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Volumn 37, Issue 12, 1996, Pages 6152-6156

Rigorous estimates of small scales in turbulent flows

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EID: 0030359563     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531769     Document Type: Article
Times cited : (16)

References (15)
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  • 2
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  • 3
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    • Foias, C.1    Prodi, G.2
  • 4
    • 84966204481 scopus 로고
    • Determination of the solutions of the Navier-Stokes equations by a set of nodal values
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    • (1984) Math. Comput. , vol.43 , pp. 117-133
    • Foias, C.1    Temam, R.2
  • 5
    • 0020830393 scopus 로고
    • Asymptotic analysis of the Navier-Stokes equations
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    • Foias, C.1    Manley, O.P.2    Temam, R.3    Treve, Y.4
  • 6
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    • On the number of determining nodes for the 2D Navier-Stokes equations
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    • Jones, D.A.1    Titi, E.S.2
  • 7
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    • Upper bounds on the number of determining modes, nodes, and volume elements for the Navier-Stokes equations
    • D. A. Jones and E. S. Titi, "Upper bounds on 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.A.1    Titi, E.S.2
  • 8
    • 0000161771 scopus 로고
    • Degrés de liberté déterminants pour équations nonlinéaires dissipatives
    • B. Cockburn, D. Jones, and E. S. Titi, "Degrés de liberté déterminants pour équations nonlinéaires dissipatives," Compt. Rendus Acad. Sci. Paris Sér. I 321, 563-568 (1995).
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  • 9
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    • Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems
    • in press
    • B. Cockburn, D. Jones, and E. S. Titi, "Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems," Math. Comp. (in press).
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    • Cockburn, B.1    Jones, D.2    Titi, E.S.3
  • 10
    • 0021150102 scopus 로고
    • Determining modes and fractal dimension of turbulent flows
    • P. Constantin, C. Foias, O. P. Manley, and R. Temam, "Determining modes and fractal dimension of turbulent flows," J. Fluid Mech. 150, 427-440 (1985).
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  • 12
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    • Exponential decay rate of the power spectrum for solutions of the Navier-Stokes equations
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    • Doering, C.R.1    Titi, E.S.2
  • 13
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    • Attractor dimension and small length scale estimates for the 3-d Navier-Stokes equations
    • in press
    • J. D. Gibbon and E. S. Titi, "Attractor dimension and small length scale estimates for the 3-d Navier-Stokes equations," Nonlinearity (in press).
    • Nonlinearity
    • Gibbon, J.D.1    Titi, E.S.2
  • 14
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    • On the smallest scale for the incompressible Navier-Stokes equations
    • W. D. Henshaw, H. O. Kreiss, and L. G. Reyna, "On the smallest scale for the incompressible Navier-Stokes equations," Arch. Rat. Mech. Anal. 112, 21-44 (1990).
    • (1990) Arch. Rat. Mech. Anal. , vol.112 , pp. 21-44
    • Henshaw, W.D.1    Kreiss, H.O.2    Reyna, L.G.3
  • 15
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    • Local structure of turbulence in an incompressible fluid at very high Reynolds numbers
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    • Kolmogorov, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.