메뉴 건너뛰기




Volumn 241, Issue 4, 2012, Pages 426-438

Bounds on Kolmogorov spectra for the NavierStokes equations

Author keywords

Energy spectrum; Inertial range; NavierStokes equations

Indexed keywords

NAVIER STOKES EQUATIONS; REYNOLDS EQUATION; REYNOLDS NUMBER;

EID: 84855200936     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2011.10.013     Document Type: Article
Times cited : (6)

References (19)
  • 1
    • 0001277608 scopus 로고
    • The local structure of turbulence in incompressible viscous flow for very large Reynolds' numbers
    • A.N. Kolmogorov The local structure of turbulence in incompressible viscous flow for very large Reynolds' numbers Dokl. Akad. Nauk SSSR 30 1941 299 303
    • (1941) Dokl. Akad. Nauk SSSR , vol.30 , pp. 299-303
    • Kolmogorov, A.N.1
  • 2
    • 0002385458 scopus 로고
    • On degeneration (decay) of isotropic turbulence in an incompressible viscous liquid
    • A.N. Kolmogorov On degeneration (decay) of isotropic turbulence in an incompressible viscous liquid Dokl. Akad. Nauk SSSR 31 1941 538 541
    • (1941) Dokl. Akad. Nauk SSSR , vol.31 , pp. 538-541
    • Kolmogorov, A.N.1
  • 3
    • 0002385458 scopus 로고
    • Dissipation of energy in the locally isotropic turbulence
    • A.N. Kolmogorov Dissipation of energy in the locally isotropic turbulence Dokl. Akad. Nauk SSSR 32 1941 19 21
    • (1941) Dokl. Akad. Nauk SSSR , vol.32 , pp. 19-21
    • Kolmogorov, A.N.1
  • 4
    • 0002438059 scopus 로고
    • On the energy distribution in the spectrum of a turbulent flow
    • A.M. Obukhov On the energy distribution in the spectrum of a turbulent flow Dokl. Akad. Nauk SSSR 32 1 1941 22 24
    • (1941) Dokl. Akad. Nauk SSSR , vol.32 , Issue.1 , pp. 22-24
    • Obukhov, A.M.1
  • 7
    • 0033434134 scopus 로고    scopus 로고
    • Spectral properties of solutions for nonlinear PDEs in the turbulent regime
    • S. Kuksin Spectral properties of solutions for nonlinear PDEs in the turbulent regime Geom. Funct. Anal. 9 1 1999 141 184
    • (1999) Geom. Funct. Anal. , vol.9 , Issue.1 , pp. 141-184
    • Kuksin, S.1
  • 8
    • 0037174473 scopus 로고    scopus 로고
    • Energy dissipation in body-forced turbulence
    • C.R. Doering, and C. Foias Energy dissipation in body-forced turbulence J. Fluid Mech. 467 2002 289 306
    • (2002) J. Fluid Mech. , vol.467 , pp. 289-306
    • Doering, C.R.1    Foias, C.2
  • 9
    • 0034349965 scopus 로고    scopus 로고
    • Stochastic dissipative PDEs and Gibbs measures
    • S. Kuksin Stochastic dissipative PDEs and Gibbs measures Comm. Math. Phys. 213 2000 291 330
    • (2000) Comm. Math. Phys. , vol.213 , pp. 291-330
    • Kuksin, S.1
  • 10
    • 0035639506 scopus 로고    scopus 로고
    • Gibbsian Dynamics and Ergodicity for the Stochastically Forced Navier-Stokes Equation
    • DOI 10.1007/s002201224083
    • W.E, J.C. Mattingly, and Ya.G. Sinai Gibbsian dynamics and ergodicity for the stochastically forced NavierStokes equations Comm. Math. Phys. 224 2001 83 106 (Pubitemid 33368005)
    • (2001) Communications in Mathematical Physics , vol.224 , Issue.1 , pp. 83-106
    • Mattingly, W.E.J.C.1    Sinai, Y.2
  • 11
    • 0001505224 scopus 로고    scopus 로고
    • Ergodicity for the randomly forced 2D NavierStokes equations
    • S. Kuksin, and A. Shirikyan Ergodicity for the randomly forced 2D NavierStokes equations Math. Phys. Anal. Geom. 4 2001 147 195
    • (2001) Math. Phys. Anal. Geom. , vol.4 , pp. 147-195
    • Kuksin, S.1    Shirikyan, A.2
  • 12
    • 43349087511 scopus 로고    scopus 로고
    • Analysis of equilibrium states of Markov solutions to the 3D NavierStokes equations driven by additive noise
    • M. Romito Analysis of equilibrium states of Markov solutions to the 3D NavierStokes equations driven by additive noise J. Stat. Phys. 131 2008 415 444
    • (2008) J. Stat. Phys. , vol.131 , pp. 415-444
    • Romito, M.1
  • 13
    • 51249193194 scopus 로고
    • Sur le mouvement d'un liquide visqueux emplissant l'espace
    • J. Leray Sur le mouvement d'un liquide visqueux emplissant l'espace Acta Math. 63 1934 193 248
    • (1934) Acta Math. , vol.63 , pp. 193-248
    • Leray, J.1
  • 14
    • 0000221349 scopus 로고
    • Essai sur les mouvements plans d'un liquide visqueux que limitent des parois
    • J. Leray Essai sur les mouvements plans d'un liquide visqueux que limitent des parois J. Math. Pures Appl. 8 1934 331 418
    • (1934) J. Math. Pures Appl. , vol.8 , pp. 331-418
    • Leray, J.1
  • 15
    • 0011968533 scopus 로고
    • On the regularity of the pressure of weak solutions of NavierStokes equations
    • H. Sohr, and W. von Wahl On the regularity of the pressure of weak solutions of NavierStokes equations Arch. Math. 46 1986 428 439
    • (1986) Arch. Math. , vol.46 , pp. 428-439
    • Sohr, H.1    Von Wahl, W.2
  • 17
    • 85006768460 scopus 로고    scopus 로고
    • Construction of suitable weak solutions of the NavierStokes equations
    • A. Biryuk, W. Craig, and S. Ibrahim Construction of suitable weak solutions of the NavierStokes equations Contemp. Math. 429 2007 1 18
    • (2007) Contemp. Math. , vol.429 , pp. 1-18
    • Biryuk, A.1    Craig, W.2    Ibrahim, S.3
  • 18
    • 0001382341 scopus 로고
    • NavierStokes equations and area of interfaces
    • P. Constantin NavierStokes equations and area of interfaces Comm. Math. Phys. 129 1990 241 266
    • (1990) Comm. Math. Phys. , vol.129 , pp. 241-266
    • Constantin, P.1
  • 19
    • 84958440725 scopus 로고
    • A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
    • A.N. Kolmogorov A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number J. Fluid Mech. 13 1962 82 85
    • (1962) J. Fluid Mech. , vol.13 , pp. 82-85
    • Kolmogorov, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.