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

doi:10.1016/S0252-9602(09)60074-6

摘要/Abstract

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].

关键词: primitive equations, Navier-Stokes equations, global well-posedness, smooth solutions

Abstract:

Key words: primitive equations, Navier-Stokes equations, global well-posedness, smooth solutions

中图分类号:

35Q30

郭柏灵, 黄代文. ON THE 3D VISCOUS PRIMITIVE EQUATIONS OF THE LARGE-SCALE ATMOSPHERE[J]. 数学物理学报(英文版), 2009, 29(4): 846-866.

GUO Bai-Ling, HUANG Dai-Wen. ON THE 3D VISCOUS PRIMITIVE EQUATIONS OF THE LARGE-SCALE ATMOSPHERE[J]. Acta mathematica scientia,Series B, 2009, 29(4): 846-866.

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