Abstract:
We consider a class of discrete time random dynamical systems and establish the exponential convergence of its trajectories to a unique stationary measure. The result obtained applies, in particular, to the 2D Navier–Stokes system and multidimensional complex Ginzburg–Landau equation with random kick-force.
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Received: 7 February 2002 / Accepted: 29 April 2002 Published online: 12 August 2002
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Kuksin, S., Piatniski, A. & Shirikyan, A. A Coupling Approach to Randomly Forced Nonlinear PDE's. II. Commun. Math. Phys. 230, 81–85 (2002). https://doi.org/10.1007/s00220-002-0707-2
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DOI: https://doi.org/10.1007/s00220-002-0707-2