Equivalence of dynamical ensembles and Navier-Stokes equations

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 223, Issue 1-2, 1996, Pages 91-95

  Gallavotti, G ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

Chaoticity principle; Fluid mechanics; Navier Stokes equation; Strange attractors

Indexed keywords

FLUID MECHANICS; REYNOLDS NUMBER; VISCOUS FLOW;

CHAOTICITY; STRANGE ATTRACTORS; THERMODYNAMIC LIMITS;

NAVIER STOKES EQUATIONS;

EID: 0043042528     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(96)00729-3     Document Type: Article

References (20)

1. G. Gallavotti and E.G.D. Cohen, Phys. Rev. Lett. 74 (1995) 2694.
2. G. Gallavotti, Extension of Onsager's reciprocity to large fields and the chaotic hypothesis, http://chimera.roma1. infn.it (1996), chao-dyn 9603003; to appear in Phys. Rev. Lett.
3. H. Spohn, Large scale dynamics of interacting particles (Springer, Berlin, 1991).
4. O. Lanford, Time evolution of large classical systems, in: Lecture notes in physics, Vol. 38. Dynamical systems, theory and applications, ed. J. Moser (Springer, Berlin, 1974) pp. 1-111.
5. 2 (Zanichelli, Bologna, 1927, reprinted 1974).
6. E.T. Wittaker, A treatise on the analytical dynamics of particles and rigid bodies (Cambridge Univ. Press, Cambridge, 1989).
7. D.J. Evans, Cohen, E.G.D. and G.P. Morriss, Phys. Rev. Lett. 71 (1993) 2401.
8. D. Ruelle, Chaotic motions and strange attractors, Lezioni Lincee, notes by S. Isola, Accademia Nazionale dei Lincei, (Cambridge Univ. Press, Cambridge, 1989); D. Ruelle, Ann. NY Acad. Sci. 357 (1980) 1.
9. D. Ruelle, Chaotic motions and strange attractors, Lezioni Lincee, notes by S. Isola, Accademia Nazionale dei Lincei, (Cambridge Univ. Press, Cambridge, 1989); D. Ruelle, Ann. NY Acad. Sci. 357 (1980) 1.
10. G. Gallavotti, J. Stat. Phys. 78 (1995) 1571; Lecture notes in physics, Vol. 448. Topics in chaotic dynamics, Lectures at the Granada school, ed. Garrido-Marro (Springer, Berlin, 1995); for mathematical details, Math. Phys. Electron. J. 1 (1) (1995) (http://www.ma.utexas.edu/MPEJ/mpej.htlm).
11. G. Gallavotti, J. Stat. Phys. 78 (1995) 1571; Lecture notes in physics, Vol. 448. Topics in chaotic dynamics, Lectures at the Granada school, ed. Garrido-Marro (Springer, Berlin, 1995); for mathematical details, Math. Phys. Electron. J. 1 (1) (1995) (http://www.ma.utexas.edu/MPEJ/mpej.htlm).
12. G. Gallavotti, J. Stat. Phys. 78 (1995) 1571; Lecture notes in physics, Vol. 448. Topics in chaotic dynamics, Lectures at the Granada school, ed. Garrido-Marro (Springer, Berlin, 1995); for mathematical details, Math. Phys. Electron. J. 1 (1) (1995) (http://www.ma.utexas.edu/MPEJ/mpej.htlm).
13. G. Gallavotti and E.G.D. Cohen, J. Stat. Phys. 80 (1995) 931.
14. Zhen-Su She and E. Jackson, Phys. Rev. Lett. 70 (1993) 1255.
15. L. Landau and V. Lifshitz, Mécanique des fluides (MIR, Moscow, 1966).
16. J. Leray, Acta Math. 63 (1934) 193.
17. G. Gallavotti, Some rigorous results about 3D Navier-Stokes, Les Houches 1992 NATO-ASI meeting on Turbulence in spatially extended systems, eds. R. Benzi, C. Basdevant and S. Ciliberto (Nova Science, New York, 1993) pp. 45-81.
18. G.E. Uhlenbeck and G.W. Ford, Lectures in statistical mechanics (Am. Math. Soc., Providence, RI, 1963) pp. 5, 16, 30.
19. J.P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57 (1985) 617.
20. D. Ruelle, Positivity of entropy production in nonequilibrium statistical mechanics, IHES preprint (1996) in mp_arc@math.utexas.edu#96-166, J. Stat. Phys, in press.