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Volumn 177, Issue 1, 2005, Pages 115-150

Intermittency and regularity issues in 3D navier-stokes turbulence

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EID: 20644447346     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-005-0382-5     Document Type: Article
Times cited : (21)

References (63)
  • 1
    • 0001151111 scopus 로고
    • The nature of turbulent flow at large wave-numbers
    • BATCHELOR, G.K., TOWNSEND, A.A.: The nature of turbulent flow at large wave-numbers. Proc R. Soc. Lond. A. 199, 238-255 (1949)
    • (1949) Proc R. Soc. Lond. A. , vol.199 , pp. 238-255
    • Batchelor, G.K.1    Townsend, A.A.2
  • 2
    • 51249193194 scopus 로고
    • Essai sur le mouvement d'un liquide visquex emplissant l'espace
    • LERAY, J.: Essai sur le mouvement d'un liquide visquex emplissant l'espace. Acta Math. 63, 193-248 (1934)
    • (1934) Acta Math. , vol.63 , pp. 193-248
    • Leray, J.1
  • 4
    • 0001807443 scopus 로고
    • The initial value problem for the Navier-Stokes equations
    • University of Wisconsin Press, Madison, R E Langer edition
    • SERRIN, J.: The initial value problem for the Navier-Stokes equations. In: Nonlinear Problems. University of Wisconsin Press, Madison, R E Langer edition, 1963
    • (1963) Nonlinear Problems
    • Serrin, J.1
  • 5
    • 0000358588 scopus 로고
    • Statistical study of Navier-Stokes equations I
    • FOIAS, C.: Statistical study of Navier-Stokes equations I. Rend. Sem. Mat. Univ. Padova 48, 219-348 (1972)
    • (1972) Rend. Sem. Mat. Univ. Padova , vol.48 , pp. 219-348
    • Foias, C.1
  • 6
    • 0002187572 scopus 로고
    • Statistical study of Navier-Stokes equations I
    • FOIAS, C.: Statistical study of Navier-Stokes equations I. Rend. Sem. Mat. Univ. Padova 49, 9-123 (1973)
    • (1973) Rend. Sem. Mat. Univ. Padova , vol.49 , pp. 9-123
    • Foias, C.1
  • 7
    • 0000062717 scopus 로고
    • Sur les solutions statistique des équations de Navier-Stokes
    • FOIAS, C., PRODI, G.: Sur les solutions statistique des équations de Navier-Stokes. Ann. Mat. Pura Appl. 111, 307-330 (1976)
    • (1976) Ann. Mat. Pura Appl. , vol.111 , pp. 307-330
    • Foias, C.1    Prodi, G.2
  • 8
    • 84963487888 scopus 로고
    • New a priori estimates for Navier-Stokes equations in Dimension 3
    • FOIAS, C., GUILLOPÉ, C., TEMAM, R.: New a priori estimates for Navier-Stokes equations in Dimension 3. Comm. Partial Diff. Equal. 6, 329-359 (1981)
    • (1981) Comm. Partial Diff. Equal. , vol.6 , pp. 329-359
    • Foias, C.1    Guillopé, C.2    Temam, R.3
  • 13
    • 0027454950 scopus 로고
    • Evidence for a singularity of the 3-dimensional, incompressible Euler equations
    • KERR, R.: Evidence for a singularity of the 3-dimensional, incompressible Euler equations. Phys. Fluids A 5, 1725-1746 (1993)
    • (1993) Phys. Fluids A , vol.5 , pp. 1725-1746
    • Kerr, R.1
  • 14
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3D Euler equations
    • BEALE, J.T., KATO, T., MAJDA, A.: Remarks on the breakdown of smooth solutions for the 3D Euler equations. Commun. Math. Phys. 94, 61-66 (1984)
