A. Antkowiak and P. Brancher, On vortex rings around vortices: an optimal mechanism, Journal of Fluid Mechanics, vol.578, pp.295-304, 2007.
DOI : 10.1017/S0022112007005198
URL : https://hal.archives-ouvertes.fr/hal-00128094

G. K. Batchelor, An Introduction to Fluid Dynamics, 1967.
DOI : 10.1017/CBO9780511800955

P. Billant and J. Chomaz, Experimental evidence for a new instability of a vertical columnar vortex pair in a strongly stratified fluid, Journal of Fluid Mechanics, vol.418, pp.167-188, 2000.
DOI : 10.1017/S0022112000001154
URL : https://hal.archives-ouvertes.fr/hal-01025360

P. Billant and J. Chomaz, Theoretical analysis of the zigzag instability of a vertical columnar vortex pair in a strongly stratified fluid, Journal of Fluid Mechanics, vol.419, pp.29-63, 2000.
DOI : 10.1017/S0022112000001166
URL : https://hal.archives-ouvertes.fr/hal-01025369

P. Billant and J. Chomaz, Self-similarity of strongly stratified inviscid flows, Physics of Fluids, vol.13, issue.6, pp.1645-1651, 2001.
DOI : 10.1063/1.1369125
URL : https://hal.archives-ouvertes.fr/hal-01025349

P. Billant, A. Deloncle, J. M. Chomaz, and P. Otheguy, 2010 Zigzag instability of vortex pairs in stratified and rotating fluid. Part 2. Analytical and numerical analyses, J. Fluid Mech, pp.10-1017

P. Billant, D. G. Dritschel, and J. Chomaz, Bending and twisting instabilities of columnar elliptical vortices in a rotating strongly stratified fluid, Journal of Fluid Mechanics, vol.561, pp.73-102, 2006.
DOI : 10.1017/S0022112006000516
URL : https://hal.archives-ouvertes.fr/hal-01023351

N. Boulanger, P. Meunier, and S. Le-dizès, Structure of a stratified tilted vortex, Journal of Fluid Mechanics, vol.583, pp.443-458, 2007.
DOI : 10.1017/S0022112007006416
URL : https://hal.archives-ouvertes.fr/hal-00090172

R. L. Bristol, J. M. Ortega, P. S. Marcus, and O. Savas, On cooperative instabilities of parallel vortex pairs, Journal of Fluid Mechanics, vol.517, pp.331-358, 2004.
DOI : 10.1017/S0022112004001016

S. C. Crow, Stability theory for a pair of trailing vortices, AIAA Journal, vol.8, issue.12, pp.2172-2179, 1970.
DOI : 10.2514/3.6083

A. Deloncle, P. Billant, and J. Chomaz, Nonlinear evolution of the zigzag instability in stratified fluids: a shortcut on the route to dissipation, Journal of Fluid Mechanics, vol.15, pp.229-239, 2008.
DOI : 10.1017/S0022112061000317
URL : https://hal.archives-ouvertes.fr/hal-01022803

P. G. Drazin, W. H. Reid, D. G. Dritschel, and M. De-la-torre-jú-arez, Hydrodynamic Stability The instability and breakdown of tall columnar vortices in a quasi-geostrophic fluid, J. Fluid Mech, vol.328, pp.129-160, 1981.

D. G. Dritschel, M. De-la-torre-jú-arez, and M. H. Ambaum, The three-dimensional vortical nature of atmospheric and oceanic turbulent flows, Physics of Fluids, vol.11, issue.6, pp.1512-1520, 1999.
DOI : 10.1063/1.870014

A. Gil, J. Segura, and N. M. Temme, Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions, ACM Transactions on Mathematical Software, vol.28, issue.4, pp.436-447, 2002.
DOI : 10.1145/592843.592847

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

J. Jimenez, Stability of a pair of co-rotating vortices, Physics of Fluids, vol.18, issue.11, pp.1580-1582, 1975.
DOI : 10.1063/1.861056

L. Dizès and S. , Viscous Critical-Layer Analysis of Vortex Normal Modes, Studies in Applied Mathematics, vol.51, issue.4, pp.315-332, 2004.
DOI : 10.1017/S0022112002002185

L. Dizès and S. , Inviscid waves on a Lamb?Oseen vortex in a rotating stratified fluid: consequences on the elliptic instability, J. Fluid Mech, vol.597, pp.283-303, 2008.

