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ON THE 3D VISCOUS PRIMITIVE EQUATIONS OF THE LARGE-SCALE ATMOSPHERE 被引量:11

ON THE 3D VISCOUS PRIMITIVE EQUATIONS OF THE LARGE-SCALE ATMOSPHERE
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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].
出处 《Acta Mathematica Scientia》 SCIE CSCD 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)
关键词 primitive equations Navier-Stokes equations global well-posedness smooth solutions primitive equations Navier-Stokes equations global well-posedness smooth solutions
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