    • (1984) Commun. Math. Phys. , vol.94 , pp. 61-66
    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 15
    • 0000385525 scopus 로고    scopus 로고
    • Geometric constraints on potentially singular solutions for the 3D Euler equations
    • CONSTANTIN, P., FEFFERMAN, CH., MAJDA, A.: Geometric constraints on potentially singular solutions for the 3D Euler equations. Comm. Partial. Diff. Equations 21, 559-571 (1996)
    • (1996) Comm. Partial. Diff. Equations , vol.21 , pp. 559-571
    • Constantin, P.1    Fefferman, C.H.2    Majda, A.3
  • 16
    • 84972517978 scopus 로고
    • Partial regularity of solutions to the Navier-Stokes equations
    • SCHEFFER, V.: Partial regularity of solutions to the Navier-Stokes equations. Pacific J. Maths 66, 535-552 (1976)
    • (1976) Pacific J. Maths , vol.66 , pp. 535-552
    • Scheffer, V.1
  • 17
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • CAFFARELLI, L., KOHN, R., NIRENBERG, L.: Partial regularity of suitable weak solutions of the Navier-Stokes equations. Comm. Pure & Appl. Math. 35, 771-831 (1982)
    • (1982) Comm. Pure & Appl. Math. , vol.35 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 18
    • 0000190618 scopus 로고    scopus 로고
    • Regularity and Integrability of 3D euler and Navier-Stokes equations for uniformly rotating fluids
    • BABIN, A., MAHALOV, A., NICOLAENKO, B.: Regularity and Integrability of 3D Euler and Navier-Stokes Equations for Uniformly Rotating Fluids. Asympt. Anal. 15,103-150 (1997)
    • (1997) Asympt. Anal. , vol.15 , pp. 103-150
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 19
    • 0038449701 scopus 로고    scopus 로고
    • Global regularity of 3D rotating Navier-Stokes equations for resonant domains
    • BABIN, A., MAHALOV, A., NICOLAENKO, B.: Global Regularity of 3D Rotating Navier-Stokes Equations for Resonant Domains. Indiana Univ. Math. J. 48, 1133-1176 (1999)
    • (1999) Indiana Univ. Math. J. , vol.48 , pp. 1133-1176
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 20
    • 0012408816 scopus 로고    scopus 로고
    • 3D Navier-Stokes and euler equations with initial data characterized by uniformly large vorticity
    • BABIN, A., MAHALOV, A., NICOLAENKO, B.: 3D Navier-Stokes and Euler Equations with Initial Data Characterized by Uniformly Large Vorticity. Indiana Univ. Math. J. 50, 1-35 (2001)
    • (2001) Indiana Univ. Math. J. , vol.50 , pp. 1-35
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 21
    • 84959586360 scopus 로고
    • Experiments on internal intermittency and fine-structure distribution functions in fully turbulent fluid
    • KUO, A. Y.-S., CORRSIN, S.: Experiments on internal intermittency and fine-structure distribution functions in fully turbulent fluid. J. Fluid Mech. 50, 285-320 (1971)
    • (1971) J. Fluid Mech. , vol.50 , pp. 285-320
    • Kuo, A.Y.-S.1    Corrsin, S.2
  • 22
    • 0000162260 scopus 로고
    • The laminar-turbulent transition in boundary layers
    • EMMONS H.W.: The laminar-turbulent transition in boundary layers. J. Aero Sci. 18, 490-498 (1951)
    • (1951) J. Aero Sci. , vol.18 , pp. 490-498
    • Emmons, H.W.1
  • 24
    • 20644468106 scopus 로고
