Fractal dimension of random attractor for stochastic non-autonomous damped wave equation with linear multiplicative white noise

By Shengfan Zhou, Min Zhao. 2015

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In this paper, we first present some conditions for bounding the fractal dimension of a random invariant set of a non-autonomous random dynamical system on a separable Banach space. Then we apply these conditions to prove the finiteness of fractal dimension of random attractor for stochastic damped wave equation with linear multiplicative white noise.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/91d1ebf0547c6c01e7cf7a7dea85d9fa92db3a61