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3D tamed Navier-Stokes equations driven by multiplicative Lévy noise: Existence, uniqueness and large deviations

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In this paper, we show the existence and uniqueness of a strong solution to stochastic 3D tamed Navier-Stokes equations driven by multiplicative Levy noise with periodic boundary conditions. Then we… Click to show full abstract

In this paper, we show the existence and uniqueness of a strong solution to stochastic 3D tamed Navier-Stokes equations driven by multiplicative Levy noise with periodic boundary conditions. Then we establish the large deviation principles of the strong solution on the state space $\mathcal{D}([0,T];\mathbb{H}^1)$, where the weak convergence approach plays a key role.

Keywords: existence uniqueness; driven multiplicative; navier stokes; tamed navier; stokes equations; equations driven

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

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