메뉴 건너뛰기




Volumn 11, Issue 8, 1999, Pages 2149-2153

On the statistical solution of the Riemann equation and its implications for Burgers turbulence

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0040951913     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870076     Document Type: Article
Times cited : (7)

References (23)
  • 1
    • 0020891622 scopus 로고
    • L'équation de Burgers déterministe et statistique
    • J. D. Fournier and U. Frisch, "L'équation de Burgers déterministe et statistique," J. Mec. Theor. Appl. 2, 699 (1983).
    • (1983) J. Mec. Theor. Appl. , vol.2 , pp. 699
    • Fournier, J.D.1    Frisch, U.2
  • 2
    • 35949010561 scopus 로고
    • The large-scale structure of the universe: Turbulence, intermittency, structures in a self-graviting medium
    • S. F. Shandarin and Ya. B. Zeldovich, "The large-scale structure of the universe: Turbulence, intermittency, structures in a self-graviting medium," Rev. Mod. Phys. 61, 185 (1989).
    • (1989) Rev. Mod. Phys. , vol.61 , pp. 185
    • Shandarin, S.F.1    Zeldovich, Ya.B.2
  • 4
    • 0027395636 scopus 로고
    • Statistics of decaying Burgers turbulence
    • T. Gotoh and R. H. Kraichnan, "Statistics of decaying Burgers turbulence," Phys. Fluids A 5, 445 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 445
    • Gotoh, T.1    Kraichnan, R.H.2
  • 5
    • 0028576052 scopus 로고
    • Inertial range statistaics of Burgers turbulence
    • T. Gotoh, "Inertial range statistaics of Burgers turbulence," Phys. Fluids 6, 3985 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 3985
    • Gotoh, T.1
  • 6
    • 0029529362 scopus 로고
    • PDFs for velocity and velocity gradients in Burgers turbulence
    • M. Avellaneda, R. Ryan, and W. E, "PDFs for velocity and velocity gradients in Burgers turbulence," Phys. Fluids 7, 3067 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 3067
    • Avellaneda, M.1    Ryan, R.2    E., W.3
  • 7
    • 0003028082 scopus 로고
    • Statistical properties of shocks in Burgers turbulence
    • M. Avellaneda and W. E, "Statistical properties of shocks in Burgers turbulence," Commun. Math. Phys. 172, 13 (1995).
    • (1995) Commun. Math. Phys. , vol.172 , pp. 13
    • Avellaneda, M.1    E., W.2
  • 8
    • 21844507039 scopus 로고
    • Statistical properties of shocks in burgers turbulence, II: Tail probabilities for velocities, shock-strengths and rarefaction intervals
    • M. Avellaneda, "Statistical properties of shocks in burgers turbulence, II: Tail probabilities for velocities, shock-strengths and rarefaction intervals," Commun. Math. Phys. 169, 45 (1995).
    • (1995) Commun. Math. Phys. , vol.169 , pp. 45
    • Avellaneda, M.1
  • 9
    • 0000177610 scopus 로고
    • Scaling and intermittency in Burgers turbulence
    • J.-P. Bouchaud, M. Mézard, and G. Parisi, "Scaling and intermittency in Burgers turbulence," Phys. Rev. E 52, 3656 (1995).
    • (1995) Phys. Rev. E , vol.52 , pp. 3656
    • Bouchaud, J.-P.1    Mézard, M.2    Parisi, G.3
  • 10
    • 0000711880 scopus 로고
    • Kolmogorov turbulence in a random-force-driven Burgers equation
    • A. Chekhlov and V. Yakhot, "Kolmogorov turbulence in a random-force-driven Burgers equation" Phys. Rev. E 51, R2739 (1995).
    • (1995) Phys. Rev. E , vol.51
    • Chekhlov, A.1    Yakhot, V.2
  • 11
    • 5544305346 scopus 로고
    • Kolmogorov turbulence in a random-force-driven Burgers equation: Anomalous scaling and probability density functions
