We prove the existence of random dynamical systems and random attractors for a large class of locally monotone stochastic partial differential equations perturbed by additive L\'{e}vy noise. The main result is applicable to various types of SPDE such as stochastic Burgers type equations, stochastic 2D Navier-Stokes equations, the stochastic 3D Leray-$\alpha$ model, stochastic power law fluids, the stochastic Ladyzhenskaya model, stochastic Cahn-Hilliard type equations, stochastic Kuramoto-Sivashinsky type equations, stochastic porous media equations and stochastic $p$-Laplace equations.

中文翻译：

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局部单调随机偏微分方程的随机吸引子

我们证明了受加性 L\'{e}vy 噪声扰动的一大类局部单调随机偏微分方程的随机动力系统和随机吸引子的存在。主要结果适用于各种类型的 SPDE，如随机 Burgers 型方程、随机 2D Navier-Stokes 方程、随机 3D Leray-$\alpha$ 模型、随机幂律流体、随机 Ladyzhenskaya 模型、随机 Cahn-Hilliard 型方程、随机 Kuramoto-Sivashinsky 类型方程、随机多孔介质方程和随机 $p$-Laplace 方程。