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Volumn 247, Issue 3, 2004, Pages 553-599

Averaging versus chaos in turbulent transport?

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EID: 2942746443     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1069-8     Document Type: Article
Times cited : (7)

References (36)
  • 3
    • 5244340276 scopus 로고
    • Mathematical models with exact renormalization for turbulent transport
    • [AM90]
    • [AM90] Avellaneda, M., Majda, A.: Mathematical models with exact renormalization for turbulent transport. Commun. Math. Phys. 131, 381-429 (1990)
    • (1990) Commun. Math. Phys. , vol.131 , pp. 381-429
    • Avellaneda, M.1    Majda, A.2
  • 4
    • 0000705763 scopus 로고
    • An integral representation and bounds on the effective diffusiv-ity in passive advection by laminar and turbulent flows
    • [AM91]
    • [AM91 ] Avellaneda, M., Majda, A.J.: An integral representation and bounds on the effective diffusiv-ity in passive advection by laminar and turbulent flows. Commun. Math. Phys. 138, 339-391 (1991)
    • (1991) Commun. Math. Phys. , vol.138 , pp. 339-391
    • Avellaneda, M.1    Majda, A.J.2
  • 5
    • 0013304695 scopus 로고    scopus 로고
    • Homogenization and renormalization, the mathematics of multi-scale random media and turbulent diffusion
    • [Ave96]
    • [Ave96] Avellaneda, M.: Homogenization and renormalization, the mathematics of multi-scale random media and turbulent diffusion. In: Lectures in Applied Mathematics, Volume 31, 1996, pp. 251-268
    • (1996) Lectures in Applied Mathematics , vol.31 , pp. 251-268
    • Avellaneda, M.1
  • 6
    • 0033261155 scopus 로고    scopus 로고
    • Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media
    • [Bha99]
    • [Bha99] Rabi Bhattacharya: Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media. The Annals of Appl. Probab. 9(4), 951-1020 (1999)
    • (1999) The Annals of Appl. Probab. , vol.9 , Issue.4 , pp. 951-1020
    • Bhattacharya, R.1
  • 8
    • 26344456716 scopus 로고    scopus 로고
    • Multi-scale homogenization with bounded ratios and anomalous slow diffusion
    • [BO02a]
    • [BO02a] Gérard, Ben Arous, Houman, Owhadi: Multi-scale homogenization with bounded ratios and anomalous slow diffusion. Commun. Pure and App. Math. XV, 1-34 (2002)
    • (2002) Commun. Pure and App. Math. , vol.15 , pp. 1-34
    • Gérard, B.A.1    Houman, O.2
  • 9
    • 0036591073 scopus 로고    scopus 로고
    • Super-diffusivity in a shear flow model from perpetual homogenization
    • [BO02b]
    • [BO02b] Gérard, Ben Arous, Houman, Owhadi: Super-diffusivity in a shear flow model from perpetual homogenization. Commun. Math. Phys. 227(2), 281-302 (2002)
    • (2002) Commun. Math. Phys. , vol.227 , Issue.2 , pp. 281-302
    • Gérard, B.A.1    Houman, O.2
  • 10
    • 0018662931 scopus 로고
    • Alpha-effect in flux ropes and sheets
    • [Chi79]
    • [Chi79] Childress, S.: Alpha-effect in flux ropes and sheets. Phys. Earth Planet Intern. 20, 172-180 (1979)
    • (1979) Phys. Earth Planet Intern. , vol.20 , pp. 172-180
    • Childress, S.1
  • 11
    • 0001041602 scopus 로고    scopus 로고
    • Annealed large deviations for diffusions in a random Gaussian shear flow drift
    • [CP01]
    • [CP01] Castell, F., Pradeilles, F.: Annealed large deviations for diffusions in a random Gaussian shear flow drift. Stock. Process. Appl. 94(2), 171-197 (2001)
