Direct numerical simulation of transition to turbulence from a high???symmetry initial condition, Physics of Fluids, vol.6, issue.8, pp.2757-2784, 1994. ,
DOI : 10.1063/1.868166
Evidence for a real-time singularity in hydrodynamics from time series analysis, Phys. Rev. Lett, vol.79, pp.4998-5001, 1994. ,
Small-scale structure of the Taylor???Green vortex, Journal of Fluid Mechanics, vol.50, issue.-1, pp.411-452, 1983. ,
DOI : 10.1017/S0022112078001846
Numerical evidence of smooth self???similar dynamics and possibility of subsequent collapse for three???dimensional ideal flows, Physics of Fluids A: Fluid Dynamics, vol.4, issue.12, pp.2845-2854, 1992. ,
DOI : 10.1063/1.858513
Singularities of Euler flow? not out of the blue!, Journal of Statistical Physics, vol.113, issue.5/6, pp.761-781, 2003. ,
DOI : 10.1023/A:1027308602344
URL : https://hal.archives-ouvertes.fr/hal-01399303
Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box, Physics of Fluids, vol.15, issue.2, pp.121-124, 2003. ,
DOI : 10.1063/1.1539855
Evidence for a singularity of the three???dimensional, incompressible Euler equations, Physics of Fluids A: Fluid Dynamics, vol.5, issue.7, pp.1725-1746, 1993. ,
DOI : 10.1063/1.858849
Three-Dimensional Periodic Flows with High-Symmetry, Journal of the Physical Society of Japan, vol.54, issue.6, pp.2132-2136, 1985. ,
DOI : 10.1143/JPSJ.54.2132
Study of Complex Singularities by Filtered Spectral Method, Journal of the Physical Society of Japan, vol.55, issue.5, pp.1542-1555, 1986. ,
DOI : 10.1143/JPSJ.55.1542
Symmetry and the hydrodynamic blowup problem, J. Fluid Mech, vol.444, pp.343-382, 2001. ,
Extended series analysis of full octahedral flow: numerical evidence for hydrodynamic blowup, Fluid Dynamics Research, vol.33, issue.1-2, pp.207-221, 2003. ,
DOI : 10.1016/S0169-5983(03)00039-X
Evidence for a Real-Time Singularity in Hydrodynamics from Time Series Analysis, Physical Review Letters, vol.79, issue.25, pp.4998-5001, 1997. ,
DOI : 10.1103/PhysRevLett.79.4998
Locally self-similar, finite-time collapse in a high-symmetry vortex filament model, Physical Review E, vol.55, issue.2, pp.1617-1626, 1997. ,
DOI : 10.1103/PhysRevE.55.1617
Tracing complex singularities with spectral methods, Journal of Computational Physics, vol.50, issue.1, pp.138-161, 1983. ,
DOI : 10.1016/0021-9991(83)90045-1
Mechanism of the Production of Small Eddies from Large Ones, Proc. Roy. Soc. London A 158, pp.499-521, 1937. ,
DOI : 10.1098/rspa.1937.0036
Small-scale structure of the Taylor???Green vortex, Journal of Fluid Mechanics, vol.50, issue.-1, pp.411-452, 1983. ,
DOI : 10.1017/S0022112078001846
Numerical evidence of smooth self???similar dynamics and possibility of subsequent collapse for three???dimensional ideal flows, Physics of Fluids A: Fluid Dynamics, vol.4, issue.12, pp.2845-2854, 1992. ,
DOI : 10.1063/1.858513
Kolmogorov scaling in truncated 3-d euler flows, 2004. ,
Kolmogorov scaling and thermal relaxation in spectrally-truncated incompressible euler equations, 2005. ,
Evolution of complex singularities in Kida???Pelz and Taylor???Green inviscid flows, Fluid Dynamics Research, vol.36, issue.4-6, 2005. ,
DOI : 10.1016/j.fluiddyn.2004.09.005
Singularities of euler flow? not out of the blue!, J. Stat. Phys, vol.113, pp.5-6, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-01399303
Three-Dimensional Periodic Flows with High-Symmetry, Journal of the Physical Society of Japan, vol.54, issue.6, pp.2132-2136, 1985. ,
DOI : 10.1143/JPSJ.54.2132
Helical turbulence and absolute equilibrium, Journal of Fluid Mechanics, vol.none, issue.04, pp.745-752, 1973. ,
