-
1
-
-
0021205138
-
High-order velocity structure functions in turbulent shear flow
-
F. Anselmet, Y. Gagne, E. J. Hopfinger and R. A. Antonia, High-order velocity structure functions in turbulent shear flow, J. Fluid Mech., 140 (1984), 63-89.
-
(1984)
J. Fluid Mech.
, vol.140
, pp. 63-89
-
-
Anselmet, F.1
Gagne, Y.2
Hopfinger, E.J.3
Antonia, R.A.4
-
2
-
-
0003691893
-
-
of Applied Mathematical Sciences, Springer-Verlag, New York
-
Vladimir I. Arnold and Boris A. Khesin, "Topological Methods in Hydrodynamics," volume 125 of "Applied Mathematical Sciences," Springer-Verlag, New York, 1998.
-
(1998)
Topological Methods in Hydrodynamics
, vol.125
-
-
Arnold, V.I.1
Khesin, B.A.2
-
3
-
-
84990576577
-
Partial regularity of suitable weak solutions of the Navier-Stokes equations
-
L. Caffarelli, R. Kohn and L. Nirenberg, Partial regularity of suitable weak solutions of the Navier-Stokes equations, Comm. Pure Appl. Math., 35 (1982), 771-831.
-
(1982)
Comm. Pure Appl. Math.
, vol.35
, pp. 771-831
-
-
Caffarelli, L.1
Kohn, R.2
Nirenberg, L.3
-
4
-
-
53349096087
-
Long time existence and singularity formation for vortex sheets
-
Lecture Notes in Math. Los Angeles, CA, 1987 Springer, Berlin
-
Russel E. Caflisch, Long time existence and singularity formation for vortex sheets, In "Vortex Methods" (Los Angeles, CA, 1987), volume 1360 of "Lecture Notes in Math.," pages 1-8. Springer, Berlin, 1988.
-
(1988)
Vortex Methods
, vol.1360
, pp. 1-8
-
-
Caflisch, R.E.1
-
5
-
-
0031489424
-
Isaac klapper and gregory steele remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
-
Russel E. Caflisch, Isaac Klapper and Gregory Steele, Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD, Comm. Math. Phys., 184 (1997), 443-455.
-
(1997)
Comm. Math. Phys.
, vol.184
, pp. 443-455
-
-
Caflisch, R.E.1
-
6
-
-
0001747831
-
Singular solutions and Ill-posedness for the evolution of vortex sheets
-
Russel E. Caflisch and Oscar F. Orellana, Singular solutions and ill-posedness for the evolution of vortex sheets, SIAM J. Math. Anal., 20 (1989), 293-307.
-
(1989)
SIAM J. Math. Anal.
, vol.20
, pp. 293-307
-
-
Caflisch, R.E.1
Orellana, O.F.2
-
7
-
-
0141792300
-
Remarks on the Helicity of the 3-D Incompressible Euler Equations
-
Dongho Chae, Remarks on the helicity of the 3-D incompressible Euler equations, Comm. Math. Phys., 240 (2003), 501-507. (Pubitemid 37223707)
-
(2003)
Communications in Mathematical Physics
, vol.240
, Issue.3
, pp. 501-507
-
-
Chae, D.1
-
8
-
-
45149096278
-
Energy conservation and On-sager's conjecture for the Euler equations
-
A. Cheskidov, P. Constantin, S. Friedlander and R. Shvydkoy, Energy conservation and On-sager's conjecture for the Euler equations, Nonlinearity, 21 (2008), 1233-1252.
-
(2008)
Nonlinearity
, vol.21
, pp. 1233-1252
-
-
Cheskidov, A.1
Constantin, P.2
Friedlander, S.3
Shvydkoy, R.4
-
9
-
-
62949147224
-
The vanishing viscosity limit for a dyadic model
-
A. Cheskidov and S. Friedlander, The vanishing viscosity limit for a dyadic model, Physica D, 238 (2009), 783-787.
-
(2009)
Physica D
, vol.238
, pp. 783-787
-
-
Cheskidov, A.1
Friedlander, S.2
-
11
-
-
84864617969
-
On the Energy Equality for Weak Solutions of the 3D Navier-Stokes Equations
-
to appear
-
A. Cheskidov, S. Friedlander and R. Shvydkoy, On the energy equality for weak solutions of the 3D Navier-Stokes equations, in "Galdi Fest Volume," to appear.
