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

Tiange Xu; Tusheng Zhang

Annales de l'I.H.P. Probabilités et statistiques (2009)

  • Volume: 45, Issue: 4, page 1002-1019
  • ISSN: 0246-0203

Abstract

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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.

How to cite

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Xu, Tiange, and Zhang, Tusheng. "On the small time asymptotics of the two-dimensional stochastic Navier–Stokes equations." Annales de l'I.H.P. Probabilités et statistiques 45.4 (2009): 1002-1019. <http://eudml.org/doc/78050>.

@article{Xu2009,
abstract = {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.},
author = {Xu, Tiange, Zhang, Tusheng},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {stochastic Navier–Stokes equation; small time asymptotics; large deviation principle; stochastic Navier-Stokes equation},
language = {eng},
number = {4},
pages = {1002-1019},
publisher = {Gauthier-Villars},
title = {On the small time asymptotics of the two-dimensional stochastic Navier–Stokes equations},
url = {http://eudml.org/doc/78050},
volume = {45},
year = {2009},
}

TY - JOUR
AU - Xu, Tiange
AU - Zhang, Tusheng
TI - On the small time asymptotics of the two-dimensional stochastic Navier–Stokes equations
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2009
PB - Gauthier-Villars
VL - 45
IS - 4
SP - 1002
EP - 1019
AB - 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.
LA - eng
KW - stochastic Navier–Stokes equation; small time asymptotics; large deviation principle; stochastic Navier-Stokes equation
UR - http://eudml.org/doc/78050
ER -

References

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  14. [14] S. S. Sritharan and P. Sundar. Large deviation for the two dimensional Navier–Stokes equations with multiplicative noise. Stochastic Process. Appl. 116 (2006) 1636–1659. Zbl1117.60064MR2269220
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