Abstract
AbstractWe are here concerned with the Navier-Stokes equation in O = [0, 2π] x [0, 2π] perturbed by noise. For the sake of simplicity we shall only consider periodic boundary conditions and coulored noise. For Dirichlet boundary conditions see [8], for the 2D Navier-Stokes equation driven by white noise see [33].KeywordsInvariant MeasureSobolev EmbeddingKolmogorov EquationTransition SemigroupStochastic ConvolutionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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