-
Galdi Fest Volume
-
-
Cheskidov, A.1
Friedlander, S.2
Shvydkoy, R.3
-
13
-
-
62949098542
-
Blow-up in finite time for the dyadic model of the Navier-Stokes equations
-
Alexey Cheskidov, Blow-up in finite time for the dyadic model of the Navier-Stokes equations, Trans. Amer. Math. Soc., 360 (2008), 5101-5120.
-
(2008)
Trans. Amer. Math. Soc.
, vol.360
, pp. 5101-5120
-
-
Cheskidov, A.1
-
14
-
-
21844522201
-
Onsager's conjecture on the energy conservation for solutions of Euler's equation
-
Peter Constantin, Weinan E and Edriss S. Titi, Onsager's conjecture on the energy conservation for solutions of Euler's equation, Comm. Math. Phys., 165 (1994), 207-209.
-
(1994)
Comm. Math. Phys.
, vol.165
, pp. 207-209
-
-
Peter, C.1
Weinan, E.2
Titi, E.S.3
-
16
-
-
84864620617
-
Existence De Nappes De Tourbillon Pour L'́equation D'Euler Sur Le Plan
-
pages Exp. No II 12. ́ Ecole Polytech., Palaiseau
-
J.-M. Delort, Existence de nappes de tourbillon pour l'́equation d'Euler sur le plan, in ́ "Śeminaire sur les Equations aux D́eriv́ees Partielles, 1990-1991," pages Exp. No. II, 12. ́ Ecole Polytech., Palaiseau, (1991).
-
(1991)
Śeminaire sur les Equations Aux D́eriv́ees Partielles, 1990-1991
-
-
Delort, J.-M.1
-
18
-
-
0002306354
-
Ordinary differential equations, transport theory and Sobolev spaces
-
R. J. DiPerna and P.-L. Lions, Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math., 98 (1989), 511-547.
-
(1989)
Invent. Math.
, vol.98
, pp. 511-547
-
-
Diperna, R.J.1
Lions, P.-L.2
-
19
-
-
84990602493
-
Concentrations in regularizations for 2-D incompressible flow
-
Ronald J. DiPerna and Andrew J. Majda, Concentrations in regularizations for 2-D incompressible flow, Comm. Pure Appl. Math., 40 (1987), 301-345.
-
(1987)
Comm. Pure Appl. Math.
, vol.40
, pp. 301-345
-
-
Diperna, R.J.1
Majda, A.J.2
-
20
-
-
0033630156
-
Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
-
Jean Duchon and Raoul Robert, Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations, Nonlinearity, 13 (2000), 249-255.
-
(2000)
Nonlinearity
, vol.13
, pp. 249-255
-
-
Duchon, J.1
Robert, R.2
-
21
-
-
0002205604
-
Energy dissipation without viscosity in ideal hydrodynamics. I. Fourier analysis and local energy transfer
-
Gregory L. Eyink, Energy dissipation without viscosity in ideal hydrodynamics. I. Fourier analysis and local energy transfer, Phys. D, 78 (1994), 222-240.
-
(1994)
Phys. D
, vol.78
, pp. 222-240
-
-
Eyink, G.L.1
-
22
-
-
21844489943
-
Besov spaces and the multifractal hypothesis
-
Paper dedicated to the memory of Lars Onsager
-
Gregory L. Eyink, Besov spaces and the multifractal hypothesis, J. Statist. Phys., 78 (1995), 353-375. Paper dedicated to the memory of Lars Onsager.
