Spontaneous symmetry breaking and finite-time singularities in d-dimensional incompressible flows with fractional dissipation

EPL

Volumn 84, Issue 5, 2008, Pages

  Viswanathan, G M ^a,b   Viswanathan, T M ^b  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b FEDERAL UNIVERSITY OF ALAGOAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79051471113     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/84/50006     Document Type: Article

References (33)

1. Stanley H. E. 1999 Rev. Mod. Phys. 71 S358
2. Peitgen H.-O., Jürgens H. and Saupe D. 1992 Chaos and Fractals (New York: Springer-Verlag)
3. Bunde A. and Havlin S. 1991 Fractals and Disordered Systems (Berlin: Springer)
4. Mandelbrot B. B. 1982 The Fractal Geometry of Nature (New York: W.H. Freeman and Co.)
5. Ladyzhenskaya O. 1969 The Mathematical Theory of Viscous Incompressible Flows (New York: Gordon and Breach)
6. Temam R. 1983 Navier-Stokes Equations and Nonlinear Funcional Analysis (Philadelphia: SIAM)
7. Majda A. and Bertozzi A. L. 2001 Vorticity and Incompressible Flow (Cambridge: Cambridge University Press)
8. Tao T. 2007 Dyn. Partial Differ. Equ. 4 293
9. Katz N. H. and Pavlović N. 2002 Geom. Funct. Anal. 12 355
10. Falkovich G., Gawedzki K. and Vergassola M. 2001 Rev. Mod. Phys. 73 913
11. Constantin P. 2001 in Mathematics Unlimited - 2001 and Beyond (Berlin: Springer Verlag)
12. Ohkitani K. and Gibbon J. D. 2000 Phys. Fluids 12 3181
13. Terry P. W. 2000 Rev. Mod. Phys. 72 109
14. Mattingly J. and Sinai Y. 1999 Commun. Contemp. Math. 1 497
15. Lin F.-H. 1998 Commun. Pure. Appl. Math. 51 241
16. Eggers J. 1997 Rev. Mod. Phys. 69 865
17. Kerr R. M. 1993 Phys. Fluids A 5 1725
18. Beale J. T., Kato T. and Majda A. 1984 Commun. Math. Phys. 94 61
19. Caffarelli L., Kohn R. and Nirenberg L. 1982 Commun. Pure Appl. Math. 35 771
20. Scheffer V. 1976 in Turbulence and the Navier-Stokes Equations (Berlin: Springer Verlag)
21. Bachelier L. 1900 Ann. Sci. Ec. Norm. Super. 17 21
22. Levy P. 1937 Theorie de l'addition des Variables Aleatoires (Paris: Gauthier-Villars)
23. Metzler R. and Klafter J. 2000 Phys. Rep. 339 1
24. Metzler R. and Klafter J. 2004 J. Phys. A 37 R161
25. Shlesinger M. F., Zaslavsky G. M. and Frisch U. (ed) 1995 Lévy Flights and Related Topics in Physics (Berlin: Springer)
26. Kenkre V. M. 1977 in Statistical Mechanics and Statistical Methods in Theory and Application ed Landman U. (New York: Plenum)
27. Kenkre V. M., Montroll E. W. and Shlesinger M. F. 1973 J. Stat. Phys. 9 45
28. Sokolov I. M. 2000 Phys. Rev. E 63 011104
29. Barkai E., Metzler R. and Klafter J. 2000 Phys. Rev. E 61 132
30. Figueiredo A., Matsushita R., Gleria I. M. and daSilva S. 2003 Phys. Lett. A 315 51
31. Viswanathan G. M., Buldyrev S. V., Havlin S., daLuz M. G. E., Raposo E. and Stanley H. E. 1999 Nature 401 911
32. Cressoni J. C., da Silva M. A. A. and Viswanathan G. M. 2007 Phys. Rev. Lett. 98 070603
33. Zoia A., Rosso A. and Kardar M. 2007 Phys. Rev. E. 76 021116