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The exponential behavior of 3D stochastic primitive equations driven by fractional noise
  • Lidan Wang,
  • Guoli Zhou,
  • Boling Guo
Lidan Wang
Nankai University
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Guoli Zhou
Chongqing University
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Boling Guo
Institute of Applied Physics and Computational Mathematics
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Abstract

In this article, we study the exponential behavior of 3D stochastic primitive equations driven by fractional noise. Since fractional Brownian motion is essentially different from Brownian motion, the standard method via classic stochastic analysis tools is not available. Here, we develop a method which is close to the method from dynamic system to show that the weak solutions to 3D stochastic primitive equations driven by fractional noise converge exponentially to the unique stationary solution of primitive equations. This method may be applied to other stochastic hydrodynamic equations and other noises including Brownian motion and Lévy noise.

Peer review status:UNDER REVIEW

18 May 2020Submitted to Mathematical Methods in the Applied Sciences
23 May 2020Assigned to Editor
23 May 2020Submission Checks Completed
25 May 2020Reviewer(s) Assigned
19 Sep 2020Review(s) Completed, Editorial Evaluation Pending