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.