L. Dizès, S. Laporte, and F. , Theoretical predictions for the elliptical instability in a two-vortex flow, J. Fluid Mech, vol.471, pp.169-201, 2002.

S. Leibovich, S. N. Brown, and Y. Patel, Bending waves on inviscid columnar vortices, Journal of Fluid Mechanics, vol.10, issue.-1, pp.595-624, 1986.
DOI : 10.1017/S0022112070001611

C. C. Lin, The Theory of Hydrodynamics Stability, 1955.

D. M. Mason and R. R. Kerswell, Nonlinear evolution of the elliptical instability: an example of inertial wave breakdown, Journal of Fluid Mechanics, vol.396, pp.73-108, 1999.
DOI : 10.1017/S0022112099005959

P. Meunier and T. Leweke, Elliptic instability of a co-rotating vortex pair, Journal of Fluid Mechanics, vol.533, pp.125-159, 2005.
DOI : 10.1017/S0022112005004325
URL : https://hal.archives-ouvertes.fr/hal-00326257

T. Miyazaki, M. Shimada, and N. Takahashi, Quasigeostrophic Wire-Vortex Model, Journal of the Physical Society of Japan, vol.69, issue.10, pp.3233-3243, 2000.
DOI : 10.1143/JPSJ.69.3233

D. W. Moore and P. G. Saffman, The Motion of a Vortex Filament with Axial Flow, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.272, issue.1226, pp.403-429, 1226.
DOI : 10.1098/rsta.1972.0055

D. W. Moore and P. G. Saffman, The Instability of a Straight Vortex Filament in a Strain Field, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.346, issue.1646, pp.413-425, 1975.
DOI : 10.1098/rspa.1975.0183

P. Otheguy, P. Billant, and J. M. Chomaz, The effect of planetary rotation on the zigzag instability of co-rotating vortices in a stratified fluid, Journal of Fluid Mechanics, vol.553, issue.-1, pp.273-281, 2006.
DOI : 10.1017/S0022112005008050
URL : https://hal.archives-ouvertes.fr/hal-00021348

P. Otheguy, P. Billant, and J. M. Chomaz, Theoretical analysis of the zigzag instability of a vertical co-rotating vortex pair in a strongly stratified fluid, Journal of Fluid Mechanics, vol.346, pp.103-123, 2007.
DOI : 10.1017/S0022112005008128
URL : https://hal.archives-ouvertes.fr/hal-01023342

P. Otheguy, J. M. Chomaz, and P. Billant, Elliptic and zigzag instabilities on co-rotating vertical vortices in a stratified fluid, Journal of Fluid Mechanics, vol.553, issue.-1, pp.253-272, 2006.
DOI : 10.1017/S0022112006008901
URL : https://hal.archives-ouvertes.fr/hal-01023354

J. J. Riley and M. Lelong, Fluid Motions in the Presence of Strong Stable Stratification, Annual Review of Fluid Mechanics, vol.32, issue.1, pp.617-657, 2000.
DOI : 10.1146/annurev.fluid.32.1.613

M. Rossi, Of Vortices and Vortical Layers: An Overview, Vortex Structure and Dynamics, pp.40-123, 2000.
DOI : 10.1007/3-540-44535-8_3

D. Sipp, Weakly nonlinear saturation of short-wave instabilities in a strained Lamb???Oseen vortex, Physics of Fluids, vol.12, issue.7, pp.1715-1729, 2000.
DOI : 10.1063/1.870422

D. Sipp and L. Jacquin, Widnall instabilities in vortex pairs, Widnall instabilities in vortex pairs, pp.1861-1874, 2003.
DOI : 10.1063/1.1575752

M. L. Waite and P. K. Smolarkiewicz, Instability and breakdown of a vertical vortex pair in a strongly stratified fluid, Journal of Fluid Mechanics, vol.13, pp.239-273, 2008.
DOI : 10.1063/1.1575752

F. Waleffe, On the three???dimensional instability of strained vortices, Physics of Fluids A: Fluid Dynamics, vol.2, issue.1, pp.76-80, 1990.
DOI : 10.1063/1.857682

S. E. Widnall, D. Bliss, and A. Zalay, Theo retical and experimental study of the stability of a vortex pair, pp.305-329, 1971.