Mathematical Sciences
The purpose of this paper is to analyze statistical properties of discontinuities of solutions of the inviscid Burgers equation having a typical realizationb(y) of the Brownian motion as an initial datum. This case was proposed and studied numerically in the companion paper by She, Aurell and Frisch. The description of the statistics is given in terms of the behavior of the convex hull of the random process. The Hausdorff dimension of the closed set of thosey where the convex hull coincides withw is also studied.
Statistics of shocks in solutions of inviscid Burgers equation
http://link.springer.com/10.1007/BF02096550
1992-09
1992-09-01
articles
research_article
2019-04-11T12:27
601-621
en
false
https://scigraph.springernature.com/explorer/license/
readcube_id
07a9380b0b1162fa47230efdccbec59fad3c0e884cbd144601689d3c19242f6a
Springer Nature - SN SciGraph project
Ya. G.
Sinai
Princeton University
Mathematics Department, Princeton University, 08544, NJ, USA
Landau Institute of Theoretical Physics, Moscow, Russia
dimensions_id
pub.1001608199
148
1432-0916
0010-3616
Communications in Mathematical Physics
3
10.1007/bf02096550
doi
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