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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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. |
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DOI: | 10.48550/arxiv.1908.03539 |