메뉴 건너뛰기




Volumn 48, Issue 6, 2007, Pages

Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34250669469     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2710349     Document Type: Article
Times cited : (11)

References (24)
  • 1
    • 33750354561 scopus 로고    scopus 로고
    • Energy and enstrophy dissipation in steady state 2D turbulence
    • A. Alexakis and C. R. Doering, " Energy and enstrophy dissipation in steady state 2D turbulence., " Phys. Lett. A 359, 652-657 (2006).
    • (2006) Phys. Lett. A , vol.359 , pp. 652-657
    • Alexakis, A.1    Doering, C.R.2
  • 2
    • 0001891382 scopus 로고    scopus 로고
    • Inverse energy cascade in two-dimensional turbulence: Deviations from Gaussian behavior
    • G. Boffetta, A. Celani, and M. Vergassola, " Inverse energy cascade in two-dimensional turbulence: Deviations from Gaussian behavior., " Phys. Rev. E. 61, 29-32 (2000).
    • (2000) Phys. Rev. e , pp. 29-32
    • Boffetta, G.1    Celani, A.2    Vergassola, M.3
  • 3
    • 0000489924 scopus 로고
    • Inverse cascade in stationary two-dimensional turbulence
    • V. Borue, " Inverse cascade in stationary two-dimensional turbulence., " Phys. Rev. Lett. 72, 1475-1478 (1994).
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 1475-1478
    • Borue, V.1
  • 6
    • 0003545358 scopus 로고
    • Chicago Lectures in Mathematics (University of Chicago Press, Chicago, IL
    • P. Constantin and C. Foias, Navier-Stokes Equations, Chicago Lectures in Mathematics (University of Chicago Press, Chicago, IL, 1988).
    • (1988) Navier-Stokes Equations
    • Constantin, P.1    Foias, C.2
  • 7
    • 0000073888 scopus 로고
    • Effects of the forcing function spectrum on the energy spectrum in 2D turbulence
    • P. Constantin, C. Foias, and O. P. Manley, " Effects of the forcing function spectrum on the energy spectrum in 2D turbulence., " Phys. Fluids 6, 427-429 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 427-429
    • Constantin, P.1    Foias, C.2    Manley, O.P.3
  • 8
    • 27844533503 scopus 로고    scopus 로고
    • Relations between energy and enstrophy on the global attractor of the 2D Navier-Stokes equations
    • R. Dascaliuc, C. Foias, and M. Jolly, " Relations between energy and enstrophy on the global attractor of the 2D Navier-Stokes equations., " J. Dyn. Differ. Equ. 17, 643-736 (2005).
    • (2005) J. Dyn. Differ. Equ. , vol.17 , pp. 643-736
    • Dascaliuc, R.1    Foias, C.2    Jolly, M.3
  • 10
    • 11144331570 scopus 로고    scopus 로고
    • On the behavior of the Lorenz equation backward in time
    • C. Foias and M. S. Jolly, " On the behavior of the Lorenz equation backward in time., " J. Differ. Equations 208, 430-448 (2005).
    • (2005) J. Differ. Equations , vol.208 , pp. 430-448
    • Foias, C.1    Jolly, M.S.2
  • 11
    • 0036090156 scopus 로고    scopus 로고
    • Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2D fully developed turbulence
    • C. Foias, M. S. Jolly, O. P. Manley, and R. Rosa, " Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2D fully developed turbulence., " J. Stat. Phys. 108, 591-645 (2002).
    • (2002) J. Stat. Phys. , vol.108 , pp. 591-645
    • Foias, C.1    Jolly, M.S.2    Manley, O.P.3    Rosa, R.4
  • 12
    • 0037236626 scopus 로고    scopus 로고
    • On the Landau-Lifschitz degrees of freedom in 2D turbulence
    • C. Foias, M. S. Jolly, O. P. Manley, and R. Rosa, " On the Landau-Lifschitz degrees of freedom in 2D turbulence., " J. Stat. Phys. 111, 1017-1019 (2003).
    • (2003) J. Stat. Phys. , vol.111 , pp. 1017-1019
    • Foias, C.1    Jolly, M.S.2    Manley, O.P.3    Rosa, R.4