    • Some fractal aspects of turbulence: Intermittency, dimension, kurtosis, and the spectral exponent 5/3 + B
    • (ed. R. Temam). Springer, Berlin
    • MANDELBROT, B.B.: Some fractal aspects of turbulence: intermittency, dimension, kurtosis, and the spectral exponent 5/3 + B. Proc. Journées Mathématiques sur la Turbulence Orsay (ed. R. Temam). Springer, Berlin, 1975
    • (1975) Proc. Journées Mathématiques Sur la Turbulence Orsay
    • Mandelbrot, B.B.1
  • 25
    • 0001149206 scopus 로고
    • Singularities of the equations of fluid motion
    • SREENIVASAN, K., MENEVEAU, C.: Singularities of the equations of fluid motion. Phys. Rev. A 38, 6287-6295 (1988)
    • (1988) Phys. Rev. A , vol.38 , pp. 6287-6295
    • Sreenivasan, K.1    Meneveau, C.2
  • 26
    • 0026123844 scopus 로고
    • The multifractal nature of turbulent energy dissipation
    • MENEVEAU, C., SREENIVASAN, K.: The multifractal nature of turbulent energy dissipation. J. Fluid Mech. 224, 429-484 (1991)
    • (1991) J. Fluid Mech. , vol.224 , pp. 429-484
    • Meneveau, C.1    Sreenivasan, K.2
  • 27
    • 0001543042 scopus 로고
    • Fractals and multifractals in fluid turbulence
    • SREENIVASAN, K.: Fractals and multifractals in fluid turbulence. Ann. Rev. Fluid Mech. 23, 539-600 (1991)
    • (1991) Ann. Rev. Fluid Mech. , vol.23 , pp. 539-600
    • Sreenivasan, K.1
  • 29
    • 0001075570 scopus 로고
    • Intermittency of dissipation in fully developed isotropic turbulence
    • HOSOKAWA, I., YAMATOTO, K.: Intermittency of dissipation in fully developed isotropic turbulence. J. Phys. Soc. Japan 59, 401-404 (1990)
    • (1990) J. Phys. Soc. Japan , vol.59 , pp. 401-404
    • Hosokawa, I.1    Yamatoto, K.2
  • 30
    • 0001042852 scopus 로고
    • Direct observation of the intermittency of intense vortex filaments in turbulence
    • DOUADY, S., COUDER, Y., BRACHET, M.E.: Direct observation of the intermittency of intense vortex filaments in turbulence. Phys. Rev. Letts. 67, 983 (1991)
    • (1991) Phys. Rev. Letts. , vol.67 , pp. 983
    • Douady, S.1    Couder, Y.2    Brachet, M.E.3
  • 31
    • 0028160271 scopus 로고
    • The dynamics of vorticity tubes of homogeneous turbulence
    • VINCENT, A., MENEGUZZI, M.: The dynamics of vorticity tubes of homogeneous turbulence. J. Fluid Mech. 258, 245-254 (1994)
    • (1994) J. Fluid Mech. , vol.258 , pp. 245-254
    • Vincent, A.1    Meneguzzi, M.2
  • 32
    • 0034536483 scopus 로고    scopus 로고
    • Self-amplification of the field of velocity derivatives in quasi-isotropic turbulence
    • erratum Phys. Fluids 13 1063 (2001)
    • GALANTI, B., TSINOBER, A.: Self-amplification of the field of velocity derivatives in quasi-isotropic turbulence. Phys. Fluids 12 3097-3099 (2000); erratum Phys. Fluids 13 1063 (2001)
    • (2000) Phys. Fluids , vol.12 , pp. 3097-3099
    • Galanti, B.1    Tsinober, A.2
  • 33
    • 2142824743 scopus 로고    scopus 로고
    • Vortex stretching versus production of strain/dissipation
    • (ed: Hunt J C R and Vassilicos J C). Cambridge: Cambridge University Press
    • TSINOBER, A.: Vortex stretching versus production of strain/dissipation (ed: Hunt J C R and Vassilicos J C). In: Turbulence Structure and Vortex Dynamics. Cambridge: Cambridge University Press, 2000, pp. 164-191
