Solutions of Stochastic Navier – Stokes Equations
نویسنده
چکیده
driven by white noise Ẇ . Under minimal assumptions on regularity of the coefficients and random forces, the existence of a global weak (martingale) solution of the stochastic Navier–Stokes equation is proved. In the two-dimensional case, the existence and pathwise uniqueness of a global strong solution is shown. A Wiener chaosbased criterion for the existence and uniqueness of a strong global solution of the Navier–Stokes equations is established.
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