메뉴 건너뛰기




Volumn 248, Issue 4, 2010, Pages 792-819

Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence

Author keywords

Enstrophy cascade; Navier Stokes equations; Turbulence

Indexed keywords


EID: 73549114234     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2009.11.020     Document Type: Article
Times cited : (32)

References (22)
  • 1
    • 0002894836 scopus 로고
    • The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers
    • translated from Russian by V. Levin, Turbulence and stochastic processes: Kolmogorov's ideas 50 years on
    • Kolmogorov A.N. The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Proc. R. Soc. Lond. Ser. A 434 1890 (1991) 9-13 translated from Russian by V. Levin, Turbulence and stochastic processes: Kolmogorov's ideas 50 years on
    • (1991) Proc. R. Soc. Lond. Ser. A , vol.434 , Issue.1890 , pp. 9-13
    • Kolmogorov, A.N.1
  • 2
    • 0004003651 scopus 로고
    • Cambridge University Press, Cambridge reprint, Cambridge Science Classics
    • Batchelor G.K. The Theory of Homogeneous Turbulence (1982), Cambridge University Press, Cambridge reprint, Cambridge Science Classics
    • (1982) The Theory of Homogeneous Turbulence
    • Batchelor, G.K.1
  • 3
    • 36849114603 scopus 로고
    • Inertial ranges in two-dimensional turbulence
    • Kraichnan R.H. Inertial ranges in two-dimensional turbulence. Phys. Fluids 10 (1967) 1417-1423
    • (1967) Phys. Fluids , vol.10 , pp. 1417-1423
    • Kraichnan, R.H.1
  • 4
    • 36849098456 scopus 로고
    • Diffusion approximation for two-dimensional turbulence
    • Leith C.E. Diffusion approximation for two-dimensional turbulence. Phys. Fluids 11 (1968) 671-673
    • (1968) Phys. Fluids , vol.11 , pp. 671-673
    • Leith, C.E.1
  • 5
    • 0038642150 scopus 로고    scopus 로고
    • Energy and enstrophy transfer in decaying two-dimensional turbulence
    • Rivera M.K., Daniel W.B., Chen S.Y., and Ecke R.E. Energy and enstrophy transfer in decaying two-dimensional turbulence. Phys. Rev. Lett. 90 10 (March 2003) 104502
    • (2003) Phys. Rev. Lett. , vol.90 , Issue.10 , pp. 104502
    • Rivera, M.K.1    Daniel, W.B.2    Chen, S.Y.3    Ecke, R.E.4
  • 7
    • 0036090156 scopus 로고    scopus 로고
    • Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence
    • Foias C., Jolly M.S., Manley O.P., and Rosa R. Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence. J. Stat. Phys. 108 3-4 (2002) 591-645
    • (2002) J. Stat. Phys. , vol.108 , Issue.3-4 , pp. 591-645
    • Foias, C.1    Jolly, M.S.2    Manley, O.P.3    Rosa, R.4
  • 8
    • 11744318495 scopus 로고
    • Lyapunov spectrum of a model of two-dimensional turbulence
    • Yamada M., and Ohkitani K. Lyapunov spectrum of a model of two-dimensional turbulence. Phys. Rev. Lett. 60 11 (March 1988) 983-986
    • (1988) Phys. Rev. Lett. , vol.60 , Issue.11 , pp. 983-986
    • Yamada, M.1    Ohkitani, K.2
  • 9
    • 0039407011 scopus 로고
    • An example of absence of turbulence for any Reynolds number. II
    • Marchioro C. An example of absence of turbulence for any Reynolds number. II. Comm. Math. Phys. 108 4 (1987) 647-651
    • (1987) Comm. Math. Phys. , vol.108 , Issue.4 , pp. 647-651
    • Marchioro, C.1
  • 10
    • 0000073888 scopus 로고
    • Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence
    • Constantin P., Foias C., and Manley O.P. Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence. Phys. Fluids 6 1 (1994) 427-429
    • (1994) Phys. Fluids , vol.6 , Issue.1 , pp. 427-429
    • Constantin, P.1    Foias, C.2    Manley, O.P.3
  • 11
    • 27844533503 scopus 로고    scopus 로고
    • Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations
    • Dascaliuc R., Foias C., and Jolly M.S. Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations. J. Dynam. Differential Equations 17 4 (2005) 643-736
    • (2005) J. Dynam. Differential Equations , vol.17 , Issue.4 , pp. 643-736
    • Dascaliuc, R.1    Foias, C.2    Jolly, M.S.3
  • 12
    • 34250669469 scopus 로고    scopus 로고
    • Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane
    • 33
    • Dascaliuc R., Foias C., and Jolly M.S. Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane. J. Math. Phys. 48 6 (2007) 065201 33
    • (2007) J. Math. Phys. , vol.48 , Issue.6 , pp. 065201
    • Dascaliuc, R.1    Foias, C.2    Jolly, M.S.3
  • 13
    • 2842531292 scopus 로고
    • Turbulent bursts, inertial sets and symmetry-breaking homoclinic cycles in periodic Navier-Stokes flows
    • Turbulence in Fluid Flows, Springer, New York
    • Nicolaenko B., and She Z.-S. Turbulent bursts, inertial sets and symmetry-breaking homoclinic cycles in periodic Navier-Stokes flows. Turbulence in Fluid Flows. IMA Vol. Math. Appl. vol. 55 (1993), Springer, New York 123-136
    • (1993) IMA Vol. Math. Appl. , vol.55 , pp. 123-136
    • Nicolaenko, B.1    She, Z.-S.2
  • 14
    • 33646920117 scopus 로고    scopus 로고
    • Links between dissipation, intermittency, and helicity in the GOY model revisited
    • Bowman J., Doering C.R., Eckhardt B., Davoudi J., Roberts M., and Schumacher J. Links between dissipation, intermittency, and helicity in the GOY model revisited. Phys. D 218 1 (2006) 1-10
    • (2006) Phys. D , vol.218 , Issue.1 , pp. 1-10
    • Bowman, J.1    Doering, C.R.2    Eckhardt, B.3    Davoudi, J.4    Roberts, M.5    Schumacher, J.6
  • 15
    • 0000751186 scopus 로고
    • Intermittency in nonlinear dynamics and singularities at complex times
    • Frisch U., and Morf R. Intermittency in nonlinear dynamics and singularities at complex times. Phys. Rev. A 23 (1981) 2673-2705
    • (1981) Phys. Rev. A , vol.23 , pp. 2673-2705
    • Frisch, U.1    Morf, R.2
  • 16
    • 34250680031 scopus 로고    scopus 로고
    • Estimates for the two-dimensional Navier-Stokes equations in terms of the Reynolds number
    • 14
    • Gibbon J.D., and Pavliotis G.A. Estimates for the two-dimensional Navier-Stokes equations in terms of the Reynolds number. J. Math. Phys. 48 6 (2007) 065202 14
    • (2007) J. Math. Phys. , vol.48 , Issue.6 , pp. 065202
    • Gibbon, J.D.1    Pavliotis, G.A.2
  • 17
    • 15244351806 scopus 로고    scopus 로고
    • Kraichnan turbulence via finite time averages
    • Foias C., Jolly M.S., and Manley O.P. Kraichnan turbulence via finite time averages. Comm. Math. Phys. 255 2 (2005) 329-361
    • (2005) Comm. Math. Phys. , vol.255 , Issue.2 , pp. 329-361
    • Foias, C.1    Jolly, M.S.2    Manley, O.P.3
  • 18
    • 0003241585 scopus 로고
    • Navier-Stokes Equations
    • University of Chicago Press, Chicago, IL
    • Constantin P., and Foias C. Navier-Stokes Equations. Chicago Lectures in Math. (1988), University of Chicago Press, Chicago, IL
    • (1988) Chicago Lectures in Math.
    • Constantin, P.1    Foias, C.2
  • 19
    • 0003246899 scopus 로고    scopus 로고
    • Infinite-Dimensional Dynamical Systems in Mechanics and Physics
    • Springer-Verlag, New York
    • Temam R. Infinite-Dimensional Dynamical Systems in Mechanics and Physics. Appl. Math. Sci. second edition vol. 68 (1997), Springer-Verlag, New York
    • (1997) Appl. Math. Sci. second edition , vol.68
    • Temam, R.1
  • 20
    • 0002651817 scopus 로고
    • La théorie générale de la mesure dans son application à l'étude des systèmes dynamiques de la mécanique non linéaire
    • Kryloff N., and Bogoliouboff N. La théorie générale de la mesure dans son application à l'étude des systèmes dynamiques de la mécanique non linéaire. Ann. of Math. (2) 38 1 (1937) 65-113
    • (1937) Ann. of Math. (2) , vol.38 , Issue.1 , pp. 65-113
    • Kryloff, N.1    Bogoliouboff, N.2
  • 21
    • 21844483135 scopus 로고
    • Exponential decay of the power spectrum of turbulence
    • Bercovici H., Constantin P., Foias C., and Manley O.P. Exponential decay of the power spectrum of turbulence. J. Stat. Phys. 80 3-4 (1995) 579-602
    • (1995) J. Stat. Phys. , vol.80 , Issue.3-4 , pp. 579-602
    • Bercovici, H.1    Constantin, P.2    Foias, C.3    Manley, O.P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.