Axial flow in trailing line vortices, Journal of Fluid Mechanics, vol.8, issue.04, pp.645-658, 1964. ,
DOI : 10.1017/S0022112064001446
Analysis of the stability of axisymmetric jets, Journal of Fluid Mechanics, vol.21, issue.04, pp.529-551, 1962. ,
DOI : 10.1017/S0022112062001421
Space?time evolution of plasma instabilities ? absolute and convective, Handbook of Plasma Physics, pp.451-517, 1983. ,
Electron-Stream Interaction with Plasmas, 1964. ,
Linear stability of rotating Hagen-Poiseuille flow, Journal of Fluid Mechanics, vol.16, issue.-1, pp.101-125, 1981. ,
DOI : 10.1017/S0022112074002412
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
Aspects of vortex breakdown, Progress in Aerospace Sciences, vol.30, issue.1, pp.1-59, 1990. ,
DOI : 10.1016/0376-0421(94)90002-7
The inviscid stability of a trailing line vortex, Zeitschrift f??r angewandte Mathematik und Physik ZAMP, vol.31, issue.4, pp.523-530, 1980. ,
DOI : 10.1007/BF01590863
A note on the effects of viscosity on the stability of a trailing-line vortex, Journal of Fluid Mechanics, vol.3, issue.-1, pp.175-189 ,
DOI : 10.1017/S0022112085002142
Disrupted states of vortex flow and vortex breakdown, Disrupted states of vortex flow and vortex breakdown, pp.1385-1400, 1977. ,
DOI : 10.1063/1.862033
&L e i b o v i c h ,S .1979 Spectral characteristics of vortex breakdown flowfields, Phys. Fluids A, vol.22, pp.2053-2064 ,
Open shear flow instabilities, Perspectives in Fluid Dynamics, pp.159-229, 2000. ,
Absolute and convective instabilities in free shear layers, Journal of Fluid Mechanics, vol.19, issue.-1, pp.151-168, 1985. ,
DOI : 10.1017/S0022112064000908
Local and Global Instabilities in Spatially Developing Flows, Annual Review of Fluid Mechanics, vol.22, issue.1, pp.473-537 ,
DOI : 10.1146/annurev.fl.22.010190.002353
Hydrodynamic instabilities in open flows, pp.81-294, 1998. ,
DOI : 10.1017/CBO9780511524608.004
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
Behavior of asymmetric unstable modes of a trailing line vortex near the upper neutral curve, Physics of Fluids A: Fluid Dynamics, vol.4, issue.6, pp.1310-1313, 1992. ,
DOI : 10.1063/1.858250
Application of spectral collocation techniques to the stability of swirling flows, Journal of Computational Physics, vol.81, issue.1, pp.206-229, 1989. ,
DOI : 10.1016/0021-9991(89)90071-5
The Structure of Vortex Breakdown, Annual Review of Fluid Mechanics, vol.10, issue.1, pp.221-246, 1978. ,
DOI : 10.1146/annurev.fl.10.010178.001253
Vortex stability and breakdown: survey and extension, AIAA J, vol.22, pp.1192-1206, 1983. ,
A sufficient condition for the instability of columnar vortices, Journal of Fluid Mechanics, vol.59, issue.-1, pp.335-356 ,
DOI : 10.1017/S0022112068000340
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
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
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
The effect of swirl on jets and wakes: Linear instability of the Rankine vortex with axial flow, Physics of Fluids, vol.10, issue.5, pp.1120-1134, 1998. ,
DOI : 10.1063/1.869637
Absolute and convective instabilities of a swirling jet/wake shear layer, Physics of Fluids, vol.12, issue.2, pp.375-380, 2000. ,
DOI : 10.1063/1.870315
URL : https://hal.archives-ouvertes.fr/hal-01025355
A spectral collocation method for the Navier-Stokes equations, Journal of Computational Physics, vol.61, issue.1, pp.64-88 ,
DOI : 10.1016/0021-9991(85)90061-0
Viscous and inviscid instabilities of a trailing vortex, Journal of Fluid Mechanics, vol.255, issue.-1, pp.91-114, 1992. ,
DOI : 10.1007/BF01590863
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
Absolute?convective instability of the Batchelor vortex, C. R. Acad. Sci. Paris Sér. II b, vol.323, pp.153-159, 1996. ,
URL : https://hal.archives-ouvertes.fr/hal-01024918
The evolution of a perturbed vortex in a pipe to axisymmetric vortex breakdown, Journal of Fluid Mechanics, vol.366, pp.211-237, 1998. ,
DOI : 10.1017/S0022112098001396
Near-neutral centre-modes as inviscid perturbations to a trailing line vortex, Journal of Fluid Mechanics, vol.31, issue.-1, pp.387-399, 1985. ,
DOI : 10.1017/S0022112062001366
On the stability of ring modes in a trailing line vortex: the upper neutral points, Journal of Fluid Mechanics, vol.126, issue.-1, pp.369-386, 1985. ,
DOI : 10.1017/S0022112064001446
Examination of group-velocity criterion for breakdown of vortex flow in a divergent duct, Physics of Fluids, vol.23, issue.5, pp.864-870, 1980. ,
DOI : 10.1063/1.863095
On the stability of an axisymmetric rotating flow in a pipe, Physics of Fluids, vol.8, issue.4, pp.1007-1016, 1996. ,
DOI : 10.1063/1.868882
The dynamics of a swirling flow in a pipe and transition to axisymmetric vortex breakdown, Journal of Fluid Mechanics, vol.340, pp.177-223, 1997. ,
DOI : 10.1017/S0022112097005272