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

Tiange XuTusheng Zhang — 2009

Annales de l'I.H.P. Probabilités et statistiques

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.

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