Bertoin, Jean; Giraud, C; Isozaki, Y (2001). Statistics of a flux in Burgers turbulence with one-sided Brownian initial data. Communications in Mathematical Physics, 224(2):551-564.
We study the statistics of the flux of particles crossing the origin, which is induced by the dynamics of ballistic aggregation in dimension 1, under certain random initial conditions for the system. More precisely, we consider the cases when particles are uniformly distributed on ℝ at the initial time, and if u(x,t) denotes the velocity of the particle located at x at time t, then u(x,0)= 0 for x<0 and (u(x,0), x≥ 0) is either a white noise or a Brownian motion.
We study the statistics of the flux of particles crossing the origin, which is induced by the dynamics of ballistic aggregation in dimension 1, under certain random initial conditions for the system. More precisely, we consider the cases when particles are uniformly distributed on ℝ at the initial time, and if u(x,t) denotes the velocity of the particle located at x at time t, then u(x,0)= 0 for x<0 and (u(x,0), x≥ 0) is either a white noise or a Brownian motion.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 1 December 2001 |
| Deposited On: | 24 Jul 2013 08:16 |
| Last Modified: | 19 Feb 2018 22:05 |
| Publisher: | Springer |
| ISSN: | 0010-3616 |
| OA Status: | Closed |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1007/PL00005589 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1870057 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0993.60067 |
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Bertoin, Jean