无界channel-like域上带有强阻尼项的Navier-Stokes方程的全局吸引子  

Global attractor of the Navier-Stokes equation with strong damping on the unbounded channel-like domains

作　　者：岳婵 姚晓斌 YUE Chan;YAO Xiaobin(School of Mathematics and Statistics,Qinghai Minzu University,Xining 810007,China)

机构地区：[1]青海民族大学数学与统计学院,青海西宁810007

出　　处：《青海大学学报》2024年第5期101-108,共8页Journal of Qinghai University

基　　金：国家自然科学基金项目(12161071);青海民族大学研究生学科学术研讨会优秀学术成果立项资助项目(2023XSYTH-02)。

摘　　要：本文主要研究定义在无界channel-like域上带有强阻尼项的Navier-Stokes方程解的渐近行为,为克服Sobolev嵌入在无界域中的非紧性,利用一致尾部估计方法在相空间中建立解的渐近紧性,并获得所研究问题全局吸引子的存在性。This paper deals with the asymptotic behavior of the solutions of the Navier-Stokes equations with strong damping term defined in unbounded channel-like domains.In order to overcome the non-compactness of Sobolev embeddings in unbounded domains,we establish the asymptotic compactness of solutions and obtain the existence of global attractors in the phase space by using the uniform tail-ends estimates.

关 键 词：NAVIER-STOKES方程 渐近紧性 尾部估计 全局吸引子 

分 类 号：O175.29[理学—数学]