J. M. Billant and . Chomaz, Theoretical analysis of the zigzag instability of a vertical columnar vortex pair in a strongly stratified fluid, Journal of Fluid Mechanics, vol.419, issue.29, 2000.
DOI : 10.1017/S0022112000001166

URL : https://hal.archives-ouvertes.fr/hal-01025369

B. Flor and G. J. Van-heijst, Stable and unstable monopolar vortices in a stratified fluid, Journal of Fluid Mechanics, vol.225, issue.-1, 1996.
DOI : 10.1016/0169-5983(92)90004-G

R. Beckers, H. J. Verzicco, G. J. Clercx, and . Van-heist, Dynamics of pancake-like vortices in a stratified fluid: experiments, model and numerical simulations, Journal of Fluid Mechanics, vol.433, issue.1, 2001.
DOI : 10.1017/S0022112001003482

J. M. Bonneton, E. J. Chomaz, and . Hopfinger, Internal waves produced by the turbulent wake of a sphere moving horizontally in a stratified fluid, Journal of Fluid Mechanics, vol.231, issue.-1, 1993.
DOI : 10.1007/BF00911660

J. M. Bonneton, E. J. Chomaz, M. Hopfinger, and . Perrier, The structure of the turbulent wake and the random internal wave field generated by a moving sphere in a stratified fluid, Dynamics of Atmospheres and Oceans, vol.23, issue.1-4, 1996.
DOI : 10.1016/0377-0265(95)00435-1

V. Caillol and . Zeitlin, Kinetic equations and stationary energy spectra of weakly nonlinear internal gravity waves, Dynamics of Atmospheres and Oceans, vol.32, issue.2, 2000.
DOI : 10.1016/S0377-0265(99)00043-3

M. E. Ford, W. A. Mcintyre, and . Norton, Balance and the Slow Quasimanifold: Some Explicit Results, Journal of the Atmospheric Sciences, vol.57, issue.9, 1236.
DOI : 10.1175/1520-0469(2000)057<1236:BATSQS>2.0.CO;2

C. Crow, Aerodynamic Sound Emission as a Singular Perturbation Problem, Studies in Applied Mathematics, vol.10, issue.1, 1970.
DOI : 10.1002/sapm197049121

G. Crighton, Acoustics as a branch of fluid mechanics, Journal of Fluid Mechanics, vol.374, issue.-1, 1981.
DOI : 10.1063/1.1694612

. Kambe, Acoustic emissions by vortex motions, Journal of Fluid Mechanics, vol.22, issue.-1, 1986.
DOI : 10.1016/0022-460X(80)90706-3

I. Klyatskin, Emission of sound by a system of vortices, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, vol.6, issue.87, 1966.

M. Gryanik, Emission of sound by linear vortical filaments, Izv. Atmos. Ocean. Phys, vol.19, issue.150, 1983.

. Zeitlin, On the backreaction of acoustic radiation for distributed twodimensional vortex structures, 1932.

. Ford, The response of a rotating ellipse of uniform potential vorticity to gravity wave radiation, Physics of Fluids, vol.6, issue.11, 1994.
DOI : 10.1063/1.868360

V. Legras and . Zeitlin, Conformal dynamics for vortex motions, Physics Letters A, vol.167, issue.3, 1992.
DOI : 10.1016/0375-9601(92)90203-X

P. Meacham, Quasigeostrophic, ellipsoidal vortices in a stratified fluid, Dynamics of Atmospheres and Oceans, vol.16, issue.3-4, 1992.
DOI : 10.1016/0377-0265(92)90007-G

T. Hashimoto, T. Shimonishi, and . Miyazaki, Quasigeostrophic Ellipsoidal Vortices in a Two-Dimensional Strain Field, Journal of the Physical Society of Japan, vol.68, issue.12, 1999.
DOI : 10.1143/JPSJ.68.3863

I. Abramowitz and . Stegun, Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 1964.
DOI : 10.1119/1.1972842

M. Reznik, V. Zeitlin, and M. B. Jelloul, Nonlinear theory of geostrophic adjustment. Part 1. Rotating shallow-water model, Journal of Fluid Mechanics, vol.445, 2001.
DOI : 10.1017/S002211200100550X

URL : https://hal.archives-ouvertes.fr/hal-00310857

E. H. Love, On the Stability of certain Vortex Motions, Proc. London Math. Soc. 25, p.1893
DOI : 10.1112/plms/s1-25.1.18