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Volumn 7, Issue 3, 2000, Pages 1064-1067

Renormalized dissipation in the nonconservatively forced Burgers equation

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EID: 0000468854     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.873909     Document Type: Article
Times cited : (4)

References (36)
  • 2
    • 85037486656 scopus 로고    scopus 로고
    • note
    • They also considered a Model C, involving band-limited forcing. They showed that the long-wavelength behavior of that model was the same as that of Model A.
  • 9
    • 0001466688 scopus 로고
    • edited by A. A. Galeev and R. N. Sudan North-Holland, Amsterdam, Chap. 5-5
    • J. A. Krommes, in Handbook of Plasma Physics, edited by A. A. Galeev and R. N. Sudan (North-Holland, Amsterdam, 1984), Vol. 2, Chap. 5-5, p. 183.
    • (1984) Handbook of Plasma Physics , vol.2 , pp. 183
    • Krommes, J.A.1
  • 12
    • 0001989982 scopus 로고
    • edited by L. Sirovich Springer, New York, Chap. 1
    • R. H. Kraichnan, in New Perspectives in Turbulence, edited by L. Sirovich (Springer, New York, 1991), Chap. 1, p. 1.
    • (1991) New Perspectives in Turbulence , pp. 1
    • Kraichnan, R.H.1
  • 13
    • 0002344573 scopus 로고
    • edited by R. Balian and J.-L. Peube Gordon and Breach, New York
    • S. A. Orszag, in Fluid Dynamics, edited by R. Balian and J.-L. Peube (Gordon and Breach, New York, 1977), p. 235.
    • (1977) Fluid Dynamics , pp. 235
    • Orszag, S.A.1
  • 15
    • 85037489010 scopus 로고
    • Ph.D. thesis, Princeton University
    • J. C. Bowman, Ph.D. thesis, Princeton University, 1992.
    • (1992)
    • Bowman, J.C.1
  • 17
    • 85037483690 scopus 로고    scopus 로고
    • note
    • The EDQNM fails in the presence of linear waves because statistical realizability breaks down. The Realizable Markovian Closure (Ref. 16), which corrects that deficiency, reduces by construction to the EDQNM for the present Burgers model (whose linear dynamics are purely dissipative).
  • 19
    • 85037490401 scopus 로고    scopus 로고
    • note
    • 2) term is treated as negligible in the absence of vertex renormalization.
  • 20
    • 85037466423 scopus 로고    scopus 로고
    • note
    • -2 ln((k+q)lq).
  • 24
    • 0000521325 scopus 로고    scopus 로고
    • Many of the detailed mathematical calculations in Ref. 23, which rely on a calculation of trajectory divergence to predict macroscopic spectral effects, are incorrect. An exactly solvable model that pinpoints the flaw in the logic was discussed by J. A. Krommes, Phys. Plasmas 4, 655 (1997). However, the basically dimensional result, that sufficiently large shear reduces transport, is upheld by more systematic calculations.
    • (1997) Phys. Plasmas , vol.4 , pp. 655
    • Krommes, J.A.1
  • 25
    • 85037479073 scopus 로고    scopus 로고
    • note
    • k is diffusive. The definitions (18) are also derived in that limit, although formula (18b) is a valid dimensionless parameter in all regimes.
  • 27
    • 3843140989 scopus 로고    scopus 로고
    • J. A Krommes, Bull. Am. Phys. Soc. 44, 289 (1999); "The roles of shear and cross-correlations on the fluctuation levels in simple stochastic models," Phys. Plasmas (in press).
    • (1999) Bull. Am. Phys. Soc. , vol.44 , pp. 289
    • Krommes, J.A.1
  • 28
    • 85037468891 scopus 로고    scopus 로고
    • The roles of shear and cross-correlations on the fluctuation levels in simple stochastic models
    • in press
    • J. A Krommes, Bull. Am. Phys. Soc. 44, 289 (1999); "The roles of shear and cross-correlations on the fluctuation levels in simple stochastic models," Phys. Plasmas (in press).
    • Phys. Plasmas
  • 30
    • 36849142102 scopus 로고
    • R. H. Kraichnan, J. Math. Phys. 2, 124 (1961); 3, 205 (1962).
    • (1962) J. Math. Phys. , vol.3 , pp. 205


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.