-
(1995)
J. Statist. Phys.
, vol.78
, pp. 353-375
-
-
Eyink, G.L.1
-
23
-
-
0001773215
-
Exact results on stationary turbulence in 2D: Consequences of vorticity conservation
-
Gregory L. Eyink, Exact results on stationary turbulence in 2D: Consequences of vorticity conservation, Phys. D, 91 (1996), 97-142. (Pubitemid 126687306)
-
(1996)
Physica D: Nonlinear Phenomena
, vol.91
, Issue.1-2
, pp. 97-142
-
-
Eyink, G.L.1
-
24
-
-
47049085401
-
Dissipative anomalies in singular Euler flows
-
Gregory L. Eyink, Dissipative anomalies in singular Euler flows, Phys. D, 237, (2008), 1956-1968.
-
(2008)
Phys. D
, vol.237
, pp. 1956-1968
-
-
Eyink, G.L.1
-
25
-
-
33244455644
-
Sreenivasan, onsager and the theory of hydrodynamic turbulence
-
Gregory L. Eyink and Katepalli R. Sreenivasan, Onsager and the theory of hydrodynamic turbulence, Rev. Modern Phys., 78 (2006) 87-135.
-
(2006)
Rev. Modern Phys.
, vol.78
, pp. 87-135
-
-
Eyink, G.L.1
Katepalli, R.2
-
26
-
-
0001816154
-
On the singularity structure of fully developed turbulence
-
eds. M. Ghil, R. Benzi, and G. Parisi Amsterdam: North-Holland
-
U. Frisch and G. Parisi, On the singularity structure of fully developed turbulence, in "Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, Proc. International Summer School of Physics 'Enrico Fermi' " (eds. M. Ghil, R. Benzi, and G. Parisi), Amsterdam: North-Holland, (1985), 84-87.
-
(1985)
Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, Proc. International Summer School of Physics 'Enrico Fermi
, pp. 84-87
-
-
Frisch, U.1
Parisi, G.2
-
27
-
-
0004185784
-
-
the legacy of A. N. Kolmogorov Cambridge University Press, Cambridge
-
Uriel Frisch, "Turbulence," Cambridge University Press, Cambridge, 1995, the legacy of A. N. Kolmogorov.
-
(1995)
Turbulence
-
-
Frisch, U.1
-
28
-
-
84864577222
-
Remarque sur la multiplication dans les espaces de Sobolev et application aux ́equations d'Euler d'un fluide illimit'e
-
Uriel Frisch and Pierre-Louis Sulem, Remarque sur la multiplication dans les espaces de Sobolev et application aux ́equations d'Euler d'un fluide illimit'e, C. R. Acad. Sci. Paris Śer. A-B, 280 (1975), A1117-A1120.
-
(1975)
C. R. Acad. Sci. Paris Śer. A-B
, vol.280
-
-
Frisch, U.1
Sulem, P.2
-
29
-
-
2142782850
-
Modelling by cascade systems of nonlinear processes in hydrodynamics including turbulence
-
E. B. Gledzer, A. B. Glukhovsky and A. M. Obukhov, Modelling by cascade systems of nonlinear processes in hydrodynamics including turbulence, J. M'ec. Th'eor. Appl., 7 (1988), 111-130.
-
(1988)
J. m'Ec th'Eor. Appl.
, vol.7
, pp. 111-130
-
-
Gledzer, E.B.1
Glukhovsky, A.B.2
Obukhov, A.M.3
-
30
-
-
0037331593
-
Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box
-
DOI 10.1063/1.1539855
-
Y. Kaneda, T. Ishihara, M. Yokokawa, K. Itakura and A. Uno, Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box, Physics of Fluids, 15 (2003), L21-L24. (Pubitemid 36280998)
-
(2003)
Physics of Fluids
, vol.15
, Issue.2
-
-
Kaneda, Y.1
Ishihara, T.2
Yokokawa, M.3
Itakura, K.4
Uno, A.5
-
31
-
-
13844298015
-
Finite time blow-up for a dyadic model of the Euler equations
-
Nets Hawk Katz and Natasa Pavlovíc, Finite time blow-up for a dyadic model of the Euler equations, Trans. Amer. Math. Soc., 357 (2005), 695-708 (electronic).
-
(2005)
Trans. Amer. Math. Soc.