    • (2000) Turbulence Structure and Vortex Dynamics , pp. 164-191
    • Tsinober, A.1
  • 34
    • 0344769882 scopus 로고
    • Strained spiral vortex model for turbulent fine structure
    • LUNDGREN, T.: Strained spiral vortex model for turbulent fine structure. Phys. Fluids 25, 2193-2203 (1982)
    • (1982) Phys. Fluids , vol.25 , pp. 2193-2203
    • Lundgren, T.1
  • 35
    • 0001138977 scopus 로고
    • Fractal dimensions and spectra of interfaces with application to turbulence
    • VASSILICOS, J.C., HUNT, J.C.R.: Fractal Dimensions and Spectra of Interfaces with Application to Turbulence. Proc. R. Soc. Lond. A 435, 505-534 (1991)
    • (1991) Proc. R. Soc. Lond. A , vol.435 , pp. 505-534
    • Vassilicos, J.C.1    Hunt, J.C.R.2
  • 36
    • 0031250396 scopus 로고    scopus 로고
    • Accelerated scalar dissipation in a vortex
    • FLOHR, P., VASSILICOS, J.C.: Accelerated scalar dissipation in a vortex. J. Fluid Mech. 348, 295-317 (1997)
    • (1997) J. Fluid Mech. , vol.348 , pp. 295-317
    • Flohr, P.1    Vassilicos, J.C.2
  • 37
    • 0003792094 scopus 로고    scopus 로고
    • Spectra and dynamical properties of fractal and spiral fields
    • ANGILELLA, J.R., VASSILICOS, J.C.: Spectra and dynamical properties of fractal and spiral fields. Physica D 124, 23-57 (1998)
    • (1998) Physica D , vol.124 , pp. 23-57
    • Angilella, J.R.1    Vassilicos, J.C.2
  • 38
    • 0001230368 scopus 로고    scopus 로고
    • Time-dependent geometry and energy distribution in a spiral vortex layer
    • ANGILELLA, J.R., VASSILICOS, J.C.: Time-dependent geometry and energy distribution in a spiral vortex layer. Phys. Rev. E 59, 5427-5439 (1999)
    • (1999) Phys. Rev. E , vol.59 , pp. 5427-5439
    • Angilella, J.R.1    Vassilicos, J.C.2
  • 39
    • 0000751186 scopus 로고
    • Intermittency in nonlinear dynamics and singularities at complex times
    • FRISCH, U., MORF, R.: Intermittency in nonlinear dynamics and singularities at complex times. Phys. Rev. A 23, 2673-2705 (1981)
    • (1981) Phys. Rev. A , vol.23 , pp. 2673-2705
    • Frisch, U.1    Morf, R.2
  • 42
    • 0033133139 scopus 로고    scopus 로고
    • Statistical theory of gravity and capillary waves on the surface of finite-depth fluid
    • ZAKHAROV, V.E.: Statistical theory of gravity and capillary waves on the surface of finite-depth fluid. Eur. J. Mech B/Fluids 18, 327-344 (1999)
    • (1999) Eur. J. Mech B/Fluids , vol.18 , pp. 327-344
    • Zakharov, V.E.1
  • 44
    • 0032344639 scopus 로고    scopus 로고
    • A new proof of the Caffarelli, Kohn and Nirenberg theorem
    • LIN, F.: A new proof of the Caffarelli, Kohn and Nirenberg theorem. Commun. Pure Appl. Maths 51, 241-257 (1998)
    • (1998) Commun. Pure Appl. Maths , vol.51 , pp. 241-257
    • Lin, F.1
  • 45
    • 0001255802 scopus 로고    scopus 로고
    • On the singular set in the Navier-Stokes equations
    • CHOE, H.J., LEWIS, J.L.: On the singular set in the Navier-Stokes equations. J. Funct. Anal. 175, 348-369 (2000)
    • (2000) J. Funct. Anal. , vol.175 , pp. 348-369
    • Choe, H.J.1    Lewis, J.L.2
