Markov solutions for the 3D stochastic Navier–Stokes equations with state dependent noise
نویسندگان
چکیده
We construct a Markov family of solutions for the 3D Navier-Stokes equation perturbed by a non degenerate noise. We improve the result of [3] 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 [3]. 2000 Mathematics Subject Classification AMS: 35Q10, 60H15, 37L40.
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تاریخ انتشار 2017