DOI : 10.1103/PhysRev.113.1181
Statistically relevant conserved quantities for truncated quasigeostrophic flow, Proc. Natl. Acad. Sci, pp.3841-3846, 2003. ,
Remarkable statistical behavior for truncated Burgers-Hopf dynamics, Proc. Natl. Acad. Sci. 97, pp.12413-12417, 2000. ,
DOI : 10.1073/pnas.96.26.14687
Statistical Theory of Turbulence. in, Les Houches 1973: Fluid dynamics, 1977. ,
Symmetry and the hydrodynamic blowup problem, J.Fluid Mech, vol.444, pp.343-382, 2001. ,
Tracing complex singularities with spectral methods, Journal of Computational Physics, vol.50, issue.1, pp.138-161, 1983. ,
DOI : 10.1016/0021-9991(83)90045-1
Kolmogorov Turbulence in Low-Temperature Superflows, Physical Review Letters, vol.78, issue.20, p.3896, 1997. ,
DOI : 10.1103/PhysRevLett.78.3896
URL : https://hal.archives-ouvertes.fr/hal-00364496
Decaying Kolmogorov turbulence in a model of superflow, Physics of Fluids, vol.9, issue.9, p.2644, 1997. ,
DOI : 10.1063/1.869473
URL : https://hal.archives-ouvertes.fr/hal-00364491
Experimental and numerical investigations of low-temperature superfluid turbulence, European Journal of Mechanics - B/Fluids, vol.17, issue.4, p.665, 1998. ,
DOI : 10.1016/S0997-7546(98)80019-8
URL : https://hal.archives-ouvertes.fr/hal-00364501
Energy Spectrum of Superfluid Turbulence with No Normal-Fluid Component, Physical Review Letters, vol.89, issue.14, p.145301, 2002. ,
DOI : 10.1103/PhysRevLett.89.145301
Evolution of complex singularities in Kida???Pelz and Taylor???Green inviscid flows, Fluid Dynamics Research, vol.36, issue.4-6, p.239, 2005. ,
DOI : 10.1016/j.fluiddyn.2004.09.005
Small-scale structure of the Taylor???Green vortex, Journal of Fluid Mechanics, vol.50, issue.-1, p.411, 1983. ,
DOI : 10.1017/S0022112078001846
Helical turbulence and absolute equilibrium, Journal of Fluid Mechanics, vol.none, issue.04, p.745, 1973. ,
DOI : 10.1103/PhysRev.113.1181
Classical Fluctuation-Relaxation Theorem, Physical Review, vol.113, issue.5, p.1181, 1959. ,
DOI : 10.1103/PhysRev.113.1181
Warm Cascades and Anomalous Scaling in a Diffusion Model of Turbulence, Physical Review Letters, vol.92, issue.4, p.44501, 2004. ,
DOI : 10.1103/PhysRevLett.92.044501
Statistical Theory of Turbulence. in, Les Houches 1973 : Fluid dynamics, 1977. ,
Numerical Simulation of Three-Dimensional Homogeneous Isotropic Turbulence, Physical Review Letters, vol.28, issue.2, pp.76-79, 1972. ,
DOI : 10.1103/PhysRevLett.28.76
Numerical study of small-scale intermittency in three-dimensional turbulence, Journal of Fluid Mechanics, vol.17, issue.-1, p.375, 1981. ,
DOI : 10.1088/0022-3735/2/11/320
Small-scale structure of the Taylor???Green vortex, Journal of Fluid Mechanics, vol.50, issue.-1, pp.411-452, 1983. ,
DOI : 10.1017/S0022112078001846
Mechanism of the Production of Small Eddies from Large Ones, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.158, issue.895, pp.499-521, 1937. ,
DOI : 10.1098/rspa.1937.0036
Numerical evidence of smooth self???similar dynamics and possibility of subsequent collapse for three???dimensional ideal flows, Physics of Fluids A: Fluid Dynamics, vol.4, issue.12, pp.2845-2854, 1992. ,
DOI : 10.1063/1.858513
Direct simulation of three-dimensional turbulence in the Taylor???Green vortex, Fluid Dynamics Research, vol.8, issue.1-4, pp.1-8, 1991. ,
DOI : 10.1016/0169-5983(91)90026-F
Géométrie des structuresàstructuresà petité echelle dans le vortex de taylor-green ,
Direct observation of the intermittency of intense vorticity filaments in turbulence, Physical Review Letters, vol.67, issue.8, pp.983-986, 1991. ,
