Asymptotic behavior of 3-D stochastic primitive equations of large-scale moist atmosphere with additive noise

Asymptotic behavior of 3-D stochastic primitive equations of large-scale moist atmosphere with additive noise
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DOI:
10.4310/cms.2021.v19.n1.a1
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发表时间:
2017-07
影响因子:
1
通讯作者:
Lidan Wang;Guoli Zhou
Lidan Wang;Guoli Zhou
中科院分区:
数学4区
文献类型:
--
作者:
Lidan Wang;Guoli Zhou

文献摘要

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利用一种新的一般方法,证明了定义在流形上的三维随机原始方程的随机吸引子的存在性,改进了确定性模型弱吸引子的存在性.进一步证明了不变测度的存在性。
Using a new and general method, we prove the existence of random attractor for the three dimensional stochastic primitive equations defined on a manifold $\D\subset\R^3$ improving the existence of weak attractor for the deterministic model. Furthermore, we show the existence of the invariant measure.