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, Three-dimensional stability of a vertical columnar vortex pair in a stratified fluid, Journal of Fluid Mechanics, vol.419, pp.65-91, 2000.
DOI : 10.1017/S0022112000001178

URL : https://hal.archives-ouvertes.fr/hal-01025370

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

C. Cerretelli and C. H. Williamson, The physical mechanism for vortex merging, Journal of Fluid Mechanics, vol.475, pp.41-77, 2003.
DOI : 10.1017/S0022112002002847

J. Y. Cho, R. F. Jurgens, and M. A. Slade, High-resolution stratospheric dynamics measurements with the NASA/JPL Goldstone Solar System Radar, Geophysical Research Letters, vol.15, issue.12, 1909.
DOI : 10.1029/96GL01570

J. Y. Cho and E. Lindborg, Horizontal velocity structure functions in the upper troposphere and lower stratosphere: 1. Observations, Journal of Geophysical Research: Atmospheres, vol.25, issue.D10, pp.223-233, 2001.
DOI : 10.1029/2000JD900814

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

F. Dalaudier, C. Sidi, M. Crochet, and J. Vernin, Direct Evidence of ???Sheets??? in the Atmospheric Temperature Field, Journal of the Atmospheric Sciences, vol.51, issue.2, pp.237-248, 1994.
DOI : 10.1175/1520-0469(1994)051<0237:DEOITA>2.0.CO;2

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. P. Dugan, Towed observation of internal gravity waves and patches of finescale turbulence, in internal gravity waves and small scale turbulence, Proc. Aha Huliko's Hawaiian winter workshop (ed. P. Muller & R. Pujalet), pp.51-64, 1984.

W. S. Edwards, L. S. Tuckerman, R. A. Friesner, and D. C. Sorensen, Krylov Methods for the Incompressible Navier-Stokes Equations, Krylov methods for the incompressible Navier?Stokes equations, pp.82-102, 1994.
DOI : 10.1006/jcph.1994.1007

C. Eloy and S. Le-dizès, Three-dimensional instability of Burgers and Lamb???Oseen vortices in a strain field, Journal of Fluid Mechanics, vol.378, pp.145-166, 1999.
DOI : 10.1017/S0022112098003103

URL : https://hal.archives-ouvertes.fr/hal-00021309

A. M. Fincham, T. Maxworthy, and G. R. Spedding, Energy dissipation and vortex structure in freely decaying, stratified grid turbulence, Dynamics of Atmospheres and Oceans, vol.23, issue.1-4, pp.155-169, 1996.
DOI : 10.1016/0377-0265(95)00415-7

F. S. Godeferd and C. Staquet, Statistical modelling and direct numerical simulations of decaying stably stratified turbulence. Part 2. Large-scale and small-scale anisotropy, Journal of Fluid Mechanics, vol.486, pp.115-159, 2003.
DOI : 10.1017/S0022112003004531

URL : https://hal.archives-ouvertes.fr/hal-00264628

M. C. Gregg, Diapycnal mixing in the thermocline: A review, Journal of Geophysical Research, vol.35, issue.C5, pp.5249-5286, 1987.
DOI : 10.1029/JC092iC05p05249

J. R. Herring and O. Métais, Numerical experiments in forced stably stratified turbulence, Journal of Fluid Mechanics, vol.9, issue.-1, pp.97-115, 1989.
DOI : 10.1063/1.866030

J. M. Holford and P. F. Linden, Turbulent mixing in a stratified fluid, Turbulent mixing in a stratified fluid, pp.173-198, 1999.
DOI : 10.1016/S0377-0265(99)00025-1

I. M-b-e-r-g-e-r, J. &i-v-e-y, and G. N. , On the nature of turbulence in stratified fluid, II, applications to lakes, J. Phys. Ocean, vol.21, pp.659-680, 1991.

S. Julien, S. Ortiz, and J. Chomaz, Secondary instability mechanisms in the wake of a flat plate, European Journal of Mechanics - B/Fluids, vol.23, issue.1, pp.157-165, 2004.
DOI : 10.1016/j.euromechflu.2003.07.001

URL : https://hal.archives-ouvertes.fr/hal-01025823

L. Dizè-s, S. &l-a-c-a-z-e, and L. , An asymptotic description of vortex Kelvin modes, Journal of Fluid Mechanics, vol.542, issue.-1, pp.69-96, 2005.
DOI : 10.1017/S0022112005005185

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.

L. Dizès, S. Verga, and A. , Viscous interaction of two co-rotating vortices before merging, J. Fluid Mech, vol.467, pp.389-410, 2002.

S. Leblanc, Internal wave resonances in strain flows, Journal of Fluid Mechanics, vol.477, pp.259-283, 2003.
DOI : 10.1017/S0022112002003221

D. K. Lilly, Stratified Turbulence and the Mesoscale Variability of the Atmosphere, Journal of the Atmospheric Sciences, vol.40, issue.3, pp.749-761, 1983.
DOI : 10.1175/1520-0469(1983)040<0749:STATMV>2.0.CO;2

E. Lindborg, Strongly stratified turbulence: A special type of motion, Advances in Turbulence IX, Proceedings of the Ninth European Turbulence Conference, 2002.

