Statistics of shocks in solutions of inviscid Burgers equation View Full Text


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Article Info

DATE

1992-09

AUTHORS

Ya. G. Sinai

ABSTRACT

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. More... »

PAGES

601-621

References to SciGraph publications

Journal

TITLE

Communications in Mathematical Physics

ISSUE

3

VOLUME

148

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02096550

DOI

http://dx.doi.org/10.1007/bf02096550

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1001608199


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