# Random attractors for locally monotone stochastic partial differential equations

## TL;DR

This paper establishes the existence of random attractors for a broad class of locally monotone stochastic partial differential equations driven by Lévy noise, covering many important SPDE models.

## Contribution

It proves the existence of random dynamical systems and attractors for various SPDEs with Lévy noise, extending the theory to a wide class of equations.

## Key findings

- Existence of random attractors for multiple SPDE models.
- Applicability to equations like Navier-Stokes, Cahn-Hilliard, and p-Laplace.
- Framework for analyzing long-term behavior of stochastic systems.

## Abstract

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.