E. Lindborg, The energy cascade in a strongly stratified fluid, Journal of Fluid Mechanics, vol.550, issue.-1, pp.207-242, 2006.
DOI : 10.1017/S0022112005008128

H. Luce, M. Crochet, and F. Dalaudier, Temperature sheets and aspect sensitive radar echoes, Annales Geophysicae, vol.19, issue.8, pp.899-920, 2001.
DOI : 10.5194/angeo-19-899-2001

URL : https://hal.archives-ouvertes.fr/hal-00329180

M. V. Melander, N. J. Zabusky, and J. C. Mcwilliams, Symmetric vortex merger in two dimensions: causes and conditions, Journal of Fluid Mechanics, vol.178, issue.-1, pp.303-340, 1988.
DOI : 10.1017/S0022112084001750

P. Meunier, U. Ehrenstein, T. Leweke, and M. Rossi, A merging criterion for two-dimensional co-rotating vortices, Physics of Fluids, vol.14, issue.8, pp.2757-2766, 2002.
DOI : 10.1063/1.1489683

URL : https://hal.archives-ouvertes.fr/hal-00081683

P. Meunier and T. Leweke, Three-dimensional instability during vortex merging, Physics of Fluids, vol.13, issue.10, pp.2747-2750, 2001.
DOI : 10.1063/1.1399033

URL : https://hal.archives-ouvertes.fr/hal-00081686

T. Miyazaki, Elliptical instability in a stably stratified rotating fluid, Physics of Fluids A: Fluid Dynamics, vol.5, issue.11, pp.2702-2709, 1993.
DOI : 10.1063/1.858733

T. Miyazaki and Y. Fukumoto, Three???dimensional instability of strained vortices in a stably stratified fluid, Physics of Fluids A: Fluid Dynamics, vol.4, issue.11, pp.2515-2522, 1992.
DOI : 10.1063/1.858438

D. W. Moore and P. 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

I. , A. &w-o-d-e, and C. , First in situ evidence for coexisting submeter temperature and humidity sheets in the lower free troposphere, J. Atmos. Sci, vol.55, pp.2893-2906, 1997.

P. Otheguy, P. Billant, and J. 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

Y. Park, J. Whitehead, and A. Gnanadeskian, Turbulent mixing in stratified fluids: layer formation and energetics, Journal of Fluid Mechanics, vol.87, issue.-1, pp.279-311, 1994.
DOI : 10.1175/1520-0485(1991)021 2.0.CO;2

R. T. Pierrehumbert, Universal Short-Wave Instability of Two-Dimensional Eddies in an Inviscid Fluid, Physical Review Letters, vol.57, issue.17, pp.2157-2159, 1986.
DOI : 10.1103/PhysRevLett.57.2157

D. S. Pradeep and F. Hussain, Effects of boundary condition in numerical simulations of vortex dynamics, Journal of Fluid Mechanics, vol.516, pp.115-124, 2004.
DOI : 10.1017/S002211200400076X

O. Praud, A. Fincham, and J. Sommeria, Decaying grid turbulence in a strongly stratified fluid, Journal of Fluid Mechanics, vol.522, pp.1-33, 2005.
DOI : 10.1017/S002211200400120X

URL : https://hal.archives-ouvertes.fr/hal-00260781

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

J. J. Riley, W. Metcalfe, and M. A. Weissman, Direct numerical simulations of homogeneous turbulence in density-stratified fluids, AIP Conference Proceedings, pp.79-112, 1981.
DOI : 10.1063/1.33198

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

S. I-p-p and D. , J a c q u i n ,L .&C o s s u ,C .2000 Self-adaptation and viscous selection in concentrated two-dimensional vortex dipoles, Phys. Fluids, vol.12, pp.245-248

S. A. Thorpe, Turbulence and Mixing in a Scottish Loch, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.286, issue.1334, pp.125-181
DOI : 10.1098/rsta.1977.0112

V. Thouret, J. Y. Cho, R. E. Newell, A. Marenco, and H. G. Smit, General characteristics of tropospheric trace constituent layers observed in the MOZAIC program, Journal of Geophysical Research: Atmospheres, vol.102, issue.D13, pp.379-396, 2000.
DOI : 10.1029/2000JD900238

C. Tsai and S. E. Widnall, The stability of short waves on a straight vortex filament in a weak externally imposed strain field, Journal of Fluid Mechanics, vol.8, issue.04, pp.721-733, 1976.
DOI : 10.1146/annurev.fl.07.010175.001041

M. Waite and P. Bartello, Stratified turbulence dominated by vortical motion, Journal of Fluid Mechanics, vol.517, pp.281-308, 2004.
DOI : 10.1017/S0022112004000977

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