. De-langre and A. E. Ouvrard, ABSOLUTE AND CONVECTIVE BENDING INSTABILITIES IN FLUID-CONVEYING PIPES, Journal of Fluids and Structures, vol.13, issue.6, pp.663-680, 1999.
DOI : 10.1006/jfls.1999.0230

O. Doar-e and E. De-langre, The role of boundary conditions in the instability of one-dimensional systems, European Journal of Mechanics - B/Fluids, vol.25, issue.6, pp.948-959, 2006.
DOI : 10.1016/j.euromechflu.2006.01.001

O. Doar-e and E. De-langre, LOCAL AND GLOBAL INSTABILITY OF FLUID-CONVEYING PIPES ON ELASTIC FOUNDATIONS, Journal of Fluids and Structures, vol.16, issue.1, pp.1-14, 2002.
DOI : 10.1006/jfls.2001.0405

F. Gallaire and J. M. Chomaz, The role of boundary conditions in a simple model of incipient vortex breakdown, Physics of Fluids, vol.58, issue.2, pp.274-286, 2004.
DOI : 10.1017/S0022112073002296

URL : https://hal.archives-ouvertes.fr/hal-01024945

N. Peake, On the unsteady motion of a long fluid-loaded elastic plate with mean flow, Journal of Fluid Mechanics, vol.507, pp.335-366, 2004.
DOI : 10.1017/S0022112004008808

D. J. Acheson, On over-reflexion, Journal of Fluid Mechanics, vol.77, issue.03, pp.433-472, 1976.
DOI : 10.1002/sapm19725111

J. Andries and M. Goosens, The influence of resonant MHD wave coupling in the boundary layer on the reflection and transmission process, Astronomy & Astrophysics, vol.96, issue.13, pp.1100-1110, 2001.
DOI : 10.1017/S0022377899008223

T. B. Benjamin, The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows, Journal of Fluid Mechanics, vol.72, issue.03, pp.436-450, 1963.
DOI : 10.1090/psapm/013/0139321

N. Peake, Nonlinear stability of a fluid-loaded elastic plate with mean flow, Journal of Fluid Mechanics, vol.434, pp.101-118, 2001.
DOI : 10.1017/S0022112001003573

I. Lottati and A. Kornecki, The effect of an elastic foundation and of dissipative forces on the stability of fluid-conveying pipes, Journal of Sound and Vibration, vol.109, issue.2, pp.327-338, 1986.
DOI : 10.1016/S0022-460X(86)80012-8

V. M. Vassilev and P. A. Djondjorov, Dynamic stability of viscoelastic pipes on elastic foundations of variable modulus, Journal of Sound and Vibration, vol.297, issue.1-2, pp.1-2, 2006.
DOI : 10.1016/j.jsv.2006.03.025

F. J. Bourri-eres, Sur un ph enom ene d'oscillation auto-entretenue en m ecanique des fluides r eels (On a phenomenon of self-sustained oscillations in the mechanics of real fluids, Publications Scientifiques et Techniques du Minist ere de l'Air, 1939.

W. Roth, Instabilit???t durchstr???mter Rohre, Ingenieur-Archiv, vol.33, issue.4, pp.236-263, 1964.
DOI : 10.1007/BF00531572

R. A. Cairns, The role of negative energy waves in some instabilities of parallel flows, Journal of Fluid Mechanics, vol.34, issue.01, pp.1-14, 1979.
DOI : 10.1016/0003-4916(69)90178-X

R. W. Gregory and M. P. Pa?¨doussispa?¨doussis, Unstable Oscillation of Tubular Cantilevers Conveying Fluid. I. Theory, Proceedings of the Royal Society of, pp.512-527, 1966.
DOI : 10.1098/rspa.1966.0187

C. Eloy, C. Souilliez, and L. Schouveiler, Flutter of a rectangular plate, Journal of Fluids and Structures, vol.23, issue.6, pp.904-919, 2007.
DOI : 10.1016/j.jfluidstructs.2007.02.002

URL : https://hal.archives-ouvertes.fr/hal-00140325

R. M. Howell, A. D. Lucey, P. W. Carpenter, and M. W. Pitman, Interaction between a cantilevered-free flexible plate and ideal flow, Journal of Fluids and Structures, vol.25, issue.3, pp.544-566, 2009.
DOI : 10.1016/j.jfluidstructs.2008.12.004

O. Doar-e and E. De-langre, The flow-induced instability of long hanging pipes, European Journal of Mechanics - A/Solids, vol.21, issue.5, pp.857-867, 2002.
DOI : 10.1016/S0997-7538(02)01221-4