Author:
FRACHEBOURG L.,MARTIN Ph. A.
Abstract
The one-dimensional Burgers equation in the inviscid limit with white noise initial
condition is revisited. The one- and two-point distributions of the Burgers field as
well as the related distributions of shocks are obtained in closed analytical forms.
In particular, the large distance behaviour of spatial correlations of the field is
determined. Since higher-order distributions factorize in terms of the one- and two-
point functions, our analysis provides an explicit and complete statistical description
of this problem.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
69 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献