Heriot-Watt Mathematics Report Series
HWM02-56, 22 Oct 2003

A coupling approach to randomly forced nonlinear PDE's.~II

S.B. Kuksin, A Shirikyan and A Piatnitski


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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