Random attractors for locally monotone stochastic partial differential equations

Benjamin Gess; Wei Liu; Andre Schenke

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arXiv · 1908.03539

Random attractors for locally monotone stochastic partial differential equations

Benjamin Gess·Wei Liu·Andre Schenke

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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.

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BibTeX RIS

Benjamin Gess, Wei Liu, Andre Schenke. 2019-08-09. Random attractors for locally monotone stochastic partial differential equations. https://arxiv.org/abs/1908.03539

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