G. K. Batchelor and A. Gill, Analysis of the stability of axisymmetric jets, Journal of Fluid Mechanics, vol.21, issue.04, pp.529-551, 1964.
DOI : 10.1017/S0022112062001421

T. B. Benjamin, Theory of the vortex breakdown phenomenon, Journal of Fluid Mechanics, vol.48, issue.04, pp.593-629, 1962.
DOI : 10.1017/S0022112062001482

A. Bers, Space-time evolution of plasma instabilities-absolute and convective, Handbook of Plasma Physics (ed. M. Rosenbluth & R. Sagdeev), pp.451-517, 1983.

P. Billant, J. Chomaz, and P. Huerre, Experimental study of vortex breakdown in swirling jets, Journal of Fluid Mechanics, vol.376, pp.183-219, 1998.
DOI : 10.1017/S0022112098002870

P. Brancher and J. 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

P. Brancher, J. Chomaz, and P. Huerre, Direct numerical simulations of round jets: Vortex induction and side jets, Physics of Fluids, vol.6, issue.5, pp.1768-1774, 1994.
DOI : 10.1063/1.868238

G. Carnevale and R. Kloosterziel, Emergence and evolution of triangular vortices, Journal of Fluid Mechanics, vol.23, issue.-1, pp.305-331, 1994.
DOI : 10.1007/BF00949042

X. Carton and J. &m-c-w-i-lliams, Barotropic and baroclinic instabilties of axisymmetric vortices in a quasi-geostrophic model, Mesoscale/Synoptic Coherent Structures in Geophysical Turbulence, pp.225-244, 1989.

J. Chomaz, Absolute and convective instabilities in nonlinear systems, Physical Review Letters, vol.69, issue.13, pp.1931-1934, 1992.
DOI : 10.1103/PhysRevLett.69.1931

A. Couairon and J. Chomaz, Absolute and convective instabilities, front velocities and global modes in nonlinear systems, Physica D: Nonlinear Phenomena, vol.108, issue.3, pp.236-276, 1997.
DOI : 10.1016/S0167-2789(97)00045-6

A. Couairon and J. 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

I. Delbende, J. 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. Delery, Aspects of vortex breakdown, Progress in Aerospace Sciences, vol.30, issue.1, pp.1-59, 1994.
DOI : 10.1016/0376-0421(94)90002-7

P. Duck, The inviscid stability of a trailing line vortex, Zeitschrift f??r angewandte Mathematik und Physik ZAMP, vol.31, issue.4, pp.524-532
DOI : 10.1007/BF01590863

K. Emanuel, A note on the stability of columnar vortices, Journal of Fluid Mechanics, vol.126, issue.-1, pp.235-238
DOI : 10.1175/1520-0469(1979)036 2.0.CO;2

M. Escudier, J. Bornstein, and T. Maxworthy, The Dynamics of Confined Vortices, Proc. R. Soc. Lond. A 382, pp.335-360, 1982.
DOI : 10.1098/rspa.1982.0105

M. Escudier, J. Bornstein, and N. Zehnder, Observations and LDA measurements of confined turbulent vortex flow, Journal of Fluid Mechanics, vol.26, issue.01, pp.49-63, 1980.
DOI : 10.1063/1.862033

F. Gallaire and J. Chomaz, Three-dimensional instability of isolated vortices, Physics of Fluids, vol.15, issue.8, pp.2113-2126, 2003.
DOI : 10.1063/1.1580481
URL : https://hal.archives-ouvertes.fr/hal-01024926

A. Garg and S. &l-eibo-v-ic-h, Spectral characteristics of vortex breakdown flowfields, Physics of Fluids, vol.22, issue.11, pp.2053-2064, 1979.
DOI : 10.1063/1.862514

P. Gent and J. Mcwi-lliams, The instability of barotropic circular vortices, Geophysical & Astrophysical Fluid Dynamics, vol.36, issue.1-4, pp.209-233, 1986.
DOI : 10.1098/rspa.1933.0193

L. Howard and A. Gupta, On the hydrodynamic and hydromagnetic stability of swirling flows, Journal of Fluid Mechanics, vol.4, issue.03, pp.463-476
DOI : 10.1017/S0022112062001366

P. Huerre, Open shear flow instabilities, Perpectives in Fluid Dynamics, pp.159-229, 2000.

P. Huerre and M. Rossi, Hydrodynamic instabilities in open flows, pp.81-294, 1998.
DOI : 10.1017/CBO9780511524608.004

M. R. Khorrami, On the viscous modes of instability of a trailing line vortex, Journal of Fluid Mechanics, vol.178, issue.-1, pp.197-212, 1991.
DOI : 10.1175/1520-0469(1984)041 2.0.CO;2

S. Leibovich, Vortex stability and breakdown: survey and extension, AIAA J, vol.22, pp.1192-1206, 1984.

S. Leibovich and K. Stewartson, A sufficient condition for the instability of columnar vortices, Journal of Fluid Mechanics, vol.59, issue.-1, pp.335-356
DOI : 10.1017/S0022112068000340