    • (2001) Stock. Process. Appl. , vol.94 , Issue.2 , pp. 171-197
    • Castell, F.1    Pradeilles, F.2
  • 12
    • 2942738867 scopus 로고    scopus 로고
    • Turbulence, fractals, and mixing
    • [DC97] NATO Advanced Studies Institute series, Mixing: Chaos and Turbulence (7-20 July 1996, Corsica, France), Available as GALCIT Report FM97-1
    • [DC97] Dimotakis, P. E., Catrakis, H. J.: Turbulence, fractals, and mixing. Technical report, NATO Advanced Studies Institute series, Mixing: Chaos and Turbulence (7-20 July 1996, Corsica, France), 1997. Available as GALCIT Report FM97-1
    • (1997) Technical Report
    • Dimotakis, P.E.1    Catrakis, H.J.2
  • 15
    • 0034310124 scopus 로고    scopus 로고
    • Fractional brownian motion limit for motions in turbulence
    • [FK01]
    • [FK01] Fannjiang, A., Komorowski, T.: Fractional brownian motion limit for motions in turbulence. Ann. of Appl. Prob. 10(4), (2001)
    • (2001) Ann. of Appl. Prob. , vol.10 , Issue.4
    • Fannjiang, A.1    Komorowski, T.2
  • 16
    • 0028416333 scopus 로고
    • Convection enhanced diffusion for periodic flows
    • [FP94]
    • [FP94] Fannjiang, A., Papanicolaou, G.C.: Convection enhanced diffusion for periodic flows. SIAM J. Appl. Math. 54, 333-408 (1994)
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 333-408
    • Fannjiang, A.1    Papanicolaou, G.C.2
  • 17
    • 0032222164 scopus 로고    scopus 로고
    • Scaling laws and convergence for the advection-diffusion equation
    • [Gau98]
    • [Gau98] Gaudron, G.: Scaling laws and convergence for the advection-diffusion equation. Ann. of Appl. Prob. 8, 649-663 (1998)
    • (1998) Ann. of Appl. Prob. , vol.8 , pp. 649-663
    • Gaudron, G.1
  • 18
    • 0001501957 scopus 로고    scopus 로고
    • Anomalous scaling of the passive scalar
    • [GK98]
    • [GK98] Gawedzki, K., Kupiainen, A.: Anomalous scaling of the passive scalar. Phys. Rev. Lett. 75, 3834-3837 (1998)
    • (1998) Phys. Rev. Lett. , vol.75 , pp. 3834-3837
    • Gawedzki, K.1    Kupiainen, A.2
  • 19
    • 0013298633 scopus 로고
    • The multi-fractal hypothesis and anomalous diffusion
    • [GLPP92]
    • [GLPP92] Glimm, J., Lindquist, B., Pereira, F., Peierls, R.: The multi-fractal hypothesis and anomalous diffusion. Mat. Apl. Comput. 11(2), 189-207 (1992)
    • (1992) Mat. Apl. Comput. , vol.11 , Issue.2 , pp. 189-207
    • Glimm, J.1    Lindquist, B.2    Pereira, F.3    Peierls, R.4
  • 20
    • 0000351411 scopus 로고
    • Inertial range scaling of laminar shear flow as a model of turbulent transport
    • [GZ92]
    • [GZ92] Glimm, J., Zhang, Q.: Inertial range scaling of laminar shear flow as a model of turbulent transport. Commun. Math. Phys. 146, 217-229 (1992)
    • (1992) Commun. Math. Phys. , vol.146 , pp. 217-229
    • Glimm, J.1    Zhang, Q.2
  • 21
    • 0013197549 scopus 로고
    • Statistical topography, ii. Two-dimensional transport of a passive scalar
    • [IK91]
    • [IK91] Isichenko, M.B., Kalda, J.: Statistical topography, ii. two-dimensional transport of a passive scalar. J. Nonlinear Sci. 1, 375-396 (1991)
    • (1991) J. Nonlinear Sci. , vol.1 , pp. 375-396
    • Isichenko, M.B.1    Kalda, J.2
  • 23
    • 0036092856 scopus 로고    scopus 로고
    • On the superdiffusive behavior of passive tracer with a gaussian drift
    • [KO02]
