Global attractor of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics
Global attractor of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics
复制标题
大尺度海洋和大气动力学三维原始方程的全局吸引子
DOI：
10.1007/s00033-018-1007-9
复制
发表时间：
2018
影响因子：
2
通讯作者：
Li Fang
中科院分区：
文献类型：
--
作者：
You Bo;Li Fang
本文研究了三维自治大尺度海洋和大气动力学原始方程组的全局吸引子的存在性。根据Ziane（Appl Anal 58（3-4）：263-292，1995）关于柱型域上Stokes型系统的正则性结果，我们只能得到在中存在一个吸收集，使得该半群的紧性不能用Sobolev紧嵌入定理来证明.因此，为了得到中全局吸引子的存在性，我们对强解进行了先验估计，并通过渐近先验估计建立了中半群的渐近紧性。
The objective of this paper is to study the existence of a global attractor infor the three-dimensional autonomous primitive equations of large-scale ocean and atmosphere dynamics. According to the regularity results for the Stokes-type system in cylinder-type domains established by Ziane (Appl Anal 58(3–4):263–292, 1995), we can only obtain the existence of an absorbing set insuch that the compactness of the semigroup incannot be proved by the Sobolev compactness embedding theorem. Therefore, in order to obtain the existence of a global attractor inwe carry out some a priori estimates of strong solutions to establish the asymptotical compactness of the semigroup inby asymptotic a priori estimate.