Solution of functional equations and reduction of dimension in the local energy transfer theory of incompressible, three-dimensional turbulence

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 63, Issue 2 II, 2001, Pages 1-5

  Oberlack, M ^a   McComb, W D ^b   Quinn, A P ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18344362888     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.026308     Document Type: Article

References (13)

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6. W. D. McComb, The Physics of Fluid Turbulence (Clarendon Press, Oxford, 1990).
7. W. D. McComb, M. J. Filipiak, and V. Shanmugasundaram, J. Fluid Mech. 245, 279 (1992).
8. G. W. Bluman and S. Kumei Symmetries and Differential Equations, Applied Mathematical Sciences Vol. 81 (Springer-Verlag, Berlin, 1989).
9. N. H. Ibragimov, Elementary Lie Group Analysis and Ordinary Differential Equations (Wiley & Sons, New York, 1999).
10. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1968).
11. N. H. Ibragimov, CRC Handbook of Lie Group Analysis of Differential Equations (CRC Press, Boca Raton, FL, 1995), Vol. 2.
12. S. F. Edwards, in International Conference on Plasma Physics, Trieste (IAEA, Vienna, 1965), p. 595.
13. W. D. McComb, J. Phys. A 7, 632 (1974).