, vol.357
, pp. 695-708
-
-
Hawk Katz, N.1
Pavlovíc, N.2
-
33
-
-
0001277608
-
The local structure of turbulence in incompressible viscous fluid for very large Reynold's numbers
-
A. N. Kolmogoroff, The local structure of turbulence in incompressible viscous fluid for very large Reynold's numbers, C. R. (Doklady) Acad. Sci. URSS (N.S.), 30 (1941), 301-305.
-
(1941)
C. R. (Doklady) Acad. Sci. URSS (N.S.)
, vol.30
, pp. 301-305
-
-
Kolmogoroff, A.N.1
-
34
-
-
0002385458
-
Dissipation of energy in the locally isotropic turbulence
-
A. N. Kolmogoroff, Dissipation of energy in the locally isotropic turbulence, C. R. (Doklady) Acad. Sci. URSS (N.S.), 32 (1941), 16-18.
-
(1941)
C. R. (Doklady) Acad. Sci. URSS (N.S.)
, vol.32
, pp. 16-18
-
-
Kolmogoroff, A.N.1
-
35
-
-
0002385458
-
On degeneration of isotropic turbulence in an incompressible viscous liquid
-
A. N. Kolmogoroff, On degeneration of isotropic turbulence in an incompressible viscous liquid, C. R. (Doklady) Acad. Sci. URSS (N.S.), 31 (1941), 538-540.
-
(1941)
C. R. (Doklady) Acad. Sci. URSS (N.S.)
, vol.31
, pp. 538-540
-
-
Kolmogoroff, A.N.1
-
36
-
-
84908820517
-
Inertial-range transfer in two-and three-dimensional turbulence
-
R. H. Kraichnan, Inertial-range transfer in two-and three-dimensional turbulence, J. Fluid Mech., 47 (1971), 525-535.
-
(1971)
J. Fluid Mech.
, vol.47
, pp. 525-535
-
-
Kraichnan, R.H.1
-
37
-
-
0022735928
-
A study of singularity formation in a vortex sheet by the point-vortex approximation
-
Robert Krasny, A study of singularity formation in a vortex sheet by the point-vortex approximation, J. Fluid Mech., 167 (1986), 65-93. (Pubitemid 16603670)
-
(1986)
Journal of Fluid Mechanics
, vol.167
, pp. 65-93
-
-
Krasny, R.1
-
38
-
-
33744802345
-
Role of the pressure for validity of the energy equality for solutions of the navier-stokes equation
-
DOI 10.1007/s10884-006-9010-9
-
Igor Kukavica, Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation, J. Dynam. Differential Equations, 18 (2006), 461-482. (Pubitemid 43832959)
-
(2006)
Journal of Dynamics and Differential Equations
, vol.18
, Issue.2
, pp. 461-482
-
-
Kukavica, I.1
-
39
-
-
0042597989
-
Sur la ŕegularit'e et l'unicit'e des solutions turbulentes des ́equations de Navier Stokes
-
J. L. Lions, Sur la ŕegularit'e et l'unicit'e des solutions turbulentes des ́equations de Navier Stokes, Rend. Sem. Mat. Univ. Padova, 30 (1960), 16-23.
-
(1960)
Rend. Sem. Mat. Univ. Padova
, vol.30
, pp. 16-23
-
-
Lions, J.L.1
-
40
-
-
30344475840
-
Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence
-
DOI 10.1007/s00205-005-0390-5
-
M. C. Lopes Filho, A. L. Mazzucato and H. J. Nussenzveig Lopes, Weak solutions, renor-malized solutions and enstrophy defects in 2D turbulence, Arch. Ration. Mech. Anal., 179 (2006), 353-387. (Pubitemid 43054895)
-
(2006)
Archive for Rational Mechanics and Analysis
, vol.179
, Issue.3
, pp. 353-387
-
-
Filho, M.C.L.1
Mazzucato, A.L.2
Nussenzveig Lopes, H.J.3
-
41
-
-
0008672373
-
Some general properties of equations describing the dynamics of the atmosphere
-
A. M. Obukhov, Some general properties of equations describing the dynamics of the atmosphere, Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana, 7 (1971), 695-704.
