Random attractors for locally monotone stochastic partial differential equations

J. Differential Equations 269 (2020), 3414-3455 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 s...

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Hauptverfasser: Gess, Benjamin, Liu, Wei, Schenke, Andre
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Sprache:eng
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Zusammenfassung:J. Differential Equations 269 (2020), 3414-3455 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.
DOI:10.48550/arxiv.1908.03539