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The global attractor for the solutions to the 3D viscous primitive equations

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  • 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.
    Mathematics Subject Classification: 35B41, 35Q35, 37L, 65M70, 86A10.

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