The Law of the Iterated Logarithm for Two-Dimensional Stochastic Navier-Stokes Equations

Here we implement the Azencott method to prove the moderate deviation principle for the two-dimensional incompressible stochastic Navier-Stokes equations in a bounded domain. As applications two types of the law of the iterated logarithm Khintchine Classical type and the Strassen’s compact law of iterated logarithm, are proved.