  • 46
    • 0000357415 scopus 로고
    • Length scales in solutions of the Navier-Stokes equations on a finite periodic domain
    • BARTUCCELLI, M.V., DOERING, C.R., GIBBON, J.D., MALHAM, S.: Length scales in solutions of the Navier-Stokes equations on a finite periodic domain. Nonlinearity 6, 549-568 (1993)
    • (1993) Nonlinearity , vol.6 , pp. 549-568
    • Bartuccelli, M.V.1    Doering, C.R.2    Gibbon, J.D.3    Malham, S.4
  • 47
    • 0037093148 scopus 로고    scopus 로고
    • Bounds on moments of the energy spectrum for weak solutions of the three-dimensional Navier-Stokes equations
    • DOERING, C.R., GIBBON, J.D.: Bounds on moments of the energy spectrum for weak solutions of the three-dimensional Navier-Stokes equations. Physica D 165, 163-175 (2002)
    • (2002) Physica D , vol.165 , pp. 163-175
    • Doering, C.R.1    Gibbon, J.D.2
  • 48
    • 0037430091 scopus 로고    scopus 로고
    • Intermittency in solutions of the three-dimensional Navier-Stokes equations
    • GIBBON, J.D., DOERING, C.R.: Intermittency in solutions of the three-dimensional Navier-Stokes equations. J. Fluid Mech. 478, 227-235 (2003)
    • (2003) J. Fluid Mech. , vol.478 , pp. 227-235
    • Gibbon, J.D.1    Doering, C.R.2
  • 49
    • 0037174473 scopus 로고    scopus 로고
    • Energy dissipation in body-forced turbulence
    • DOERING, C.R., FOIAS, C.: Energy dissipation in body-forced turbulence. J. Fluid Mech. 467, 289-306 (2002)
    • (2002) J. Fluid Mech. , vol.467 , pp. 289-306
    • Doering, C.R.1    Foias, C.2
  • 51
    • 0002301013 scopus 로고
    • Ladder theorems for the 2d and 3d Navier-Stokes equations on a finite periodic domain
    • BARTUCCELLI, M.V., DOERING, C.R., GIBBON, J.D.: Ladder theorems for the 2d and 3d Navier-Stokes equations on a finite periodic domain. Nonlinearity 4, 531-542 (1991)
    • (1991) Nonlinearity , vol.4 , pp. 531-542
    • Bartuccelli, M.V.1    Doering, C.R.2    Gibbon, J.D.3
  • 52
    • 0023999086 scopus 로고    scopus 로고
    • On the dimension of the attractors in two-dimensional turbulence
    • CONSTANTIN, P., FOIAS, C., TEMAM, R.: On the dimension of the attractors in two-dimensional turbulence. Physica D 30, 284-296 (1998)
    • (1998) Physica D , vol.30 , pp. 284-296
    • Constantin, P.1    Foias, C.2    Temam, R.3
  • 53
    • 0000646281 scopus 로고
    • Upper bounds for the number of determining modes, nodes and volume elements for the Navier-Stokes equations
    • JONES, D.S., TITI, E.T.: Upper bounds for the number of determining modes, nodes and volume elements for the Navier-Stokes equations. Indiana Univ. Math. J. 42, 875-887 (1993)
    • (1993) Indiana Univ. Math. J. , vol.42 , pp. 875-887
    • Jones, D.S.1    Titi, E.T.2
  • 54
    • 0035873331 scopus 로고    scopus 로고
    • The Navier-Stokes α-model of fluid turbulence
    • Special Issue in Honor of V. E. Zakharov on the Occasion of His 60th Birthday
    • FOIAS, C., HOLM, D.D., TITI, E.S.: The Navier-Stokes α-model of fluid turbulence. Physica D (Special Issue in Honor of V. E. Zakharov on the Occasion of His 60th Birthday) D152, 505-519 (2001)
    • (2001) Physica D , vol.D152 , pp. 505-519
