A Coupling Approach to Randomly Forced Nonlinear PDE's. II |
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| Authors: | Sergei Kuksin Andrey Piatniski Armen Shirikyan |
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| Institution: | (1) Department of Mathematics, Heriot-Watt University, Edinburgh, EH14 4AS, UK. E-mail: S.B.Kuksin@ma.hw.ac.uk; A. Shirikyan@ma.hw.ac.uk, GB;(2) Steklov Institute of Mathematics, 8 Gubkina St., Moscow 117966, Russia, RU;(3) Department of Mathematics, Narvik Institute of Technology, HiN, Postbox 385, 8505 Narvik, Norway, NO;(4) P.N. Lebedev Physical Institute RAS 53 Leninski prospect, Moscow 117924, Russia. E-mail:andrey@sci.lebedev.ru, RU |
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| 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.
Received: 7 February 2002 / Accepted: 29 April 2002 Published online: 12 August 2002 |
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