-
(1971)
Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana
, vol.7
, pp. 695-704
-
-
Obukhov, A.M.1
-
44
-
-
84972517978
-
Partial regularity of solutions to the Navier-Stokes equations
-
Vladimir Scheffer, Partial regularity of solutions to the Navier-Stokes equations, Pacific J. Math., 66 (1976), 535-552.
-
(1976)
Pacific J. Math.
, vol.66
, pp. 535-552
-
-
Scheffer, V.1
-
45
-
-
0002117826
-
Hausdorff measure and the Navier-Stokes equations
-
Vladimir Scheffer, Hausdorff measure and the Navier-Stokes equations, Comm. Math. Phys., 55 (1977), 97-112.
-
(1977)
Comm. Math. Phys.
, vol.55
, pp. 97-112
-
-
Scheffer, V.1
-
46
-
-
0001768220
-
An inviscid flow with compact support in space-time
-
Vladimir Scheffer, An inviscid flow with compact support in space-time, J. Geom. Anal., 3 (1993), 343-401.
-
(1993)
J. Geom. Anal.
, vol.3
, pp. 343-401
-
-
Scheffer, V.1
-
47
-
-
0031491102
-
On the nonuniqueness of weak solution of the Euler equation
-
A. Shnirelman, On the nonuniqueness of weak solution of the Euler equation, Comm. Pure Appl. Math., 50 (1997), 1261-1286.
-
(1997)
Comm. Pure Appl. Math.
, vol.50
, pp. 1261-1286
-
-
Shnirelman, A.1
-
48
-
-
60349121725
-
A geometric condition implying an energy equality for solutions of the 3D Navier-Stokes equation
-
R. Shvydkoy, A geometric condition implying an energy equality for solutions of the 3D Navier-Stokes equation, J. Dyn. Diff. Equat., 21 (2009), 117-125.
-
(2009)
J. Dyn. Diff. Equat.
, vol.21
, pp. 117-125
-
-
Shvydkoy, R.1
-
49
-
-
53349162103
-
On the energy of inviscid singular flows
-
R. Shvydkoy, On the energy of inviscid singular flows, J. Math. Anal. Appl., 349 (2009), 583-595.
-
(2009)
J. Math. Anal. Appl.
, vol.349
, pp. 583-595
-
-
Shvydkoy, R.1
-
50
-
-
0011968533
-
On the regularity of the pressure of weak solutions of Navier-Stokes equations
-
Hermann Sohr and Wolf von Wahl, On the regularity of the pressure of weak solutions of Navier-Stokes equations, Arch. Math. (Basel), 46 (1986), 428-439.
-
(1986)
Arch. Math. (Basel)
, vol.46
, pp. 428-439
-
-
Sohr, H.1
Von Wahl, W.2
-
51
-
-
0038247451
-
Finite time analyticity for the two-and three-dimensional Kelvin-Helmholtz instability
-
C. Sulem, P.-L. Sulem, C. Bardos and U. Frisch, Finite time analyticity for the two-and three-dimensional Kelvin-Helmholtz instability, Comm. Math. Phys., 80 (1981), 485-516.
-
(1981)
Comm. Math. Phys.
, vol.80
, pp. 485-516
-
-
Sulem, C.1
Sulem, P.-L.2
Bardos, C.3
Frisch, U.4
-
52
-
-
0031280586
-
On generalized energy equality of the Navier-Stokes equations
-
Yasushi Taniuchi, On generalized energy equality of the Navier-Stokes equations, Manuscripta Math., 94 (1997), 365-384.
-
(1997)
Manuscripta Math.
, vol.94
, pp. 365-384
-
-
Taniuchi, Y.1
-
54
-
-
33745626744
-
Mathematical analysis of vortex sheets
-
DOI 10.1002/cpa.20110
-
Sijue Wu, Mathematical analysis of vortex sheets, Comm. Pure Appl. Math., 59 (2006), 1065-1206. (Pubitemid 43988294)
-
(2006)
Communications on Pure and Applied Mathematics
, vol.59
, Issue.8
, pp. 1065-1206
-
-
Wu, S.1
|