A. Antkowiak and P. Brancher, Transient energy growth for the Lamb???Oseen vortex, Physics of Fluids, vol.16, issue.1, pp.1-4, 2004.
DOI : 10.1063/1.1626123
URL : https://hal.archives-ouvertes.fr/hal-00086131

N. J. Balmforth, Shear instability in shallow water, Journal of Fluid Mechanics, vol.387, pp.97-127, 1999.
DOI : 10.1017/S0022112099004279

P. Billant, Zigzag instability of vortex pairs in stratified and rotating fluids. Part 1. General stability equations., Journal of Fluid Mechanics, vol.597, pp.354-395, 2010.
DOI : 10.1017/S0022112008001912
URL : https://hal.archives-ouvertes.fr/hal-01021123

P. Billant, A. Colette, and J. Chomaz, Instabilities of a vortex pair in a stratified and rotating fluid, Proceedings of the 21st International Congress of the International Union of Theoretical and Applied Mechanics, pp.16-20, 2004.

P. Billant and F. Gallaire, Generalized Rayleigh criterion for non-axisymmetric centrifugal instabilities, Journal of Fluid Mechanics, vol.542, issue.-1, pp.365-379, 2005.
DOI : 10.1017/S0022112005006464
URL : https://hal.archives-ouvertes.fr/hal-00015707

R. J. Briggs, J. D. Daugherty, and R. H. Levy, Role of Landau Damping in Crossed-Field Electron Beams and Inviscid Shear Flow, Physics of Fluids, vol.13, issue.2, pp.421-432, 1970.
DOI : 10.1063/1.1692936

G. F. Carnevale and R. C. Kloosterziel, Emergence and evolution of triangular vortices, Journal of Fluid Mechanics, vol.23, issue.-1, p.305331, 1994.
DOI : 10.1007/BF00949042

X. J. Carton and J. C. Mcwilliams, Barotropic and Baroclinic Instabilities of Axisymmetric Vortices in a Quasigeostrophic Model, Mesoscale/Synoptic Coherent structures in Geophysical Turbulence, pp.225-244, 1989.
DOI : 10.1016/S0422-9894(08)70188-0

D. Fabre, D. Sipp, and L. Jacquin, Kelvin waves and the singular modes of the Lamb???Oseen vortex, Journal of Fluid Mechanics, vol.551, issue.-1, pp.235-274, 2006.
DOI : 10.1017/S0022112005008463

G. R. Flierl, On the instability of geostrophic vortices, Journal of Fluid Mechanics, vol.42, issue.-1, pp.349-388, 1988.
DOI : 10.1175/1520-0485(1973)003 2.0.CO;2

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

L. N. Howard and A. S. Gupta, On the hydrodynamic and hydromagnetic stability of swirling flows, Journal of Fluid Mechanics, vol.4, issue.03, pp.463-476, 1962.
DOI : 10.1017/S0022112062001366

B. L. Hua, The Internal Barotropic Instability of Surface-Intensified Eddies. Part I: Generalized Theory of Isolated Eddies, Journal of Physical Oceanography, vol.18, issue.1, pp.40-55, 1998.
DOI : 10.1175/1520-0485(1988)018<0040:TIBIOS>2.0.CO;2
URL : https://hal.archives-ouvertes.fr/hal-00268784

R. C. Kloosterziel and G. J. Van-heijst, An experimental study of unstable barotropic vortices in a rotating fluid, Journal of Fluid Mechanics, vol.35, issue.-1, pp.1-24, 1991.
DOI : 10.1063/1.864781

N. Lahaye and V. Zeitlin, Centrifugal, barotropic and baroclinic instabilities of isolated ageostrophic anticyclones in the two-layer rotating shallow water model and their nonlinear saturation, Journal of Fluid Mechanics, vol.21, pp.5-34
DOI : 10.1175/1520-0485(2003)033<1197:SOMOVA>2.0.CO;2

L. Dizès and S. , Non-axisymmetric vortices in two-dimensional flows, Journal of Fluid Mechanics, vol.406, pp.175-198, 2000.
DOI : 10.1017/S0022112099007326

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

C. C. Lin, The theory of hydrodynamics stability, 1955.

A. Michalke and A. Timme, On the inviscid instability of certain two-dimensional vortex-type flows, Journal of Fluid Mechanics, vol.46, issue.04, pp.647-666, 1967.
DOI : 10.1063/1.1710960

M. T. Montgomery and L. J. Shapiro, Generalized Charney???Stern and Fjortoft Theorems for Rapidly Rotating Vortices, Journal of the Atmospheric Sciences, vol.52, issue.10, pp.1829-1833, 1995.
DOI : 10.1175/1520-0469(1995)052<1829:GCAFTF>2.0.CO;2

