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A Coupling Approach to Randomly Forced Nonlinear PDE's. II

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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.

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Authors and Affiliations

  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

    Sergei Kuksin & Armen Shirikyan

  2. Department of Mathematics, Narvik Institute of Technology, HiN, Postbox 385, 8505 Narvik, Norway, , , , , , NO

    Andrey Piatniski

Authors
  1. Sergei Kuksin
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  2. Andrey Piatniski
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  3. Armen Shirikyan
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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

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