    • [KO02] Komorowski, T., Olla, S.: On the superdiffusive behavior of passive tracer with a gaussian drift. Journ. Stat. Phys. 108, 647-668 (2002)
    • (2002) Journ. Stat. Phys. , vol.108 , pp. 647-668
    • Komorowski, T.1    Olla, S.2
  • 24
    • 0002456153 scopus 로고
    • A limit theorem related to a new class of self-similar processes
    • [KS79]
    • [KS79] Kesten, H., Spitzer, F.: A limit theorem related to a new class of self-similar processes. Z. Wahrsch. Verw. Gebiete 50(1), 5-25 (1979)
    • (1979) Z. Wahrsch. Verw. Gebiete , vol.50 , Issue.1 , pp. 5-25
    • Kesten, H.1    Spitzer, F.2
  • 26
    • 0001253780 scopus 로고
    • p-estimate for the gradient of solutions of second order elliptic divergence equations
    • [Mey63]
    • p-estimate for the gradient of solutions of second order elliptic divergence equations. Ann. Scula Norm. Sup. Pisa 17, 189-206 (1963)
    • (1963) Ann. Scula Norm. Sup. Pisa , vol.17 , pp. 189-206
    • Meyers, N.G.1
  • 27
    • 0347601794 scopus 로고    scopus 로고
    • Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena
    • [MK99]
    • [MK99] Majda, A.J., Kramer, P.R.: Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena. Phys. Rep. 314, 237-574 (1999). Available at http://www.elsevier.nl/locate/physrep
    • (1999) Phys. Rep. , vol.314 , pp. 237-574
    • Majda, A.J.1    Kramer, P.R.2
  • 28
    • 0031261349 scopus 로고    scopus 로고
    • Long-time behaviour of heat flow: Global estimates and exact asymptotics
    • [Nor97]
    • [Nor97] Norris, J.R.: Long-time behaviour of heat flow: Global estimates and exact asymptotics. Arch. Rat. Mech. Anal. 140, 161-195 (1997)
    • (1997) Arch. Rat. Mech. Anal. , vol.140 , pp. 161-195
    • Norris, J.R.1
  • 31
    • 0001091413 scopus 로고    scopus 로고
    • Short-correlation approximation in models of turbulent diffusion
    • [Pit97] of IMA Vol. Math. Appl., New York: Springer
    • [Pit97] Piterbarg, L.: Short-correlation approximation in models of turbulent diffusion. In: Stochastic models in geosystems (Minneapolis, MN, 1994), Volume 85, of IMA Vol. Math. Appl., New York: Springer, 1997, pp. 313-352
    • (1997) Stochastic Models in Geosystems (Minneapolis, MN, 1994) , vol.85 , pp. 313-352
    • Piterbarg, L.1
  • 33
    • 0000195746 scopus 로고
    • Le problème de dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
    • [Sta65]
    • [Sta65] Stampacchia, G.: Le problème de dirichlet pour les équations elliptiques du second ordre à coefficients discontinus. Ann. Inst. Fourier (Grenoble), 15(1), 189-258 (1965)
    • (1965) Ann. Inst. Fourier (Grenoble) , vol.15 , Issue.1 , pp. 189-258
    • Stampacchia, G.1
  • 35
    • 84967387891 scopus 로고    scopus 로고
    • Passive tracer transport in stochastic flows
    • [Woy00] Boston Birkhäuser-Boston
    • [Woy00] Woyczynski, W. A.: Passive tracer transport in stochastic flows. In: Stochastic Climate Models, Boston Birkhäuser-Boston, 2000, p. 16
    • (2000) Stochastic Climate Models , pp. 16
    • Woyczynski, W.A.1
  • 36
    • 0001458131 scopus 로고
    • A multi-scale theory of the anomalous mixing length growth for tracer flow in heterogeneous porous media
    • [Zha92]
    • [Zha92] Zhang, Q.: A multi-scale theory of the anomalous mixing length growth for tracer flow in heterogeneous porous media. J. Stat. Phys. 505, 485-501 (1992)
    • (1992) J. Stat. Phys. , vol.505 , pp. 485-501
    • Zhang, Q.1


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