ON THE 3D VISCOUS PRIMITIVE EQUATIONS OF THE LARGE-SCALE ATMOSPHERE  

作　　者：郭柏灵 黄代文 

机构地区：[1]Institute of Applied Physics and Computational Mathematics [2]Department of Mathematical Sciences, Tsinghua University

出　　处：《Acta Mathematica Scientia》2009年第4期846-866,共21页数学物理学报（B辑英文版）

基　　金：supported in part by the NSF of China (90511009, 10801017);National Basic Research Program of China (973 Program, 2007CB814800)

摘　　要：This paper is devoted to considering the three-dimensional viscous primitive equations of the large-scale atmosphere. First, we prove the global well-posedness for the primitive equations with weaker initial data than that in [11]. Second, we obtain the existence of smooth solutions to the equations. Moreover, we obtain the compact global attractor in V for the dynamical system generated by the primitive equations of large-scale atmosphere, which improves the result of [11].This paper is devoted to considering the three-dimensional viscous primitive equations of the large-scale atmosphere. First, we prove the global well-posedness for the primitive equations with weaker initial data than that in [11]. Second, we obtain the existence of smooth solutions to the equations. Moreover, we obtain the compact global attractor in V for the dynamical system generated by the primitive equations of large-scale atmosphere, which improves the result of [11].

关 键 词：primitive equations Navier-Stokes equations global well-posedness smooth solutions 

分 类 号：O175[理学—数学]