Mathematics – Analysis of PDEs
Scientific paper
2005-12-15
Journal of Evolution Equations vol. 6, num. 2 (2006) 305-324
Mathematics
Analysis of PDEs
Scientific paper
We construct a Markov family of solutions for the 3D Navier-Stokes equation perturbed by a non degenerate noise. We improve the result of [DPD-NS3D] in two directions. We see that in fact not only a transition semigroup but a Markov family of solutions can be constructed. Moreover, we consider a state dependant noise. Another feature of this work is that we greatly simplify the proofs of [DPD-NS3D].
Debussche Arnaud
Odasso Cyril
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