    • Foias, C.1    Holm, D.D.2    Titi, E.S.3
  • 55
    • 36749037534 scopus 로고    scopus 로고
    • The three dimensional viscous Camassa-Holm equations and their relation to the Navier-Stokes equations and turbulence theory
    • FOIAS, C., HOLM, D.D., TITI, E.S.: The three dimensional viscous Camassa-Holm equations and their relation to the Navier-Stokes equations and turbulence theory. J. Dyn. Diff. Eqns 14, 1-35 (2002)
    • (2002) J. Dyn. Diff. Eqns , vol.14 , pp. 1-35
    • Foias, C.1    Holm, D.D.2    Titi, E.S.3
  • 57
    • 0000922548 scopus 로고
    • On the possibility of soft and hard turbulence in the complex Ginzburg Landau equation
    • BARTUCCELLI, M., CONSTANTIN, P., DOERING, C.R., GIBBON, J.D., GISSELFALT, M.: On the possibility of soft and hard turbulence in the complex Ginzburg Landau equation. Physica D 44, 421-444 (1990)
    • (1990) Physica D , vol.44 , pp. 421-444
    • Bartuccelli, M.1    Constantin, P.2    Doering, C.R.3    Gibbon, J.D.4    Gisselfalt, M.5
  • 58
    • 22244466122 scopus 로고    scopus 로고
    • Length scales in solutions of the complex Ginzburg Landau equation
    • BARTUCCELLI, M., GIBBON, J.D., OLIVER, M.: Length scales in solutions of the complex Ginzburg Landau equation. Physica D 89, 267-286 (1996)
    • (1996) Physica D , vol.89 , pp. 267-286
    • Bartuccelli, M.1    Gibbon, J.D.2    Oliver, M.3
  • 59
    • 0016602026 scopus 로고
    • Bounds on energy flux for finite energy turbulence
    • SULEM, P.-L., FRISCH, U.: Bounds on energy flux for finite energy turbulence. J. Fluid Mech. 72, 417-424 (1975)
    • (1975) J. Fluid Mech. , vol.72 , pp. 417-424
    • Sulem, P.-L.1    Frisch, U.2
  • 60
    • 0001250839 scopus 로고
    • A simple dynamical model of intermittent fully developed turbulence
    • FRISCH, U., SULEM, P.-L., NELKIN, M.: A simple dynamical model of intermittent fully developed turbulence. J. Fluid Mech. 87, 719-736 (1978)
    • (1978) J. Fluid Mech. , vol.87 , pp. 719-736
    • Frisch, U.1    Sulem, P.-L.2    Nelkin, M.3
  • 61
    • 0022264632 scopus 로고
    • On the fine-scale intermittency of turbulence
    • SREENIVASAN, K.: On the fine-scale intermittency of turbulence. J. Fluid Mech. 151, 81-103 (1985)
    • (1985) J. Fluid Mech. , vol.151 , pp. 81-103
    • Sreenivasan, K.1
  • 62
    • 0000594053 scopus 로고    scopus 로고
    • Correlation functions in isotropic and anisotropic turbulence: The role of the symmetry group
    • ARAD, I., L'VOV, V.S., PROCACCIA, I.: Correlation Functions in Isotropic and Anisotropic Turbulence: the Role of the Symmetry Group. Phys. Rev. E 59, 6753-6765 (1999)
    • (1999) Phys. Rev. E , vol.59 , pp. 6753-6765
    • Arad, I.1    L'vov, V.S.2    Procaccia, I.3
  • 63
    • 0032606418 scopus 로고    scopus 로고
    • Disentangling scaling properties in anisotropic and inhomogeneous turbulence
    • ARAD, I., BIFERALE, L., MAZZITELLI, I., PROCACCIA, I.: Disentangling Scaling Properties in Anisotropic and Inhomogeneous Turbulence. Phys. Rev. Lett 82, 5040 (1999)
    • (1999) Phys. Rev. Lett , vol.82 , pp. 5040
    • Arad, I.1    Biferale, L.2    Mazzitelli, I.3    Procaccia, I.4


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