DOI : 10.1103/PhysRevLett.67.983
On statistical correlations between velocity increments and locally averaged dissipation in homogeneous turbulence, Physics of Fluids A: Fluid Dynamics, vol.5, issue.2, pp.458-463, 1993. ,
DOI : 10.1063/1.858897
Reynolds number dependence of isotropic Navier-Stokes turbulence, Physical Review Letters, vol.70, issue.21, pp.3251-3254, 1993. ,
DOI : 10.1103/PhysRevLett.70.3251
Direct numerical simulations of turbulence -data generation and statistical analysis, Los Alamos Science, vol.29, pp.142-151, 2005. ,
Recovering isotropic statistics in turbulence simulations: The Kolmogorov 4/5th law, Physical Review E, vol.68, issue.2, p.26310, 2003. ,
DOI : 10.1103/PhysRevE.68.026310
Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box, Physics of Fluids, vol.15, issue.2, pp.121-124, 2003. ,
DOI : 10.1063/1.1539855
Existence and smoothness of the navier-stokes equations, 2000. ,
Analyticité des solutions périodiques de l'´ equation d'euler en deux dimensions, C. R. Acad. Sc, pp.995-998, 1976. ,
Un theor???me sur l'existence du mouvement plan d'un fluide parfait, homog???ne, incompressible, pendant un temps infiniment long, Mathematische Zeitschrift, vol.5, issue.1, pp.698-726, 1933. ,
DOI : 10.1007/BF01474610
???ber die unbeschr???nkte Fortsetzbarkeit einer stetigen ebenen Bewegung in einer unbegrenzten inkompressiblen Fl???ssigkeit, Mathematische Zeitschrift, vol.23, issue.1, pp.727-738, 1933. ,
DOI : 10.1007/BF01474611
Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Communications in Mathematical Physics, vol.20, issue.1, pp.61-66, 1985. ,
DOI : 10.1007/BF01212349
Cauchy problem for analytic pseudo-differential operators, Comm. Partial Diff. Eq, vol.1, pp.135-189, 1976. ,
Analyticité des solutions de l'´ equation d'euler en trois dimensions, C. R. Acad, pp.107-110, 1976. ,
Domaine d'analyticité des solutions de l'´ equation d'euler dans un ouvert de r3, Ann. Sci. Norm. Sup. Pisa, vol.4, pp.647-687, 1977. ,
Analyticit?? des solutions des ??quations d'Euler, Archive for Rational Mechanics and Analysis, vol.20, issue.3, pp.271-299, 1979. ,
DOI : 10.1007/BF00280600
Singularities of euler flow ? not out of the blue !, J. Stat. Phys, vol.113, pp.5-6761781, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-01399303
Statistical hydrodynamics and functional calculus, J. Ratl. Mech. Anal, vol.1, pp.87-123, 1952. ,
DOI : 10.1512/iumj.1952.1.51004
URL : http://doi.org/10.1512/iumj.1952.1.51004
Mathematical examples illustrating relations occuring in the theory of turbulent motion, Kon. Ned. Akad. Wet. Verh, vol.17, pp.1-53, 1939. ,
Inertial Ranges in Two-Dimensional Turbulence, Physics of Fluids, vol.10, issue.7, pp.1417-1423, 1967. ,
DOI : 10.1063/1.1762301
The local structure of turbulence in incompressible viscous fluide for very large reynolds number, C. R. Acad. Sci. U.S.S.R, vol.30, pp.9-13, 1941. ,
On degeneration decay of isotropic turbulence in an incompressible viscous liquid, C. R. Acad. Sci. U.S.S.R, vol.31, pp.538-540, 1941. ,
Dissipation of Energy in the Locally Isotropic Turbulence, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.434, issue.1890, pp.16-18, 1941. ,
DOI : 10.1098/rspa.1991.0076
Kolmogorov Turbulence in Low-Temperature Superflows, Physical Review Letters, vol.78, issue.20, pp.3896-3899, 1997. ,
DOI : 10.1103/PhysRevLett.78.3896
URL : https://hal.archives-ouvertes.fr/hal-00364496
Experimental and numerical investigations of low-temperature superfluid turbulence, European Journal of Mechanics - B/Fluids, vol.17, issue.4, pp.665-675, 1998. ,