M. Lessen and F. Paillet, The stability of a trailing line vortex. Part 2. Viscous theory, Journal of Fluid Mechanics, vol.60, issue.04, pp.769-779, 1974.
DOI : 10.1063/1.1694496

M. Lessen and P. J. Singh, The stability of axisymmetric free shear layers, Journal of Fluid Mechanics, vol.14, issue.03, pp.433-457, 1974.
DOI : 10.1143/JPSJ.26.566

M. Lessen, P. J. Singh, and F. Llet, The stability of a trailing line vortex. Part 1. Inviscid theory, Journal of Fluid Mechanics, vol.182, issue.04, pp.753-763, 1974.
DOI : 10.1017/S0022112074002175

H. Liang, An experimental investigation of swirling jets, Journal of Fluid Mechanics, vol.525, 2003.
DOI : 10.1017/S0022112004002629

D. Lim and L. Redekopp, Absolute instability conditions for variable density, swirling jet flows, European Journal of Mechanics - B/Fluids, vol.17, issue.2, p.165, 1998.
DOI : 10.1016/S0997-7546(98)80057-5

T. Loiseleux and J. Chomaz, Breaking of rotational symmetry in a swirling jet experiment, Physics of Fluids, vol.15, issue.2, pp.511-523, 2003.
DOI : 10.1063/1.1533068
URL : https://hal.archives-ouvertes.fr/hal-01024930

T. Loiseleux, J. Chomaz, and P. Huerre, The effect of swirl on jets and wakes: Linear instability of the Rankine vortex with axial flow, Physics of Fluids, vol.10, issue.5, p.1134, 1120.
DOI : 10.1063/1.869637

H. Ludwieg, Stabilität der Strömung in einem zylindrischen Ringraum, Ergänzung zu der Arbeit, pp.359-361, 1961.

E. Mayer and K. Powell, Viscous and inviscid instabilities of a trailing vortex, Journal of Fluid Mechanics, vol.255, issue.-1, pp.91-114, 1992.
DOI : 10.1007/BF01590863

A. Michalke, Survey on jet instability theory, Progress in Aerospace Sciences, vol.21, pp.159-199
DOI : 10.1016/0376-0421(84)90005-8

P. Monkewitz, A note on vortex shedding from axisymmetric bluff bodies, Journal of Fluid Mechanics, vol.9, issue.-1, pp.561-575, 1988.
DOI : 10.1017/S0022112076002231

P. Monkewitz and K. Sohn, Absolute instability in hot jets, AIAA Journal, vol.26, issue.8, pp.911-916, 1988.
DOI : 10.2514/3.9990

C. Olendraru and A. Sellier, Viscous effects in the absolute???convective instability of the Batchelor vortex, Journal of Fluid Mechanics, vol.459, pp.371-396, 2002.
DOI : 10.1017/S0022112002008029
URL : https://hal.archives-ouvertes.fr/hal-01024918

C. Olendraru, A. Sellier, and P. Huerre, Inviscid instability of the Batchelor vortex: Absolute-convective transition and spatial branches, Physics of Fluids, vol.11, issue.7, pp.1805-1820, 1999.
DOI : 10.1063/1.870045

P. Orlandi and G. Carnevale, Evolution of isolated vortices in a rotating fluid of finite depth, Journal of Fluid Mechanics, vol.381, pp.239-269, 1999.
DOI : 10.1017/S0022112098003693

B. Pier and P. Huerre, Nonlinear self-sustained structures and fronts in spatially developing wake flows, Journal of Fluid Mechanics, vol.435, pp.145-174, 2001.
DOI : 10.1017/S0022112001003652
URL : https://hal.archives-ouvertes.fr/hal-00119721

. Rayleigh, Lord 1916 On the dynamics of revolving fluids, Proc. R. Soc. Lond. A 93, pp.148-154

M. Ruith and E. Meiburg, Direct numerical simulation of spatially developing, threedimensional swirling jets, J. Turbulence, vol.3, issue.065, 2002.

T. Sarpkaya, On stationary and travelling vortex breakdowns, Journal of Fluid Mechanics, vol.34, issue.03, pp.545-559, 1971.
DOI : 10.1017/S0022112071000181

R. E. Spall, T. B. Gatski, and C. Grosch, A criterion for vortex breakdown, Physics of Fluids, vol.30, issue.11, pp.3434-3440, 1987.
DOI : 10.1063/1.866475

K. Stewarts-on and S. Leibovich, On the stability of a columnar vortex to disturbances with large azimuthal wavenumber: the lower neutral points, Journal of Fluid Mechanics, vol.22, issue.-1, pp.549-566, 1987.
DOI : 10.1017/S0022112062001366

J. L. Syng-e, The stability of heterogeneous liquids, Trans. R. Soc. Can, vol.27, pp.1-18, 1933.

X. Yin, D. Sun, M. Wei, and J. &w-u, Absolute and convective instability character of slender viscous vortices, Physics of Fluids, vol.12, issue.5, pp.1062-1072, 2000.
DOI : 10.1063/1.870361