Approximation of stationary statistical properties of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics

被引：0

作者：

You, Bo ^{[1
]}

Ma, Shan ^{[2
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 05期

基金：

美国国家科学基金会;

关键词：

Global attractor; Temporal approximation scheme; Stability; Stationary statistical property; Invariant measures; Upper semi-continuity; Primitive equations; Large scale; GLOBAL WELL-POSEDNESS; IMPLICIT EULER SCHEME; ATTRACTOR; REGULARITY; EXISTENCE;

D O I：

10.1007/s00033-019-1197-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective of this paper is to study the temporal approximation scheme of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics. We first prove the existence of a global attractor in V by using the Sobolev compactness embedding theorem, and then we prove its global attractor and stationary statistical properties of the temporal approximation scheme convergence to those of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics as the time step goes to zero.

引用

页数：33

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