Long-time behavior of 3D stochastic planetary geostrophic viscous model

Zhao Dong; Rangrang Zhang

doi:10.1142/S0219493718500387

Long-time behavior of 3D stochastic planetary geostrophic viscous model

Zhao Dong, Rangrang Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we consider the 3D planetary geostrophic viscous model driven by an additive random noise. It is proved that this model has exponential mixing property and global random attractor at the same time. Further, we deduce that the support of the integration of the invariant measure for the dynamic generated by this model is exactly a minimal global random attractor. Moreover, we show that the global random attractor has finite Hausdorff dimension.

Original language	English
Article number	1850038
Journal	Stochastics and Dynamics
Volume	18
Issue number	5
DOIs	https://doi.org/10.1142/S0219493718500387
Publication status	Published - 1 Oct 2018

Keywords

Planetary geostrophic viscous model
exponential mixing
finite Hausdorff dimension
global attractor

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10.1142/S0219493718500387

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abstract = "In this paper, we consider the 3D planetary geostrophic viscous model driven by an additive random noise. It is proved that this model has exponential mixing property and global random attractor at the same time. Further, we deduce that the support of the integration of the invariant measure for the dynamic generated by this model is exactly a minimal global random attractor. Moreover, we show that the global random attractor has finite Hausdorff dimension.",

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AB - In this paper, we consider the 3D planetary geostrophic viscous model driven by an additive random noise. It is proved that this model has exponential mixing property and global random attractor at the same time. Further, we deduce that the support of the integration of the invariant measure for the dynamic generated by this model is exactly a minimal global random attractor. Moreover, we show that the global random attractor has finite Hausdorff dimension.

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KW - global attractor

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Long-time behavior of 3D stochastic planetary geostrophic viscous model

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