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Volumn 227, Issue 2, 2002, Pages 281-302

Super-diffusivity in a shear flow model from perpetual homogenization

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EID: 0036591073     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200200640     Document Type: Article
Times cited : (12)

References (29)
  • 1
    • 0013304695 scopus 로고    scopus 로고
    • Homogenization and renormalization, the mathematics of multi-scale random media and turbulent diffusion
    • Avellaneda, M.: Homogenization and renormalization, the mathematics of multi-scale random media and turbulent diffusion. Lectures in Applied Mathematics, Volume 31, 1996, pp. 251-268
    • (1996) Lectures in Applied Mathematics , vol.31 , pp. 251-268
    • Avellaneda, M.1
  • 3
    • 5244340276 scopus 로고
    • Mathematical models with exact renormalization for turbulent transport
    • 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
    • 84874530889 scopus 로고
    • Diffusion in a field of homogeneous turbulence ii. The relative motion of particles
    • Batchelor, G.: Diffusion in a field of homogeneous turbulence ii. The relative motion of particles. Proc. Cambridge Philos. Soc. 48. 345 (1952)
    • (1952) Proc. Cambridge Philos. Soc. , vol.48 , pp. 345
    • Batchelor, G.1
  • 6
    • 0033261155 scopus 로고    scopus 로고
    • Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media
    • Bhattacharya, R.: Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media. Ann. Appl. Probab. 9(4), 951-1020 (1999)
    • (1999) Ann. Appl. Probab. , vol.9 , Issue.4 , pp. 951-1020
    • Bhattacharya, R.1
  • 7
    • 0013197322 scopus 로고    scopus 로고
    • Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales
    • Bhattacharya, R., Denker, M., Goswami, A.: Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Stoch. Processes and their Appl. 80, 55-86 (1999)
    • (1999) Stoch. Processes and their Appl. , vol.80 , pp. 55-86
    • Bhattacharya, R.1    Denker, M.2    Goswami, A.3
  • 9
    • 0034310124 scopus 로고    scopus 로고
    • Fractional brownian motion limit for motions in turbulence
    • 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
  • 10
    • 0028416333 scopus 로고
    • Convection enhanced diffusion for periodic flows
    • Fannjiang, A., Papanicolaou, G.: 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.2
  • 12
    • 0013198368 scopus 로고
    • Multiple length scale calculus of mixing lenght growth in tracer floods
    • Kovarik, F., ed., Houston TX, Institute for Improved Oil Recovery
    • Furtado, F., Glimm, J., Lindquist, B., Pereira, F.: Multiple length scale calculus of mixing lenght growth in tracer floods. Kovarik, F., ed., Proceeding of the emerging technologies conference, Houston TX, Institute for Improved Oil Recovery, 1990, pp. 251-259.
    • (1990) Proceeding of the Emerging Technologies Conference , pp. 251-259
    • Furtado, F.1    Glimm, J.2    Lindquist, B.3    Pereira, F.4
  • 14
    • 0032222164 scopus 로고    scopus 로고
    • Scaling laws and convergence for the advection-diffusion equation
    • 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
  • 15
    • 0013298633 scopus 로고
    • The multi-fractal hypothesis and anomalous diffusion
    • 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
  • 16
    • 0000351411 scopus 로고
    • Inertial range scaling of laminar shear flow as a model of turbulent transport
    • 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
  • 17
    • 0013197549 scopus 로고
    • Statistical topography, ii. Two-dimensional transport of a passive scalar
    • Isichenko, M.. 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.1    Kalda, J.2
  • 18
    • 0002346018 scopus 로고
    • The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers
    • Kolmogorov, A.: The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dokl. Akad. Nauk SSSR 4(30), 9-13 (1941)
    • (1941) Dokl. Akad. Nauk SSSR , vol.4 , Issue.30 , pp. 9-13
    • Kolmogorov, A.1
  • 21
    • 0031261349 scopus 로고    scopus 로고
    • Long-time behaviour of heat flow: Global estimates and exact asymptotics
    • Norris, J.: Long-time behaviour of heat flow: Global estimates and exact asymptotics. Arch. Rational Mech. Anal. 140, 161-195 (1997)
    • (1997) Arch. Rational Mech. Anal. , vol.140 , pp. 161-195
    • Norris, J.1
  • 22
    • 0000485178 scopus 로고
    • On the distribution of energy in the spectrum of turbulent flow
    • Obukhov, A.: On the distribution of energy in the spectrum of turbulent flow. Izv. Akad. Nauk SSSR Ser. Georg. Geofiz. 5, 453 (1941)
    • (1941) Izv. Akad. Nauk SSSR Ser. Georg. Geofiz. , vol.5 , pp. 453
    • Obukhov, A.1
  • 23
    • 0013199902 scopus 로고
    • Homogenization of diffusion processes in random fields
    • Cours Ecole Polytechnique
    • Olla, S.: Homogenization of Diffusion, Processes in Random Fields. Ecole Polytechnique (1994). Cours Ecole Polytechnique
    • (1994) Ecole Polytechnique
    • Olla, S.1
  • 24
    • 0013198369 scopus 로고    scopus 로고
    • Ph.D. thesis, EPFL - Swiss Federal Institute of Technology. Thesis no 2340. January 2001
    • Owhadi, H.: Anomalous diffusion and homogenization on an infinite number of scales. Ph.D. thesis, EPFL - Swiss Federal Institute of Technology (2001). Thesis no 2340. January 2001. Available at http://dmawww.epfl.ch/̃owhadi/
    • (2001) Anomalous Diffusion and Homogenization on an Infinite Number of Scales
    • Owhadi, H.1
  • 27
    • 0000917473 scopus 로고
    • Atmosphere diffusion shown on a distance-neighbour graph
    • Richardson, L. F.: Atmosphere diffusion shown on a distance-neighbour graph. Proc. R. Soc. London. Ser A 110, 709 (1926)
    • (1926) Proc. R. Soc. London. Ser A , vol.110 , pp. 709
    • Richardson, L.F.1
  • 28
    • 0001458131 scopus 로고
    • A multi-scale theory of the anomalous mixing length growth for tracer flow in heterogeneous porous media
    • Zhung, 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
    • Zhung, Q.1


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