DOI : 10.1016/S0997-7546(98)80019-8
URL : https://hal.archives-ouvertes.fr/hal-00364501
Energy Spectrum of Superfluid Turbulence with No Normal-Fluid Component, Physical Review Letters, vol.89, issue.14, pp.1-4, 2002. ,
DOI : 10.1103/PhysRevLett.89.145301
Three-Dimensional Periodic Flows with High-Symmetry, Journal of the Physical Society of Japan, vol.54, issue.6, pp.2132-2136, 1985. ,
DOI : 10.1143/JPSJ.54.2132
Tracing complex singularities with spectral methods, Journal of Computational Physics, vol.50, issue.1, pp.138-161, 1983. ,
DOI : 10.1016/0021-9991(83)90045-1
Evolution of complex singularities in kida-pelz and taylorgreen inviscid flows (in press), Fluid Dyn. Res, 2005. ,
Evolution of complex singularities and Kolmogorov scaling in truncated 3-D Euler flows dans, IUTAM Symposium on Elementary Vortices and Coherent Structures : Significance in Turbulence Dynamics " . S. Kida, 2006. ,
Effective Dissipation and Turbulence in Spectrally Truncated Euler Flows, Physical Review Letters, vol.95, issue.26, p.264502, 2005. ,
DOI : 10.1103/PhysRevLett.95.264502
Symmetry and the hydrodynamic blowup problem, J.Fluid Mech, vol.444, pp.343-382, 2001. ,
Extended series analysis of full octahedral flow: numerical evidence for hydrodynamic blowup, Fluid Dynamics Research, vol.33, issue.1-2, pp.207-221, 2003. ,
DOI : 10.1016/S0169-5983(03)00039-X
Evidence for a Real-Time Singularity in Hydrodynamics from Time Series Analysis, Physical Review Letters, vol.79, issue.25, pp.4998-5001, 1997. ,
DOI : 10.1103/PhysRevLett.79.4998
Locally self-similar, finite-time collapse in a high-symmetry vortex filament model, Physical Review E, vol.55, issue.2, pp.1617-1626, 1997. ,
DOI : 10.1103/PhysRevE.55.1617
Evidence for a real-time singularity in hydrodynamics from time series analysis, Phys. Rev. Lett, vol.79, pp.4998-5001, 1994. ,
Direct numerical simulation of transition to turbulence from a high???symmetry initial condition, Physics of Fluids, vol.6, issue.8, pp.2757-2784, 1994. ,
DOI : 10.1063/1.868166
Evidence for a singularity of the three???dimensional, incompressible Euler equations, Physics of Fluids A: Fluid Dynamics, vol.5, issue.7, pp.1725-1746, 1993. ,
DOI : 10.1063/1.858849
Study of Complex Singularities by Filtered Spectral Method, Journal of the Physical Society of Japan, vol.55, issue.5, pp.1542-1555, 1986. ,
DOI : 10.1143/JPSJ.55.1542
Classical Fluctuation-Relaxation Theorem, Physical Review, vol.113, issue.5, p.11811182, 1959. ,
DOI : 10.1103/PhysRev.113.1181
Linear Response Theory of Irreversible Processes dans " Statistical Mechanics of Equilibrium and Non-Equilibrium, J. Meixner, 1957. ,
Remarkable statistical behavior for truncated Burgers-Hopf dynamics, Proc. Natl. Acad. Sci, pp.12413-12417, 2000. ,
DOI : 10.1073/pnas.96.26.14687
Statistically relevant conserved quantities for truncated quasi-geostrophic flow, Proc. Natl. Acad. Sci, pp.3841-3846, 2003. ,
ON A FORMULA FOR THE PRODUCT-MOMENT COEFFICIENT OF ANY ORDER OF A NORMAL FREQUENCY DISTRIBUTION IN ANY NUMBER OF VARIABLES, Biometrika, vol.12, issue.1-2, pp.134-139, 1918. ,
DOI : 10.1093/biomet/12.1-2.134
Helical turbulence and absolute equilibrium, Journal of Fluid Mechanics, vol.none, issue.04, pp.745-752, 1973. ,
DOI : 10.1103/PhysRev.113.1181
Statics and dynamics of worm-like surfactant micelles, Journal of Physics: Condensed Matter, vol.2, issue.33, pp.6869-6892, 1990. ,
DOI : 10.1088/0953-8984/2/33/001
Random number generators: good ones are hard to find, Communications of the ACM, vol.31, issue.10, pp.1192-1201, 1988. ,
DOI : 10.1145/63039.63042