Large-deviations estimates in Burgers turbulence with stable noise initial data

被引：10

作者：

Bertoin, J ^{[1
]}

机构：

[1] Univ Paris 06, Probabil Lab, F-75252 Paris 05, France

来源：

JOURNAL OF STATISTICAL PHYSICS | 1998年 / 91卷 / 3-4期

关键词：

inviscid Burgers equation; random initial velocity; large deviations;

D O I：

10.1023/A:1023081728243

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the inviscid Burgers equation where the initial datum is given by a stable (Levy) noise. The asymptotic behavior of the tail distribution of the solution is described; the decay is much faster in the case when the stable noise is completely skewed to the left.

引用

页码：655 / 667

页数：13

共 21 条

[1] STATISTICAL PROPERTIES OF SHOCKS IN BURGERS TURBULENCE .2. TALL PROBABILITIES FOR VELOCITIES, SHOCK-STRENGTHS AND RAREFACTION INTERVALS [J].