Spectral, diffusive and convective properties of fractal and spiral fields

Physica D: Nonlinear Phenomena

Volumn 124, Issue 1-3, 1998, Pages 23-57

  Angilella, J R ^a   Vassilicos, J C ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003792094     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00162-6     Document Type: Article

References (20)

1. Abramowitz, Stegun, Handbook of Mathematical Functions, Dover, New York, 1965.
2. E.R. Benton, G.W. Platzman, A table of solutions of the one-dimensional Burgers equation, Q. Appl. Math. 30 (1972) 195-212.
3. J.M. Burgers, The Nonlinear Diffusion Equation, Reidel, Dordrecht, 1974.
4. D. Cole, On a quasi-linear parabolic equation occuring in aerodynamics, Q. Appl. Math. 9 (1951) 225.
5. M. Farge, Wavelet transforms and their applications to turbulence, Ann. Rev. Fluid Mech. 24 (1992) 395-457.
6. P. Flohr, J.C. Vassilicos, Accelerated scalar dissipation in a vortex, J. Fluid Mech. 348 (1997) 295-317.
7. J.D. Fournier, U. Frisch, L'équation de Burgers déterministe et statistique, Journal de Mécanique Théorique et Appliquée 2 (5) (1983) 699-750.
8. A. Gilbert, Spiral structures and spectra in two-dimensional turbulence, J. Fluid Mech. 193 (1988) 475-497.
9. S.N. Gurbatov, D.G. Crighton, The nonlinear decay of complex signals in dissipative media, Chaos 5 (3) (1995) 524-530.
10. H.G.E. Hentschel, I. Procaccia, The infinite number of dimensions of probabilistic fractals and strange attractors, Physica D (1983) 435.
11. xx, Commun. Pure Appl. Math. 3 (201) (1950).
12. S. Kida, Asymptotic properties of Burgers turbulence, J. Fluid Mech. 93 (1979) 337-377.
13. T.S. Lundgren, Strained spiral vortex model for turbulent fine structure, Phys. Fluids (1982) 25.
14. H.K. Moffatt, Simple topological aspects of turbulent vorticity dynamics, in: Tatsumi (Ed.), Proceedings IUTAM Symposium on Turbulence and Chaotic Phenomena in Fluids, 1984, p. 223.
15. F. Nicolleau, J.C. Vassilicos, Intermittency and wavelet analysis of one-point turbulence data (1998), submitted.
16. P.L. Sachdev, Nonlinear Diffusive Waves, Cambridge University Press, Cambridge, 1987.
17. T. Tatsumi, S. Kida, Statistical mechanics of the Burgers model of turbulence, J. Fluid Mech. 55 (1972) 659-675.
18. J.C. Vassilicos, The multispiral model of turbulence and intermittency, in: H.K. Moffatt et al. (Eds.), Topological Aspects of the Dynamics of Fluids and Plasmas, 1992, pp. 427-442.
19. J.C. Vassilicos, Anomalous diffusion of isolated flow singularities and of fractal or spiral structures, Phys. Rev. E 52 (6) (1995).
20. J.C. Vassilicos, J.C.R. Hunt, Fractal dimensions and spectra of interfaces with application to turbulence, Proc. Roy. Soc. Lond. A 435 (1991) 505.