Weak martingale solutions exist for the 2D and 3D stochastic Navier-Stokes equations driven by pure jump Lévy noise, under Lipschitz, growth, and continuity assumptions on the noise coefficient.
Billingsley.Probability and measure
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Weak solutions of Navier-Stokes Equation with purely discontinuous L\'evy Noise
Weak martingale solutions exist for the 2D and 3D stochastic Navier-Stokes equations driven by pure jump Lévy noise, under Lipschitz, growth, and continuity assumptions on the noise coefficient.