We consider the Navier–Stokes equations in vorticity form in R2 with a white noise forcing term of multiplicative type, whose spatial covariance is not regular enough to apply the Itô calculus in Lq spaces, 1 < q< ∞. We prove the existence of a unique strong (in the probability sense) solution.
Stochastic vorticity equation in R2 with not regular noise
Zanella M.
2018-01-01
Abstract
We consider the Navier–Stokes equations in vorticity form in R2 with a white noise forcing term of multiplicative type, whose spatial covariance is not regular enough to apply the Itô calculus in Lq spaces, 1 < q< ∞. We prove the existence of a unique strong (in the probability sense) solution.File in questo prodotto:
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