Approximation of attractors for multivalued random dynamical systems
Approximation of attractors for multivalued random dynamical systems
The concept of global attractor for stochastic partial differential inclusions has been recently introduced as a joint generalization of the theory of random attractors for random dynamical systems and global attractors for multivalued semiflows. We present a general result on the upper semicontinuity of attractors for multivalued random dynamical systems. In particular, our theory shows how the random attractor associated to a small random perturbation of a (deterministic) partial differential inclusion approximates the global attractor of the limiting problem. Some applications ilustrate the results.
- University of Seville Spain
multivalued semiflows, Random dynamical system, random attractors, Stochastic partial differential equations (aspects of stochastic analysis), Evolution inclusions, Multivalued maps, Infinite-dimensional random dynamical systems; stochastic equations, PDEs with randomness, stochastic partial differential equations, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, stochastic partial differential inclusions, global attractors, Generation, random and stochastic difference and differential equations, Global attractor
multivalued semiflows, Random dynamical system, random attractors, Stochastic partial differential equations (aspects of stochastic analysis), Evolution inclusions, Multivalued maps, Infinite-dimensional random dynamical systems; stochastic equations, PDEs with randomness, stochastic partial differential equations, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, stochastic partial differential inclusions, global attractors, Generation, random and stochastic difference and differential equations, Global attractor
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