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The global attractor for the solutions to the 3D viscous primitive equations
Existence of the global attractor is proved for the strong
solutions to the 3D viscous Primitive Equations (PEs) modeling
large scale ocean and atmosphere dynamics. This result is obtained
under the natural assumption that the external heat source $Q$ is
square integrable.
Furthermore, it is shown in [20] that the fractal and
Hausdroff dimensions of the global attractor for 3D viscous PEs
are both finite.