The 2D stochastic Navier-Stokes equations with multiplicative Levy noise have unique strong solutions and satisfy a Freidlin-Wentzell large deviation principle under square-integrable Lipschitz and growth assumptions.
de Acosta, Large deviations for vector valued L´ evy proces ses, Stoch
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Well-posedness and large deviations for 2-D Stochastic Navier-Stokes equations with jumps
The 2D stochastic Navier-Stokes equations with multiplicative Levy noise have unique strong solutions and satisfy a Freidlin-Wentzell large deviation principle under square-integrable Lipschitz and growth assumptions.