Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (4): 846-866.doi: 10.1016/S0252-9602(09)60074-6

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

  

  1. 1.Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;2.Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
  • Received:2008-12-31 Online:2009-07-20 Published:2009-07-20
  • Supported by:

    The work was supported in part by the NSF of China (90511009, 10801017) and National Basic Research Program of China (973 Program, 2007CB814800)

Abstract:

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].

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

CLC Number: 

  • 35Q30
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