J. Park and P. Billant, Radiative instability of an anticyclonic vortex in a stratified rotating fluid, Journal of Fluid Mechanics, vol.707, pp.381-392
DOI : 10.1063/1.1369125
URL : https://hal.archives-ouvertes.fr/hal-01025047

J. Park and P. Billant, Instabilities and waves on a columnar vortex in a strongly stratified and rotating fluid, Physics of Fluids, vol.25, issue.8, 2013.
DOI : 10.1063/1.4816512
URL : https://hal.archives-ouvertes.fr/hal-00996422

. Rayleigh, Lord 1880 On the stability, or instability, of certain fluid motions, Proc. London Math. Soc, vol.11, pp.57-70

. Rayleigh, Lord 1917 On the dynamics of revolving fluids, Proc. R. Soc. A 93, pp.148-154

P. D. Reasor and M. T. Montgomery, Three-Dimensional Alignment and Corotation of Weak, TC-like Vortices via Linear Vortex Rossby Waves, Journal of the Atmospheric Sciences, vol.58, issue.16, pp.2306-2330, 2001.
DOI : 10.1175/1520-0469(2001)058<2306:TDAACO>2.0.CO;2

P. D. Reasor, M. T. Montgomery, and L. D. Grasso, A New Look at the Problem of Tropical Cyclones in Vertical Shear Flow: Vortex Resiliency, Journal of the Atmospheric Sciences, vol.61, issue.1, pp.3-22, 2004.
DOI : 10.1175/1520-0469(2004)061<0003:ANLATP>2.0.CO;2

X. Riedinger and A. D. Gilbert, Critical layer and radiative instabilities in shallow-water shear flows, Journal of Fluid Mechanics, vol.225, pp.539-569, 2014.
DOI : 10.1063/1.1692936

X. Riedinger, L. Dizès, S. Meunier, and P. , Viscous stability properties of a Lamb???Oseen vortex in a stratified fluid, Journal of Fluid Mechanics, vol.228, pp.255-278, 2010.
DOI : 10.1017/S0022112089001138
URL : https://hal.archives-ouvertes.fr/hal-00431426

X. Riedinger, L. Dizès, S. Meunier, and P. , Radiative instability of the flow around a rotating cylinder in a stratified fluid, Journal of Fluid Mechanics, vol.228, pp.130-146, 2011.
DOI : 10.1017/S0022112075000742
URL : https://hal.archives-ouvertes.fr/hal-01349128

D. A. Schecter, D. H. Dubin, A. C. Cass, C. F. Driscoll, I. M. Lansky et al., Inviscid damping of asymmetries on a two-dimensional vortex, Physics of Fluids, vol.12, issue.10, pp.2397-2412, 2000.
DOI : 10.1063/1.1289505

D. A. Schecter and M. T. Montgomery, On the symmetrization rate of an intense geophysical vortex, Dynamics of Atmospheres and Oceans, vol.37, issue.1, pp.55-88, 2003.
DOI : 10.1016/S0377-0265(03)00015-0

D. A. Schecter and M. T. Montgomery, Damping and pumping of a vortex Rossby wave in a monotonic cyclone: Critical layer stirring versus inertia???buoyancy wave emission, Physics of Fluids, vol.16, issue.5, pp.1334-1382
DOI : 10.1063/1.1651485

D. A. Schecter and M. T. Montgomery, Conditions That Inhibit the Spontaneous Radiation of Spiral Inertia???Gravity Waves from an Intense Mesoscale Cyclone, Journal of the Atmospheric Sciences, vol.63, issue.2, pp.435-456, 2006.
DOI : 10.1175/JAS3641.1

D. A. Schecter, M. T. Montgomery, and P. D. Reasor, A Theory for the Vertical Alignment of a Quasigeostrophic Vortex, Journal of the Atmospheric Sciences, vol.59, issue.2, pp.150-168, 2002.
DOI : 10.1175/1520-0469(2002)059<0150:ATFTVA>2.0.CO;2

W. D. Smyth and J. C. Mcwilliams, Instability of an Axisymmetric Vortex in a Stably Stratified, Rotating Environment, Theoretical and Computational Fluid Dynamics, vol.11, issue.3-4, pp.3-4, 1998.
DOI : 10.1007/s001620050095

S. E. Widnall, D. B. Bliss, and A. Zalay, Theoretical and Experimental Study of the Stability of a Vortex Pair, Aircraft Wake Turbulence and Its Detection, pp.305-338, 1971.
DOI : 10.1007/978-1-4684-8346-8_19