Bifractality of the Devil's staircase appearing in the burgers equation with Brownian initial velocity

Journal of Statistical Physics

Volumn 88, Issue 5-6, 1997, Pages 1151-1164

  Aurell, E ^a,b   Frisch, U ^c   Noullez, A ^c   Blank, M ^c,d  

^a Parallelldatorcentrum   (Sweden)

^b STOCKHOLM UNIVERSITY   (Sweden)

^c CNRS   (France)

^d INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

Author keywords

Burgers equation; Fractals

Indexed keywords

EID: 0031232208     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02732429     Document Type: Article

References (5)

1. Ya. G. Sinai, Statistics of shocks in solutions of inviscid Burgers equation, Commun. Math. Phys. 148:601-622 (1992).
2. Z. S. She, E. Aurell, and U. Frisch, The inviscid Burgers equation with initial data of Brownian type, Commun. Math. Phys. 148:623-641 (1992).
3. M. Vergassola, B. Dubrulle, U. Frisch, and A. Noullez, Burgers' equation, Devil's staircases and the mass distribution for large-scale structures. Astron. Astrophys. 289:325-356 (1994).
4. R. Artuso, P. Cvitanović, and B. G. Kenny, Phase transitions on strange irrational sets, Phys. Rev. A 39:268-281 (1989).
5. G. M. Molchan, Burgers' equation with self-similar Gaussian initial data: tail probabilities, preprint (1996).