  • 13
    • 0020830393 scopus 로고
    • Asymptotic analysis of the Navier-Stokes equations
    • C. Foias, O. P. Manley, R. Temam, and Y. M. Tr̀ve, " Asymptotic analysis of the Navier-Stokes equations., " Physica D 9, 157-188 (1983).
    • (1983) Physica D , vol.9 , pp. 157-188
    • Foias, C.1    Manley, O.P.2    Temam, R.3    Tr̀ve, Y.M.4
  • 15
    • 0021476801 scopus 로고
    • Numerical simulation of the inverse cascade in two-dimensional turbulence
    • U. Frisch and P.-L. Sulem, " Numerical simulation of the inverse cascade in two-dimensional turbulence., " Phys. Fluids 27, 1921-1923 (1984).
    • (1984) Phys. Fluids , vol.27 , pp. 1921-1923
    • Frisch, U.1    Sulem, P.-L.2
  • 16
    • 0042044430 scopus 로고    scopus 로고
    • Smooth attractors have zero thickness
    • P. K. Friz and J. C. Robinson, " Smooth attractors have zero thickness., " J. Math. Anal. Appl. 240, 37-46 (1999).
    • (1999) J. Math. Anal. Appl. , vol.240 , pp. 37-46
    • Friz, P.K.1    Robinson, J.C.2
  • 17
    • 15844416308 scopus 로고    scopus 로고
    • On the double cascades of energy and enstrophy in two-dimensional turbulence. Part 1. Theoretical formulation
    • E. Gkioulekas and K. K. Tung, " On the double cascades of energy and enstrophy in two-dimensional turbulence. Part 1. Theoretical formulation., " Discrete Contin. Dyn. Syst. 5, 79-102 (2005).
    • (2005) Discrete Contin. Dyn. Syst. , vol.5 , pp. 79-102
    • Gkioulekas, E.1    Tung, K.K.2
  • 18
    • 15844425232 scopus 로고    scopus 로고
    • On the double cascades of energy and enstrophy in two-dimensional turbulence. Part 2. Approach to the klb limit and interpretation of experimental evidence
    • E. Gkioulekas and K. K. Tung, " On the double cascades of energy and enstrophy in two-dimensional turbulence. Part 2. Approach to the klb limit and interpretation of experimental evidence., " Discrete Contin. Dyn. Syst. 5, 103-124 (2005).
    • (2005) Discrete Contin. Dyn. Syst. , vol.5 , pp. 103-124
    • Gkioulekas, E.1    Tung, K.K.2
  • 19
    • 0033196607 scopus 로고    scopus 로고
    • Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces
    • B. R. Hunt and V. Yu. Kaloshin, " Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces., " Nonlinearity 12, 1263-1275 (1999).
    • (1999) Nonlinearity , vol.12 , pp. 1263-1275
    • Hunt, B.R.1    Yu., K.V.2
  • 20
    • 36849114603 scopus 로고
    • Inertial ranges in two-dimensional turbulence
    • R. H. Kraichnan, " Inertial ranges in two-dimensional turbulence., " Phys. Fluids 10, 1417-1423 (1967).
    • (1967) Phys. Fluids , vol.10 , pp. 1417-1423
    • Kraichnan, R.H.1
  • 22
    • 0037367621 scopus 로고    scopus 로고
    • On the dual cascade in two-dimensional turbulence
    • C. V. Tran and J. C. Bowman, " On the dual cascade in two-dimensional turbulence., " Physica D 176, 242-255 (2003).
    • (2003) Physica D , vol.176 , pp. 242-255
    • Tran, C.V.1    Bowman, J.C.2
  • 23
    • 42749107519 scopus 로고    scopus 로고
    • Robustness of the inverse cascade in two-dimensional turbulence
    • C. V. Tran and J. C. Bowman, " Robustness of the inverse cascade in two-dimensional turbulence., " Phys. Rev. E. 65, 1-7 (2004).
    • (2004) Phys. Rev. e , pp. 1-7
    • Tran, C.V.1    Bowman, J.C.2
  • 24
    • 2442704316 scopus 로고    scopus 로고
    • Density of global trajectories for filtered Navier-Stokes equations
    • J. Vukadinovic, " Density of global trajectories for filtered Navier-Stokes equations., " Nonlinearity 17, 953-974 (2004).
    • (2004) Nonlinearity , vol.17 , pp. 953-974
    • Vukadinovic, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.