On the small time asymptotics of the two-dimensional stochastic Navier-Stokes equations

被引：15

作者：

Xu, Tiange ^{[1
]}

Zhang, Tusheng ^{[1
]}

机构：

[1] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2009年 / 45卷 / 04期

关键词：

stochastic Navier-Stokes equation; small time asymptotics; large deviation principle; DIFFUSION-PROCESSES; MARTINGALE; BEHAVIOR;

D O I：

10.1214/08-AIHP192

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we establish a small time large deviation principle (small time asymptotics) for the two-dimensional stochastic Navier-Stokes equations driven by multiplicative noise, which not only involves the study of the small noise, but also the investigation of the effect of the small, but highly nonlinear, unbounded drifts.

引用

页码：1002 / 1019

页数：18

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