On the Two-Dimensional Large-Scale Primitive Equations in Oceanic Dynamics (Ⅱ)

HUANG Dai-wen; GUO Bo-ling

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HUANG Dai-wen, GUO Bo-ling. On the Two-Dimensional Large-Scale Primitive Equations in Oceanic Dynamics (Ⅱ)[J]. Applied Mathematics and Mechanics, 2007, 28(5): 532-538.

Citation:

HUANG Dai-wen, GUO Bo-ling. On the Two-Dimensional Large-Scale Primitive Equations in Oceanic Dynamics (Ⅱ)[J]. Applied Mathematics and Mechanics, 2007, 28(5): 532-538.

Citation:

HUANG Dai-wen, GUO Bo-ling. On the Two-Dimensional Large-Scale Primitive Equations in Oceanic Dynamics (Ⅱ)[J]. Applied Mathematics and Mechanics, 2007, 28(5): 532-538.

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On the Two-Dimensional Large-Scale Primitive Equations in Oceanic Dynamics (Ⅱ)

HUANG Dai-wen^1,2,
GUO Bo-ling¹

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China;

Received Date: 2006-03-06
Rev Recd Date: 2007-04-09
Publish Date: 2007-05-15

Abstract

Abstract

The initial boundary value problem for the two-dimensional primitive equations of largescale oceanic motion in geophysics is considered sequetially.Here the depth of the ocean is positive but not always a constant.By Faedo-Galerkin method and anisotropic inequalities,the existence,uniqueness of the global weakly strong solution and global strong solution for the probem were obtained.Moreover,by study the asymptotic behavior of solutions for the ablve problem,that the energy is exponential decay in time was proved.
- primitive equations of the ocean,
- global strongsolution,
- regularity,
- exponential decay

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References(5)

References

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