    • A. Chekhlov and V. Yakhot, "Kolmogorov turbulence in a random-force-driven Burgers equation: Anomalous scaling and probability density functions," Phys. Rev. E 52, 5681 (1995).
    • (1995) Phys. Rev. E , vol.52 , pp. 5681
    • Chekhlov, A.1    Yakhot, V.2
  • 12
    • 0000455520 scopus 로고
    • Turbulence without pressure
    • A. M. Polyakov, "Turbulence without pressure," Phys. Rev. E 52, 6183 (1995).
    • (1995) Phys. Rev. E , vol.52 , pp. 6183
    • Polyakov, A.M.1
  • 13
    • 0030284008 scopus 로고    scopus 로고
    • Velocity fluctuations in forced Burgers turbulence
    • J.-P. Bouchaud and M. Mézard, "Velocity fluctuations in forced Burgers turbulence," Phys. Rev. E 54, 5116 (1996).
    • (1996) Phys. Rev. E , vol.54 , pp. 5116
    • Bouchaud, J.-P.1    Mézard, M.2
  • 14
    • 0000686510 scopus 로고    scopus 로고
    • Instantons in the Burgers equation
    • V. Gurarie and A. Migdal, "Instantons in the Burgers equation," Phys. Rev. E 54, 4908 (1996).
    • (1996) Phys. Rev. E , vol.54 , pp. 4908
    • Gurarie, V.1    Migdal, A.2
  • 15
    • 6144286981 scopus 로고    scopus 로고
    • Algebraic tails of probability functions in the random-force-driven Burgers turbulence
    • V. Yakhot and A. Chekhlov, "Algebraic tails of probability functions in the random-force-driven Burgers turbulence," Phys. Rev. Lett. 77, 3118 (1996).
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 3118
    • Yakhot, V.1    Chekhlov, A.2
  • 17
    • 0000459888 scopus 로고    scopus 로고
    • Velocity-difference probability density functions for Burgers turbulence
    • S. A. Boldyrev, "Velocity-difference probability density functions for Burgers turbulence," Phys. Rev. E 55, 6907 (1997).
    • (1997) Phys. Rev. E , vol.55 , pp. 6907
    • Boldyrev, S.A.1
  • 18
    • 6244236583 scopus 로고    scopus 로고
    • Probability distribution functions for the random forced Burgers equation
    • W. E, K. Khanin, A. Mazel, and Ya. Sinai, "Probability distribution functions for the random forced Burgers equation" Phys. Rev. Lett. 78, 1904 (1997).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 1904
    • E., W.1    Khanin, K.2    Mazel, A.3    Sinai, Ya.4
  • 20
    • 0001692632 scopus 로고    scopus 로고
    • Burgers turbulence, intermittency, and nonuniversality
    • S. A. Boldyrev, "Burgers turbulence, intermittency, and nonuniversality," Phys. Plasmas 5, 1681 (1998).
    • (1998) Phys. Plasmas , vol.5 , pp. 1681
    • Boldyrev, S.A.1
  • 21
    • 0032209644 scopus 로고    scopus 로고
    • Burgers turbulence with large-scale forcing
    • T. Gotoh and R. H. Kraichnan, "Burgers turbulence with large-scale forcing," Phys. Fluids 10, 2859 (1998).
    • (1998) Phys. Fluids , vol.10 , pp. 2859
    • Gotoh, T.1    Kraichnan, R.H.2
  • 22
    • 5944227139 scopus 로고    scopus 로고
    • Asymptotic theory for the probability density functions in Burgers turbulence
    • submitted
    • W. E and E. Vanden Eijnden, "Asymptotic theory for the probability density functions in Burgers turbulence," submitted to Phys. Rev. Lett.
    • Phys. Rev. Lett.
    • E., W.1    Vanden Eijnden, E.2
  • 23
    • 85087242690 scopus 로고    scopus 로고
    • note
    • (k)(x,t) were already introduced in Ref. 1. No conclusion was drawn about the statistics of the Riemann equation in Ref. 1, but it was already acknowledged that approximations that do not account properly for shock creation may spuriously predict properties of Burgers solutions which are, in fact, only observed on solutions of the Riemann equation.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.